Datasets:
v1.8.0: Make all published AIM and OWR problems 100% self-contained and archive non-problem records
Browse files- README.md +23 -23
- dataset.json +2 -2
- problems.json +2 -2
- sets.json +1 -1
- statistics.json +29 -29
README.md
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# UnsolvedMath Dataset
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A comprehensive curated collection of **17,
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Paper: "[Open Mathematical Problems as an AI Reasoning Benchmark](https://huggingface.co/datasets/ulamai/UnsolvedMath/blob/main/open-math.pdf)"
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### Dataset Summary
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- **Total Published Problems**: 17,
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- **Erdős Problems**: 1,221 problems (100% coverage of `erdosproblems.com` / `teorth/erdosproblems` with expanded bibliography citations and Lean formalization metadata)
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- **Kourovka Notebook**: 1,934 problems (Issues 1–21, 1965–2026, plus the Archive of Solved Problems)
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- **Version**: 1.8.0
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- **Complete Erdős Problems (`EP-1`–`EP-1221`)**: Added all 589 missing Erdős problems, bringing `erdos_problems` to all 1,221 canonical problems from `erdosproblems.com` / `teorth/erdosproblems`, repaired all 581 corrupted `EP-*` background headers, and expanded bibliography citation keys into full bibliographic references.
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- **Complete Kourovka Notebook (`KOU-1.1`–`KOU-21.150`, 1,934 problems)**: Expanded `kourovka_new_problems_21` from 150 problems (Issue 21) to all 1,934 problems across Issues 1–21 (1965–2026) and the Archive of Solved Problems (Khukhro & Mazurov, eds., Oct 2026 revision), integrating editor-confirmed solutions (`*` / `\zv`) as `solved` (`evidence="maintained_source"` or `"published"`) and flagging unverified AI solution claims (`\sharp` / `\ai`) with `status_review.evidence = "unrefereed_claim"`.
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- **44 New Mathematician Open-Problem Collections (`AMR-113`–`AMR-156`, 1,200 deduplicated problems)**: Extracted, macro-expanded, quality-filtered, and deduplicated 1,200 problems from 43 pure-LaTeX arXiv open-problem surveys/notebooks (including the Lyapin Semigroup Notebook, Hirzebruch's Problem List updates, Beauville's Holomorphic Symplectic Geometry, Buzzard–Fornæss–Krantz's Several Complex Variables Problem List, Navas's ICM 1-Manifolds list, Pak's ICM Enumerative Combinatorics list, Propp's Matching & Trimer Lists, Lusztig's Iwahori–Hecke Algebras, Brenti's Coxeter Unimodality, Arithmetic Dynamics, O'Donnell's Analysis of Boolean Functions, Naber's Lower Ricci Curvature, Tsaban's Selection Principles, Sokal's Lattice Gases/Potts Models, Dinew–Guedj–Zeriahi's Pluripotential Theory, Pandharipande's AGNES list, Burns–Matveev's Geodesics, Barmpalias et al.'s Mathematical Logic, Berger–Bedford's Hénon Maps, Elayavalli's Ultraproduct $\mathrm{II}_1$ Factors, etc.) plus all 28 problems from Richard Stanley's *Positivity Problems and Conjectures in Algebraic Combinatorics* with full literature status updates.
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- **Strict `status="solved"` Policy**: `status="solved"` (2,
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- **
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- **Comprehensive Cross-Set & Internal Deduplication**: Deduplicated across Seed (`set_id=null`), OpenGarden (`OPG-*`), Green (`GREEN-*`), Guy (`GUY-*`), AIM (`AIM-*`), AMR (`AMR-*`), OWR (`OWR-*`), Kourovka (`KOU-*`), and Erdős (`EP-*`). Archived duplicates carry `published=false`, `archive_reason`, and `duplicate_of: ["<MAIN_PROBLEM_NUMBER>"]`, while canonical records carry reverse `duplicates` arrays. Enforced 100% unique `problem_number` keys across all 19,031 records.
