{
 "total_problems": 8785,
 "problems_by_difficulty": {
  "L1: Tractable": 916,
  "L2: Intermediate": 523,
  "L3: Advanced": 6246,
  "L4: Expert": 963,
  "L5: Millennium Prize": 137
 },
 "problems_by_category": {
  "Number Theory": 915,
  "Combinatorics": 686,
  "Graph Theory": 727,
  "Algebra": 277,
  "Algebraic Geometry": 455,
  "Geometry": 1088,
  "Topology": 1498,
  "Analysis": 851,
  "Partial Differential Equations": 139,
  "Set Theory": 16,
  "Dynamical Systems": 520,
  "Computer Science": 298,
  "Mathematical Physics": 116,
  "Group Theory": 470,
  "Logic": 210,
  "Probability": 312,
  "Miscellaneous": 207
 },
 "problems_by_status": {
  "open": 4462,
  "solved": 696,
  "partially_solved": 3627
 },
 "problems_by_set": {
  "millennium_prize": 6,
  "hilbert_problems": 11,
  "green_problems": 85,
  "darpa_challenges": 17,
  "smale_problems": 8,
  "landau_problems": 1,
  "hardy_littlewood_conjectures": 0,
  "erdos_problems": 632,
  "guy_prime_numbers": 0,
  "kourovka_new_problems_21": 150,
  "kirby_low_dimensional_topology": 366,
  "opengarden": 422,
  "amr_open_problem_lists": 3342,
  "aim_workshop_problem_lists": 3359,
  "unspecified": 386
 },
 "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."
 },
 "version": "1.4.0"
}