Release UnsolvedMath v1.2
Browse files- .gitattributes +2 -0
- README.md +31 -29
- categories.json +17 -17
- dataset.json +0 -0
- problems.json +0 -0
- sets.json +21 -12
- statistics.json +22 -20
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problems.json filter=lfs diff=lfs merge=lfs -text
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README.md
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# UnsolvedMath Dataset
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A comprehensive curated collection of **
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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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- Kourovka Notebook New Problems
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- Kirby's Problems in Low-Dimensional Topology
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- OpenGarden / Open Problem Garden
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### Dataset Summary
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- **Total Problems**:
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- **Erdős Problems**: 632 problems with citations and references
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- **Version**: 1.
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- **Categories**: 17 mathematical domains
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- **Difficulty Levels**: 5 (L1: Tractable → L5: Millennium Prize)
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- **Problem Sets**:
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- **Format**: JSON
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- **License**: CC BY 4.0
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### New in v1.
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This release adds
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- **
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### Supported Tasks
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### Problems by Difficulty
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- L1: Tractable: 916
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- L3: Advanced: 496
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- L2: Intermediate: 316
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- L4: Expert: 220
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- L5: Millennium Prize: 136
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### Problems by Category
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- Graph Theory:
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- Set Theory: 16
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- Logic: 10
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- Algebraic Geometry: 9
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- Partial Differential Equations: 8
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- Mathematical Physics: 6
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- Analysis: 5
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- Dynamical Systems: 2
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- Probability: 1
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- Miscellaneous: 1
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### Problems by Status
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- Open:
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- Solved: 9
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- Partially Solved:
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## Usage
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- Problem difficulty is subjective and based on expert consensus
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- LaTeX notation may require preprocessing for some applications
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- Status (open/solved) should be verified for time-sensitive applications
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## Citation
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---
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**Generated**: 2026-
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**Version**: 1.
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# UnsolvedMath Dataset
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A comprehensive curated collection of **5,426 open mathematics problems** across all domains and difficulty levels, including the largest collection of Erdős problems available 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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- Kourovka Notebook New Problems
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- Kirby's Problems in Low-Dimensional Topology
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- OpenGarden / Open Problem Garden
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- AMR Open Problem Lists
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### Dataset Summary
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- **Total Problems**: 5426
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- **Erdős Problems**: 632 problems with citations and references
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- **Version**: 1.2.0
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- **Categories**: 17 mathematical domains
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- **Difficulty Levels**: 5 (L1: Tractable → L5: Millennium Prize)
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- **Problem Sets**: 13 curated collections
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- **Format**: JSON
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- **License**: CC BY 4.0
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### New in v1.2.0
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This release adds problems collected from public source lists in the AMR index. AIM workshop lists are intentionally excluded because they are maintained as a separate collection.
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- **AMR Open Problem Lists**: 3342 problems
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Every AMR record retains its source URL, extraction method, and status/rights review notes in the `background` field.
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### Supported Tasks
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### Problems by Difficulty
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- L3: Advanced: 3838
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- L1: Tractable: 916
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- L2: Intermediate: 316
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- L4: Expert: 220
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- L5: Millennium Prize: 136
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### Problems by Category
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- Topology: 1217
