Datasets:
File size: 4,198 Bytes
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"total_problems": 15458,
"problems_by_difficulty": {
"L1: Tractable": 916,
"L2: Intermediate": 523,
"L3: Advanced": 12919,
"L4: Expert": 963,
"L5: Millennium Prize": 137
},
"problems_by_category": {
"Algebra": 927,
"Algebraic Geometry": 830,
"Analysis": 1143,
"Combinatorics": 744,
"Computer Science": 642,
"Dynamical Systems": 667,
"Geometry": 1967,
"Graph Theory": 1222,
"Group Theory": 848,
"Logic": 286,
"Mathematical Physics": 352,
"Miscellaneous": 1530,
"Number Theory": 1268,
"Partial Differential Equations": 270,
"Probability": 798,
"Set Theory": 77,
"Topology": 1887
},
"problems_by_status": {
"open": 8955,
"partially_solved": 5807,
"solved": 696
},
"problems_by_set": {
"aim_workshop_problem_lists": 3359,
"amr_open_problem_lists": 3342,
"darpa_challenges": 17,
"erdos_problems": 632,
"green_problems": 85,
"hilbert_problems": 11,
"kirby_low_dimensional_topology": 366,
"kourovka_new_problems_21": 150,
"landau_problems": 1,
"millennium_prize": 6,
"oberwolfach_reports_open_problems": 6673,
"opengarden": 422,
"smale_problems": 8
},
"amr_research": {
"reports_total": 3342,
"classifications": {
"PARTIAL-PROGRESS": 963,
"OPEN-TRIAGE": 2196,
"SOLVED-IN-LITERATURE": 181,
"SOLVED-BY-YOU": 2
},
"note": "Every AMR problem carries structured research notes in research_results.json (solution attempt, partial progress, or literature triage), produced by an AI research fleet and verified in a human-supervised audit (Aug 2026). Classifications: SOLVED-BY-YOU (original AI proof), SOLVED-IN-LITERATURE (resolution found and citation-verified), PARTIAL-PROGRESS, OPEN-TRIAGE (literature status triaged, problem open)."
},
"aim_research": {
"reports_total": 3359,
"classifications": {
"PARTIAL-PROGRESS": 2664,
"SOLVED-IN-LITERATURE": 461,
"SOLVED-BY-YOU": 43,
"OPEN-TRIAGE": 191
},
"result_statuses": {
"partial_result": 2589,
"conditional_result": 45,
"reduction": 182,
"full_solution": 174,
"counterexample": 177,
"context_only": 150,
"invalid_statement": 41,
"heuristic": 1
},
"rigor": {
"proved": 3329,
"conditional": 29,
"heuristic": 1
},
"novelty_confidence": {
"low": 3348,
"medium": 11
},
"wording_corrected": {
"no": 3298,
"yes": 61
},
"statement_statuses": {
"exact": 2886,
"reconstructed_unverified": 385,
"corrected_verified": 61,
"unrecoverable": 27
},
"note": "Every canonical AIM problem carries an exact AIM-... identifier and an individual validated report in research_results.json. All 3,359 problems added in v1.4 are from AIM workshops and each received one solution attempt using GPT-5.6 Sol at xhigh reasoning effort. Reports embed the exact input, claim, standalone LaTeX solution, result metadata, and an explicit statement-recovery audit separating original and clean text. Machine-generated research and novelty assessments require independent expert verification."
},
"literature_triage": {
"reports_total": 2084,
"scope": "All non-AMR and non-AIM problem records",
"literature_review_checked": "2026-08-17",
"statuses": {
"open": 670,
"partially_solved": 1215,
"solved": 199
},
"classifications": {
"OPEN-TRIAGE": 670,
"PARTIAL-PROGRESS": 1215,
"SOLVED-IN-LITERATURE": 199
},
"note": "Each dated literature review is appended to the problem background with source links. A refutation or counterexample is classified as solved, and uncertain literature status is classified as partially solved. These machine-generated triage labels supplement the legacy status field and require independent verification before citation."
},
"version": "1.6.0",
"v1_6_owr": {
"problems_total": 6673,
"source_reports": 1106,
"statuses": {
"open": 4493,
"partially_solved": 2180
},
"checked_at": {
"2026-08-21": 4029,
"2026-08-22": 2644
}
}
}
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