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<!-- DISCUSSION-4:END -->
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### Problems by Difficulty
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- L1: Tractable: 896
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- L2: Intermediate: 2,
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- L3: Advanced: 13,
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- L4: Expert: 887
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- L5: Millennium Prize: 98
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### Problems by Category
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- Algebra: 1,
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- Algebraic Geometry: 1,
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- Analysis: 1,
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- Combinatorics: 1,
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- Computer Science:
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- Dynamical Systems: 888
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- Geometry: 1,
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- Graph Theory: 1,181
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- Group Theory: 2,
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- Logic:
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- Mathematical Physics:
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- Miscellaneous:
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- Number Theory: 1,
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- Partial Differential Equations:
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- Probability:
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- Set Theory: 221
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- Topology: 1,
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### Problems by Status
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- Open: 8,
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- Partially Solved: 7,
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- Solved: 2,
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## Usage
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# UnsolvedMath Dataset
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A comprehensive curated collection of **17,614 published open, partially solved, and solved mathematics problems** (19,031 total records including 1,417 archived duplicates and non-problem extracts) across all domains and difficulty levels, including the complete canonical collection of **1,221 Erdős problems**, **1,934 Kourovka Notebook problems (Issues 1–21 & Archive)**, and **125+ AMR / arXiv / Stanley open-problem collections** in machine-readable format. Available for browsing at [unsolvedmath.com](https://unsolvedmath.com).
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Paper: "[Open Mathematical Problems as an AI Reasoning Benchmark](https://huggingface.co/datasets/ulamai/UnsolvedMath/blob/main/open-math.pdf)"
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### Dataset Summary
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- **Total Published Problems**: 17,614 (19,031 total exported records including 1,417 archived records with `published=false`)
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- **Erdős Problems**: 1,221 problems (100% coverage of `erdosproblems.com` / `teorth/erdosproblems` with expanded bibliography citations and Lean formalization metadata)
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- **Kourovka Notebook**: 1,934 problems (Issues 1–21, 1965–2026, plus the Archive of Solved Problems)
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- **Version**: 1.8.0
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- **Complete Erdős Problems (`EP-1`–`EP-1221`)**: Added all 589 missing Erdős problems, bringing `erdos_problems` to all 1,221 canonical problems from `erdosproblems.com` / `teorth/erdosproblems`, repaired all 581 corrupted `EP-*` background headers, and expanded bibliography citation keys into full bibliographic references.
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- **Complete Kourovka Notebook (`KOU-1.1`–`KOU-21.150`, 1,934 problems)**: Expanded `kourovka_new_problems_21` from 150 problems (Issue 21) to all 1,934 problems across Issues 1–21 (1965–2026) and the Archive of Solved Problems (Khukhro & Mazurov, eds., Oct 2026 revision), integrating editor-confirmed solutions (`*` / `\zv`) as `solved` (`evidence="maintained_source"` or `"published"`) and flagging unverified AI solution claims (`\sharp` / `\ai`) with `status_review.evidence = "unrefereed_claim"`.
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- **44 New Mathematician Open-Problem Collections (`AMR-113`–`AMR-156`, 1,200 deduplicated problems)**: Extracted, macro-expanded, quality-filtered, and deduplicated 1,200 problems from 43 pure-LaTeX arXiv open-problem surveys/notebooks (including the Lyapin Semigroup Notebook, Hirzebruch's Problem List updates, Beauville's Holomorphic Symplectic Geometry, Buzzard–Fornæss–Krantz's Several Complex Variables Problem List, Navas's ICM 1-Manifolds list, Pak's ICM Enumerative Combinatorics list, Propp's Matching & Trimer Lists, Lusztig's Iwahori–Hecke Algebras, Brenti's Coxeter Unimodality, Arithmetic Dynamics, O'Donnell's Analysis of Boolean Functions, Naber's Lower Ricci Curvature, Tsaban's Selection Principles, Sokal's Lattice Gases/Potts Models, Dinew–Guedj–Zeriahi's Pluripotential Theory, Pandharipande's AGNES list, Burns–Matveev's Geodesics, Barmpalias et al.'s Mathematical Logic, Berger–Bedford's Hénon Maps, Elayavalli's Ultraproduct $\mathrm{II}_1$ Factors, etc.) plus all 28 problems from Richard Stanley's *Positivity Problems and Conjectures in Algebraic Combinatorics* with full literature status updates.