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- Graph Theory: 727
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- Number Theory: 677
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- Geometry: 605
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- Analysis: 559
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- Dynamical Systems: 421
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- Combinatorics: 399
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- Group Theory: 299
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- Algebra: 145
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- Probability: 142
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- Computer Science: 57
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- Mathematical Physics: 50
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- Logic: 50
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- Partial Differential Equations: 35
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- Algebraic Geometry: 26
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- Set Theory: 16
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- Miscellaneous: 1
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### Problems by Status
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- Open: 5156
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- Solved: 9
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- Partially Solved: 261
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## Usage
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- Problem difficulty is subjective and based on expert consensus
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- LaTeX notation may require preprocessing for some applications
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- Status (open/solved) should be verified for time-sensitive applications
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- Some AMR records retain `NEEDS_REVIEW` status or rights notes from the source audit; consult each record's provenance before reuse
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## Citation
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---
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**Generated**: 2026-07-31T15:26:26.167Z
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**Version**: 1.2.0
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categories.json
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"description": "Properties of integers, prime numbers, Diophantine equations.",
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"slug": "number-theory",
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"order_index": 1,
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"created_at": "2026-
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},
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{
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"id": 2,
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"description": "Counting problems, graph theory, discrete structures.",
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"slug": "combinatorics",
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"order_index": 2,
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"created_at": "2026-
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},
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{
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"id": 3,
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"description": "Problems involving graphs, networks, and their properties.",
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"slug": "graph-theory",
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"order_index": 3,
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"created_at": "2026-
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},
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{
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"id": 4,
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"description": "Group theory, ring theory, field theory, and algebraic structures.",
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"slug": "algebra",
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"order_index": 4,
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"created_at": "2026-
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},
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{
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"id": 5,
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"description": "Geometric objects defined by polynomial equations.",
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"slug": "algebraic-geometry",
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"order_index": 5,
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"created_at": "2026-
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},
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{
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"id": 6,
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"description": "Euclidean and non-Euclidean geometry, geometric structures.",
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"slug": "geometry",
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"order_index": 6,
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"created_at": "2026-
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},
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{
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"id": 7,
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"description": "Properties preserved under continuous deformations.",
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"slug": "topology",
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"order_index": 7,
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"created_at": "2026-
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},
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{
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"id": 8,
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"description": "Limits, continuity, calculus, and function theory.",
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"slug": "analysis",
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"order_index": 8,
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"created_at": "2026-
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},
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{
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"id": 9,
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"description": "PDEs and their applications in physics and geometry.",
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"slug": "pde",
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"order_index": 9,
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"created_at": "2026-
