{
  "status": "fixed before research training; data construction only",
  "arms": [
    "A",
    "B",
    "repA",
    "repB"
  ],
  "design": "Shared random graph; independent complete-query 10% reserve and 50/25/25 fact assignment. Background paths have two BG edges. Each role path contains one or two own-cohort facts, only BG/own-cohort edges, never the opposite cohort. Role pools uniformly downsampled to smaller size. No graph reselection.",
  "same_across_arms": [
    "all atomic facts",
    "complete held-out queries and nine fact-cohort pair strata",
    "base atomic draw stream",
    "background composition draw stream",
    "nominal slots and per-slot loss weight",
    "architecture and initialization within seed"
  ],
  "main_comparison": "Same held-out AA queries under A versus B; same BB under B versus A; average the two cohort effects equally within each world, then average initialization within world. New worlds remain independent units.",
  "repetition_control": "For exactly each selected role path in A/B, repA/repB substitute both constituent atomic queries, each weighted one half. Raw constituent occurrences match at every step. Direct supervision, information, input length, actual row count and compute do not match.",
  "batch": {
    "base_atomic": 32,
    "background_composite": 112,
    "role_slots": 112,
    "main_rows": 256,
    "repetition_rows": 368,
    "loss_weight_sum": 256,
    "main_supervised_tokens": 512,
    "repetition_supervised_tokens": 736,
    "main_effective_input_tokens": 992,
    "repetition_effective_input_tokens": 1216
  },
  "budget_steps": 128000,
  "metadata": {
    "world_seed": 146001,
    "seed": 146001,
    "entities": 128,
    "relations": 16,
    "degree": 8,
    "hops": 2,
    "vocab_size": 146,
    "test_fraction": 0.1,
    "cohort_assignment_rng": "SeedSequence([world_seed,146102])",
    "complete_query_reserve_rng": "SeedSequence([world_seed,146101])",
    "role_pool_rng": "SeedSequence([world_seed,146103,group])",
    "group_names": [
      "BG",
      "A",
      "B"
    ],
    "group_sizes": [
      512,
      256,
      256
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    "role_candidate_sizes": {
      "A": 2288,
      "B": 2309
    },
    "role_pool_size": 2288,
    "background_pool_size": 1877,
    "test_queries": 844,
    "all_queries": 8192,
    "source_graph_sha256": "b04266a2fc86618d0a8f99827211a8f5cd5848f7a08a330472273ec6bacbad85",
    "source_graph_constructor": "grok_depth_data.build_world (atomic graph only)",
    "role_meaning": "random eligibility; actual per-fact occurrence counts also reported",
    "selection": "one supplied graph; no data or model-score based seed selection",
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      "BG_B": 114,
      "A_BG": 96,
      "A_A": 59,
      "A_B": 58,
      "B_BG": 97,
      "B_A": 51,
      "B_B": 56
    },
    "dataset_sha256": "72ebdace4af04d36e34492002d7f2f25f1bd0201591ad983d72d31a0f69adee2"
  },
  "arm_counts": {
    "A": {
      "eligible_facts_without_actual_composite_occurrence": 0
    },
    "B": {
      "eligible_facts_without_actual_composite_occurrence": 0
    },
    "repA": {
      "eligible_facts_without_actual_composite_occurrence": 0
    },
    "repB": {
      "eligible_facts_without_actual_composite_occurrence": 0
    }
  },
  "interpretation": "Randomized role assignment changes the overall composition-training treatment; global parameter sharing and surrounding training paths also change. Constituent repetition controls fact-frequency explanations but does not prove a pure local interface mechanism. Evaluation of held-out questions is not independent-world replication."
}