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- **Strict `status="solved"` Policy**: `status="solved"` (2,282 published records) is reserved strictly for peer-reviewed publications (`status_review.evidence = "published"`, 1,528 records) or canonical community-verified trackers (`status_review.evidence = "maintained_source"`, 754 records). All unrefereed preprints, AI proof claims (`SOLVED-BY-YOU` / Kourovka `\sharp`), and unverified deductions are classified under `partially_solved` or `open` with `status_review.evidence = "unrefereed_claim"` (538 published records).
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- **100% Self-Contained OWR & AIM Statements**: Reconstructed and enriched 2,148 AIM (`AIM-*`) and 68 Oberwolfach (`OWR-*`) problem statements from verified workshop PDFs, surrounding section headers, and source literature reviews (resolving all raw OCR corruption, cross-record anaphora, bare notation, unexpanded `\cite`/`\ref`/`[cite]` tokens, and raw LaTeX list environments while preserving `original_statement` for provenance). Archived (`published=false` with `archive_reason`) all non-problem records across AIM (333 total archived, including context-only setup blocks, mid-sentence PDF splits, tables of contents, participant bios, and software feature requests) and OWR (770 total archived, including duplicates, solved-in-report items, and non-mathematical historiography/didactics/empirical meteorology questions), leaving 3,026 active `AIM-*` and 5,903 active `OWR-*` problems that are 100% self-contained.
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- **Comprehensive Cross-Set & Internal Deduplication**: Deduplicated across Seed (`set_id=null`), OpenGarden (`OPG-*`), Green (`GREEN-*`), Guy (`GUY-*`), AIM (`AIM-*`), AMR (`AMR-*`), OWR (`OWR-*`), Kourovka (`KOU-*`), and Erdős (`EP-*`). Archived duplicates carry `published=false`, `archive_reason`, and `duplicate_of: ["<MAIN_PROBLEM_NUMBER>"]`, while canonical records carry reverse `duplicates` arrays. Enforced 100% unique `problem_number` keys across all 19,031 records.
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<!-- DISCUSSION-4:END -->
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### Problems by Difficulty
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- L1: Tractable: 896
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- L2: Intermediate: 2,142
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- L3: Advanced: 13,591
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- L4: Expert: 887
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- L5: Millennium Prize: 98
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### Problems by Category
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- Algebra: 1,003
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- Algebraic Geometry: 1,159
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- Analysis: 1,379
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- Combinatorics: 1,032
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- Computer Science: 554
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- Dynamical Systems: 888
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- Geometry: 1,854
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- Graph Theory: 1,181
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- Group Theory: 2,655
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- Logic: 374
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- Mathematical Physics: 363
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- Miscellaneous: 149
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- Number Theory: 1,657
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- Partial Differential Equations: 438
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- Probability: 733
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- Set Theory: 221
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- Topology: 1,974
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### Problems by Status
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- Open: 8,283
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- Partially Solved: 7,049 (includes 538 records across `open`/`partially_solved` with `status_review.evidence = "unrefereed_claim"`)
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- Solved: 2,282 (strictly peer-reviewed `published` [1,528] or canonical `maintained_source` [754])
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## Usage
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dataset.json
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version https://git-lfs.github.com/spec/v1
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oid sha256:
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size
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version https://git-lfs.github.com/spec/v1
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oid sha256:aff7376230d4d23632c791ba9876fdba88519b17fcdc4a09da2f7351b6ff8657
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size 80680687
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problems.json
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version https://git-lfs.github.com/spec/v1
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oid sha256:
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size
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version https://git-lfs.github.com/spec/v1
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oid sha256:7fcc68b82cb84e39561511a839a7de9893a6c1267cef35602151a73d3bb1e6c9
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size 78502681
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sets.json
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"id": 10,
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"name": "kourovka_new_problems_21",
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"display_name": "Kourovka Notebook (Issues 1–21)",
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"description": "Unsolved and archive-solved problems in group theory from Issues 1–21 (1965–2026) of the Kourovka Notebook, edited by E. I. Khukhro and V. D. Mazurov
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"slug": "kourovka-new-problems-21",
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"order_index": 10,
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"created_at": "2026-07-31T15:26:25.671Z"
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"id": 10,
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"name": "kourovka_new_problems_21",
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"display_name": "Kourovka Notebook (Issues 1–21)",
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"description": "Unsolved and archive-solved problems in group theory from Issues 1–21 (1965–2026) of the Kourovka Notebook, edited by E. I. Khukhro and V. D. Mazurov.",
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"slug": "kourovka-new-problems-21",
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"order_index": 10,
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"created_at": "2026-07-31T15:26:25.671Z"
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statistics.json
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{
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"total_problems":
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"problems_by_difficulty": {
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"L1: Tractable": 896,
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"L2: Intermediate":
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"L3: Advanced":
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"L4: Expert": 887,
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"L5: Millennium Prize": 98
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},
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"problems_by_category": {
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"Algebra":
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"Algebraic Geometry":
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"Analysis":
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"Combinatorics":
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"Computer Science":
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"Dynamical Systems": 888,
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"Geometry":