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},
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{
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"id": 10,
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"description": "Foundations of mathematics, infinite sets, and cardinality.",
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"slug": "set-theory",
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"order_index": 10,
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"created_at": "2026-
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},
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{
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"id": 11,
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"description": "Problems about long-term behavior of deterministic systems, Hamiltonian dynamics, and periodic orbits.",
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"slug": "dynamical-systems",
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"order_index": 11,
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"created_at": "2026-
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"id": 15,
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"description": "Computational complexity, algorithms, and theoretical CS.",
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"slug": "computer-science",
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"order_index": 15,
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"created_at": "2026-
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"id": 16,
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"description": "Problems at the intersection of mathematics and physics.",
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"slug": "physics",
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"order_index": 16,
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"created_at": "2026-
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},
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{
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"id": 17,
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"description": "Problems about groups, group actions, representations, and related algebraic structures.",
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"slug": "group-theory",
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"order_index": 17,
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"created_at": "2026-
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},
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"id": 18,
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"description": "Problems in mathematical logic, model theory, proof theory, and finite model theory.",
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"slug": "logic",
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"order_index": 18,
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"created_at": "2026-
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},
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"id": 19,
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"description": "Problems involving probability theory, stochastic processes, and random structures.",
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"slug": "probability",
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"order_index": 19,
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"created_at": "2026-
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"id": 20,
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"description": "Problems whose source classification does not fit the main mathematical categories.",
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"slug": "miscellaneous",
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"order_index": 20,
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"created_at": "2026-
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}
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]
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"description": "Properties of integers, prime numbers, Diophantine equations.",
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"slug": "number-theory",
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"order_index": 1,
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"created_at": "2026-07-31T15:26:25.670Z"
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},
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{
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"id": 2,
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"description": "Counting problems, graph theory, discrete structures.",
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"slug": "combinatorics",
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"order_index": 2,
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"created_at": "2026-07-31T15:26:25.671Z"
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},
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{
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"id": 3,
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"description": "Problems involving graphs, networks, and their properties.",
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"slug": "graph-theory",
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"order_index": 3,
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"created_at": "2026-07-31T15:26:25.671Z"
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},
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{
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"id": 4,
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"description": "Group theory, ring theory, field theory, and algebraic structures.",
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"slug": "algebra",
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"order_index": 4,
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"created_at": "2026-07-31T15:26:25.671Z"
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},
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{
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"id": 5,
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"description": "Geometric objects defined by polynomial equations.",
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"slug": "algebraic-geometry",
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"order_index": 5,
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"created_at": "2026-07-31T15:26:25.671Z"
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},
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{
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"id": 6,
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"description": "Euclidean and non-Euclidean geometry, geometric structures.",
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"slug": "geometry",
