{
  "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": 945,
    "Algebraic Geometry": 1200,
    "Analysis": 1275,
    "Combinatorics": 947,
    "Computer Science": 710,
    "Dynamical Systems": 760,
    "Geometry": 1790,
    "Graph Theory": 1063,
    "Group Theory": 920,
    "Logic": 348,
    "Mathematical Physics": 405,
    "Miscellaneous": 322,
    "Number Theory": 1467,
    "Partial Differential Equations": 447,
    "Probability": 767,
    "Set Theory": 116,
    "Topology": 1976
  },
  "problems_by_status": {
    "open": 7492,
    "partially_solved": 7007,
    "solved": 959
  },
  "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": "1.7.0",
  "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
    }
  },
  "v1_7_owr_cleanup": {
    "scope": "All 6,673 Oberwolfach Reports records; no problems added or removed",
    "titles_reviewed": 6673,
    "titles_changed": 6673,
    "public_statements_changed": 5386,
    "category_assignments_changed": 3276,
    "source_reports": 1106,
    "source_checked_records": 3482,
    "statement_statuses": {
      "corrected_verified": 5532,
      "exact": 493,
      "reconstructed_unverified": 11,
      "unrecoverable": 637
    },
    "non_owr_records_preserved": 8785,
    "non_owr_sha256": "75aa7ebe0cc566f4bc197ae57c1e2fd308498e09bb73f638a63e40c7f0098ba9"
  },
  "status_updates": {
    "discussion_url": "https://huggingface.co/datasets/ulamai/UnsolvedMath/discussions/4",
    "checked_at": "2026-09-28",
    "records_reviewed": 381,
    "note": "Current statuses, statements and summaries include dated community corrections. Superseded summaries are preserved as historical_research_summary; original research classifications and full AI reports remain historical. Filter published=true to exclude archived extracts. Unrefereed claims and scope limitations are qualified per record.",
    "reviewed_statuses": {
      "open": 45,
      "partially_solved": 63,
      "solved": 273
    },
    "published_problems": 15432,
    "archived_records": 26,
    "published_problems_by_status": {
      "open": 7478,
      "partially_solved": 6999,
      "solved": 955
    },
    "current_owr_statuses": {
      "open": 4458,
      "partially_solved": 2180,
      "solved": 35
    },
    "current_literature_triage_statuses": {
      "open": 650,
      "partially_solved": 1214,
      "solved": 220
    }
  }
}