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"Graph Theory": 1181,
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"Group Theory":
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"Logic":
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"Mathematical Physics":
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"Miscellaneous":
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"Number Theory":
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"Partial Differential Equations":
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"Probability":
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"Set Theory": 221,
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"Topology":
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},
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"problems_by_status": {
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"open":
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"partially_solved":
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"solved":
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},
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"problems_by_set": {
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"aim_workshop_problem_lists":
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"amr_open_problem_lists": 4387,
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"darpa_challenges": 17,
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"erdos_problems": 1221,
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"kourovka_new_problems_21": 1934,
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"landau_problems": 4,
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"millennium_prize": 6,
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"oberwolfach_reports_open_problems":
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"opengarden": 377,
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"smale_problems": 8
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},
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"status_updates": {
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"discussion_url": "https://huggingface.co/datasets/ulamai/UnsolvedMath/discussions/4",
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"checked_at": "2026-10-16",
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"published_problems":
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"archived_records":
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"published_problems_by_status": {
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"open":
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"partially_solved":
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"solved":
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},
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"unrefereed_claims_flagged":
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"note": "In v1.8.0, status='solved' is reserved strictly for peer-reviewed publications or canonical community-verified resolutions (evidence in {'published', 'maintained_source'}). Unrefereed preprints, AI proof claims, and unverified deductions carry status_review.evidence='unrefereed_claim'."
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},
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"total_records_including_archived": 19031,
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"archived_records":
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}
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{
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"total_problems": 17614,
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"problems_by_difficulty": {
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"L1: Tractable": 896,
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"L2: Intermediate": 2142,
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"L3: Advanced": 13591,
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"L4: Expert": 887,
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"L5: Millennium Prize": 98
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},
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"problems_by_category": {
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"Algebra": 1003,
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"Algebraic Geometry": 1159,
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"Analysis": 1379,
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"Combinatorics": 1032,
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"Computer Science": 554,
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"Dynamical Systems": 888,
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"Geometry": 1854,
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"Graph Theory": 1181,
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"Group Theory": 2655,
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"Logic": 374,
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"Mathematical Physics": 363,
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"Miscellaneous": 149,
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"Number Theory": 1657,
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"Partial Differential Equations": 438,
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"Probability": 733,
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"Set Theory": 221,
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"Topology": 1974
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},
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"problems_by_status": {
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"open": 8283,
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"partially_solved": 7049,
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"solved": 2282
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},
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"problems_by_set": {
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"aim_workshop_problem_lists": 3026,
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"amr_open_problem_lists": 4387,
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"darpa_challenges": 17,
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"erdos_problems": 1221,
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"kourovka_new_problems_21": 1934,
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"landau_problems": 4,
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"millennium_prize": 6,
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"oberwolfach_reports_open_problems": 5903,
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"opengarden": 377,
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"smale_problems": 8
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},
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"status_updates": {
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"discussion_url": "https://huggingface.co/datasets/ulamai/UnsolvedMath/discussions/4",
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"checked_at": "2026-10-16",
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"published_problems": 17614,
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"archived_records": 1417,
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"published_problems_by_status": {
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"open": 8283,
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"partially_solved": 7049,
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"solved": 2282
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},
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+
"unrefereed_claims_flagged": 538,
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"note": "In v1.8.0, status='solved' is reserved strictly for peer-reviewed publications or canonical community-verified resolutions (evidence in {'published', 'maintained_source'}). Unrefereed preprints, AI proof claims, and unverified deductions carry status_review.evidence='unrefereed_claim'."
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},
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"total_records_including_archived": 19031,
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"archived_records": 1417
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}
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