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"order_index": 6,
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"created_at": "2026-07-31T15:26:25.671Z"
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},
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{
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"id": 7,
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"description": "Properties preserved under continuous deformations.",
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"slug": "topology",
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"order_index": 7,
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"created_at": "2026-07-31T15:26:25.671Z"
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},
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{
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"id": 8,
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"description": "Limits, continuity, calculus, and function theory.",
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"slug": "analysis",
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"order_index": 8,
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"created_at": "2026-07-31T15:26:25.671Z"
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},
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{
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"id": 9,
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"description": "PDEs and their applications in physics and geometry.",
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"slug": "pde",
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"order_index": 9,
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"created_at": "2026-07-31T15:26:25.671Z"
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},
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{
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"id": 10,
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"description": "Foundations of mathematics, infinite sets, and cardinality.",
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"slug": "set-theory",
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"order_index": 10,
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"created_at": "2026-07-31T15:26:25.671Z"
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},
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{
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"id": 11,
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"description": "Problems about long-term behavior of deterministic systems, Hamiltonian dynamics, and periodic orbits.",
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"slug": "dynamical-systems",
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"order_index": 11,
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"created_at": "2026-07-31T15:26:25.671Z"
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},
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{
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"id": 15,
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"description": "Computational complexity, algorithms, and theoretical CS.",
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"slug": "computer-science",
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"order_index": 15,
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"created_at": "2026-07-31T15:26:25.671Z"
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},
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{
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"id": 16,
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"description": "Problems at the intersection of mathematics and physics.",
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"slug": "physics",
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"order_index": 16,
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"created_at": "2026-07-31T15:26:25.671Z"
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},
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{
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"id": 17,
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"description": "Problems about groups, group actions, representations, and related algebraic structures.",
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"slug": "group-theory",
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"order_index": 17,
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"created_at": "2026-07-31T15:26:25.671Z"
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},
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{
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"id": 18,
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"description": "Problems in mathematical logic, model theory, proof theory, and finite model theory.",
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"slug": "logic",
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"order_index": 18,
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"created_at": "2026-07-31T15:26:25.671Z"
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},
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{
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"id": 19,
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"description": "Problems involving probability theory, stochastic processes, and random structures.",
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"slug": "probability",
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"order_index": 19,
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"created_at": "2026-07-31T15:26:25.671Z"
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},
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{
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"id": 20,
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"description": "Problems whose source classification does not fit the main mathematical categories.",
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"slug": "miscellaneous",
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"order_index": 20,
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"created_at": "2026-07-31T15:26:25.671Z"
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}
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]
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dataset.json
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problems.json
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sets.json
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@@ -6,7 +6,7 @@
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"description": "Seven problems selected by the Clay Mathematics Institute in 2000, each with a $1,000,000 prize for solution.",
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"slug": "millennium-prize",
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"order_index": 1,
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-
"created_at": "2026-
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},
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{
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"id": 2,
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@@ -15,7 +15,7 @@
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"description": "David Hilbert's list of 23 unsolved problems presented at the International Congress of Mathematicians in Paris in 1900.",
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"slug": "hilbert-problems",
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"order_index": 2,
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-
"created_at": "2026-
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},
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{
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"id": 3,
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@@ -24,7 +24,7 @@
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"description": "A collection of 100 open problems in additive combinatorics and related areas, compiled by Ben Green.",
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| 25 |
"slug": "green-problems",
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| 26 |
"order_index": 3,
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| 27 |
-
"created_at": "2026-
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},
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{
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"id": 4,
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@@ -33,7 +33,7 @@
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"description": "Mathematical challenges identified by DARPA to drive fundamental research in mathematics.",
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"slug": "darpa-challenges",
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"order_index": 4,
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| 36 |
-
"created_at": "2026-
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},
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{
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"id": 5,
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@@ -42,7 +42,7 @@
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| 42 |
"description": "Steve Smale's list of mathematical problems for the 21st century.",
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"slug": "smale-problems",
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"order_index": 5,
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| 45 |
-
"created_at": "2026-
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| 46 |
},
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{
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"id": 6,
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@@ -51,7 +51,7 @@
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| 51 |
"description": "Four basic problems about prime numbers posed by Edmund Landau at the 1912 International Congress of Mathematicians.",
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"slug": "landau-problems",
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"order_index": 6,
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| 54 |
-
"created_at": "2026-
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| 55 |
},
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{
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"id": 7,
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@@ -60,7 +60,7 @@
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| 60 |
"description": "A collection of fundamental conjectures on prime numbers, Goldbach-type problems, and Waring's problem from the \"Partitio Numerorum\" papers (1919-1923) by G.H. Hardy and J.E. Littlewood.",
|
| 61 |
"slug": "hardy-littlewood-conjectures",
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| 62 |
"order_index": 7,
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| 63 |
-
"created_at": "2026-
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| 64 |
},
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| 65 |
{
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| 66 |
"id": 8,
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@@ -69,7 +69,7 @@
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| 69 |
"description": "A collection of open problems posed by Paul Erdős, one of the most prolific mathematicians of the 20th century. These problems span combinatorics, number theory, graph theory, and analysis.",
|
| 70 |
"slug": "erdos-problems",
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| 71 |
"order_index": 8,
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| 72 |
-
"created_at": "2026-
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| 73 |
},
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| 74 |
{
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| 75 |
"id": 9,
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@@ -78,7 +78,7 @@
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|
| 78 |
"description": "Problems from Chapter A (Prime Numbers) of Richard Guy's \"Unsolved Problems in Number Theory\", a comprehensive collection of open questions in prime number theory.",
|
| 79 |
"slug": "guy-prime-numbers",
|
| 80 |
"order_index": 9,
|
| 81 |
-
"created_at": "2026-
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| 82 |
},
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| 83 |
{
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| 84 |
"id": 10,
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@@ -87,7 +87,7 @@
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|
| 87 |
"description": "New group theory problems from the 21st issue of the Kourovka Notebook, published in 2026.",
|
| 88 |
"slug": "kourovka-new-problems-21",
|
| 89 |
"order_index": 10,
|
| 90 |
-
"created_at": "2026-
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| 91 |
},
|
| 92 |
{
|
| 93 |
"id": 11,
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@@ -96,7 +96,7 @@
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|
| 96 |
"description": "Problems from Kirby-style notes on low-dimensional topology, including knot theory, 3-manifolds, 4-manifolds, and related invariants.",
|
| 97 |
"slug": "kirby-low-dimensional-topology",
|
| 98 |
"order_index": 11,
|
| 99 |
-
"created_at": "2026-
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| 100 |
},
|
| 101 |
{
|
| 102 |
"id": 12,
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@@ -105,6 +105,15 @@
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|
| 105 |
"description": "Problems imported from the Open Problem Garden collection, using source statements, discussion notes, and subject metadata.",
|
| 106 |
"slug": "opengarden",
|
| 107 |
"order_index": 12,
|
| 108 |
-
"created_at": "2026-
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| 109 |
}
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| 110 |
]
|
|
|
|
| 6 |
"description": "Seven problems selected by the Clay Mathematics Institute in 2000, each with a $1,000,000 prize for solution.",
|
| 7 |
"slug": "millennium-prize",
|
| 8 |
"order_index": 1,
|
| 9 |
+
"created_at": "2026-07-31T15:26:25.671Z"
|
| 10 |
},
|
| 11 |
{
|
| 12 |
"id": 2,
|
|
|
|
| 15 |
"description": "David Hilbert's list of 23 unsolved problems presented at the International Congress of Mathematicians in Paris in 1900.",
|
| 16 |
"slug": "hilbert-problems",
|
| 17 |
"order_index": 2,
|
| 18 |
+
"created_at": "2026-07-31T15:26:25.671Z"
|
| 19 |
},
|
| 20 |
{
|
| 21 |
"id": 3,
|
|
|
|
| 24 |
"description": "A collection of 100 open problems in additive combinatorics and related areas, compiled by Ben Green.",
|
| 25 |
"slug": "green-problems",
|
| 26 |
"order_index": 3,
|
| 27 |
+
"created_at": "2026-07-31T15:26:25.671Z"
|
| 28 |
},
|
| 29 |
{
|
| 30 |
"id": 4,
|
|
|
|
| 33 |
"description": "Mathematical challenges identified by DARPA to drive fundamental research in mathematics.",
|
| 34 |
"slug": "darpa-challenges",
|
| 35 |
"order_index": 4,
|
| 36 |
+
"created_at": "2026-07-31T15:26:25.671Z"
|
| 37 |
},
|
| 38 |
{
|
| 39 |
"id": 5,
|
|
|
|
| 42 |
"description": "Steve Smale's list of mathematical problems for the 21st century.",
|
| 43 |
"slug": "smale-problems",
|
| 44 |
"order_index": 5,
|
| 45 |
+
"created_at": "2026-07-31T15:26:25.671Z"
|
| 46 |
},
|
| 47 |
{
|
| 48 |
"id": 6,
|
|
|
|
| 51 |
"description": "Four basic problems about prime numbers posed by Edmund Landau at the 1912 International Congress of Mathematicians.",
|
| 52 |
"slug": "landau-problems",
|
| 53 |
"order_index": 6,
|
| 54 |
+
"created_at": "2026-07-31T15:26:25.671Z"
|
| 55 |
},
|
| 56 |
{
|
| 57 |
"id": 7,
|
|
|
|
| 60 |
"description": "A collection of fundamental conjectures on prime numbers, Goldbach-type problems, and Waring's problem from the \"Partitio Numerorum\" papers (1919-1923) by G.H. Hardy and J.E. Littlewood.",
|
| 61 |
"slug": "hardy-littlewood-conjectures",
|
| 62 |
"order_index": 7,
|
| 63 |
+
"created_at": "2026-07-31T15:26:25.671Z"
|
| 64 |
},
|
| 65 |
{
|
| 66 |
"id": 8,
|
|
|
|
| 69 |
"description": "A collection of open problems posed by Paul Erdős, one of the most prolific mathematicians of the 20th century. These problems span combinatorics, number theory, graph theory, and analysis.",
|
| 70 |
"slug": "erdos-problems",
|
| 71 |
"order_index": 8,
|
| 72 |
+
"created_at": "2026-07-31T15:26:25.671Z"
|
| 73 |
},
|
| 74 |
{
|
| 75 |
"id": 9,
|
|
|
|
| 78 |
"description": "Problems from Chapter A (Prime Numbers) of Richard Guy's \"Unsolved Problems in Number Theory\", a comprehensive collection of open questions in prime number theory.",
|
| 79 |
"slug": "guy-prime-numbers",
|
| 80 |
"order_index": 9,
|
| 81 |
+
"created_at": "2026-07-31T15:26:25.671Z"
|
| 82 |
},
|
| 83 |
{
|
| 84 |
"id": 10,
|
|
|
|
| 87 |
"description": "New group theory problems from the 21st issue of the Kourovka Notebook, published in 2026.",
|
| 88 |
"slug": "kourovka-new-problems-21",
|
| 89 |
"order_index": 10,
|
| 90 |
+
"created_at": "2026-07-31T15:26:25.671Z"
|
| 91 |
},
|
| 92 |
{
|
| 93 |
"id": 11,
|
|
|
|
| 96 |
"description": "Problems from Kirby-style notes on low-dimensional topology, including knot theory, 3-manifolds, 4-manifolds, and related invariants.",
|
| 97 |
"slug": "kirby-low-dimensional-topology",
|
| 98 |
"order_index": 11,
|
| 99 |
+
"created_at": "2026-07-31T15:26:25.671Z"
|
| 100 |
},
|
| 101 |
{
|
| 102 |
"id": 12,
|
|
|
|
| 105 |
"description": "Problems imported from the Open Problem Garden collection, using source statements, discussion notes, and subject metadata.",
|
| 106 |
"slug": "opengarden",
|
| 107 |
"order_index": 12,
|
| 108 |
+
"created_at": "2026-07-31T15:26:25.671Z"
|
| 109 |
+
},
|
| 110 |
+
{
|
| 111 |
+
"id": 13,
|
| 112 |
+
"name": "amr_open_problem_lists",
|
| 113 |
+
"display_name": "AMR Open Problem Lists",
|
| 114 |
+
"description": "Open and partially solved problems collected from public source lists indexed by AMR, with per-record provenance and status notes.",
|
| 115 |
+
"slug": "amr-open-problem-lists",
|
| 116 |
+
"order_index": 13,
|
| 117 |
+
"created_at": "2026-07-31T15:26:25.671Z"
|
| 118 |
}
|
| 119 |
]
|
statistics.json
CHANGED
|
@@ -1,34 +1,35 @@
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|
| 1 |
{
|
| 2 |
-
"total_problems":
|
| 3 |
"problems_by_difficulty": {
|
| 4 |
"L5: Millennium Prize": 136,
|
| 5 |
-
"L3: Advanced":
|
| 6 |
"L4: Expert": 220,
|
| 7 |
"L2: Intermediate": 316,
|
| 8 |
"L1: Tractable": 916
|
| 9 |
},
|
| 10 |
"problems_by_category": {
|
| 11 |
-
"Computer Science":
|
| 12 |
-
"Number Theory":
|
| 13 |
-
"Mathematical Physics":
|
| 14 |
-
"Partial Differential Equations":
|
| 15 |
-
"Algebraic Geometry":
|
| 16 |
-
"Combinatorics":
|
| 17 |
-
"Graph Theory":
|
| 18 |
-
"Topology":
|
| 19 |
-
"Geometry":
|
| 20 |
-
"Algebra":
|
| 21 |
"Set Theory": 16,
|
| 22 |
-
"Dynamical Systems":
|
| 23 |
-
"Group Theory":
|
| 24 |
-
"Analysis":
|
| 25 |
-
"Logic":
|
| 26 |
-
"Probability":
|
| 27 |
"Miscellaneous": 1
|
| 28 |
},
|
| 29 |
"problems_by_status": {
|
| 30 |
-
"open":
|
| 31 |
-
"solved": 9
|
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|
|
| 32 |
},
|
| 33 |
"problems_by_set": {
|
| 34 |
"millennium_prize": 6,
|
|
@@ -40,6 +41,7 @@
|
|
| 40 |
"erdos_problems": 632,
|
| 41 |
"kourovka_new_problems_21": 150,
|
| 42 |
"kirby_low_dimensional_topology": 366,
|
| 43 |
-
"opengarden": 422
|
|
|
|
| 44 |
}
|
| 45 |
}
|
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|
| 1 |
{
|
| 2 |
+
"total_problems": 5426,
|
| 3 |
"problems_by_difficulty": {
|
| 4 |
"L5: Millennium Prize": 136,
|
| 5 |
+
"L3: Advanced": 3838,
|
| 6 |
"L4: Expert": 220,
|
| 7 |
"L2: Intermediate": 316,
|
| 8 |
"L1: Tractable": 916
|
| 9 |
},
|
| 10 |
"problems_by_category": {
|
| 11 |
+
"Computer Science": 57,
|
| 12 |
+
"Number Theory": 677,
|
| 13 |
+
"Mathematical Physics": 50,
|
| 14 |
+
"Partial Differential Equations": 35,
|
| 15 |
+
"Algebraic Geometry": 26,
|
| 16 |
+
"Combinatorics": 399,
|
| 17 |
+
"Graph Theory": 727,
|
| 18 |
+
"Topology": 1217,
|
| 19 |
+
"Geometry": 605,
|
| 20 |
+
"Algebra": 145,
|
| 21 |
"Set Theory": 16,
|
| 22 |
+
"Dynamical Systems": 421,
|
| 23 |
+
"Group Theory": 299,
|
| 24 |
+
"Analysis": 559,
|
| 25 |
+
"Logic": 50,
|
| 26 |
+
"Probability": 142,
|
| 27 |
"Miscellaneous": 1
|
| 28 |
},
|
| 29 |
"problems_by_status": {
|
| 30 |
+
"open": 5156,
|
| 31 |
+
"solved": 9,
|
| 32 |
+
"partially_solved": 261
|
| 33 |
},
|
| 34 |
"problems_by_set": {
|
| 35 |
"millennium_prize": 6,
|
|
|
|
| 41 |
"erdos_problems": 632,
|
| 42 |
"kourovka_new_problems_21": 150,
|
| 43 |
"kirby_low_dimensional_topology": 366,
|
| 44 |
+
"opengarden": 422,
|
| 45 |
+
"amr_open_problem_lists": 3342
|
| 46 |
}
|
| 47 |
}
|