Release v1.1.0: add OpenGarden, Kirby, and Kourovka
Browse filesAdds OpenGarden / Open Problem Garden (422 problems), Kirby's Problems in Low-Dimensional Topology (366 problems), and Kourovka Notebook New Problems (150 problems). Total dataset size is now 2,084 problems.
- README.md +132 -241
- categories.json +57 -12
- dataset.json +0 -0
- problems.json +0 -0
- sets.json +36 -9
- statistics.json +45 -0
README.md
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- math
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- research
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- latex
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- erdos
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size_categories:
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- 1K<n<10K
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pretty_name: UnsolvedMath
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---
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[✅ NEW: paper discussing UnsolvedMath and open mathematical problems as an AI Reasoning Benchmark is added](https://huggingface.co/datasets/ulamai/UnsolvedMath/blob/main/open-math.pdf)
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# UnsolvedMath Dataset
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A
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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 Description
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**UnsolvedMath** is a
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### Featured Collections
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### Dataset Summary
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- **Total Problems**:
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- **Categories**:
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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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###
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- **
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- Detailed backgrounds with historical context
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- Full bibliographic references for each problem
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- Difficulty classifications (L1-L3)
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- Category assignments (Number Theory, Combinatorics, Graph Theory, etc.)
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### Supported Tasks
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- Mathematical research and exploration
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- Mathematical question answering
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- LaTeX/mathematical notation processing
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- Problem classification and organization
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- Educational content generation
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- Research bibliography extraction
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- Historical mathematics analysis
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## Dataset Structure
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The dataset consists of multiple JSON files:
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1. **problems.json**
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2. **categories.json**
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3. **difficulty_levels.json**
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4. **sets.json**
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5. **dataset.json**
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### Data Fields
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Each problem contains:
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- `id` (int): Unique identifier
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- `problem_number` (string): Problem code (e.g., "EP-1", "MPP-001")
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- `title` (string): Problem title
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- `statement` (string): Complete problem statement with LaTeX notation
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- `background` (string): Historical context
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- `created_at` (string): Timestamp
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- `updated_at` (string): Timestamp
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- `published` (boolean): Publication status
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#### Categories
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- **Number Theory**
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- **Combinatorics**
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- **Graph Theory**
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- **Algebra**
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- **Algebraic Geometry**
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- **Geometry**
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- **Topology**
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- **Analysis**
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- **Partial Differential Equations**
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- **Set Theory**
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#### Difficulty Levels
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- **L1: Tractable**
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- **L2: Intermediate**
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- **L3: Advanced**
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- **L4: Expert**
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- **L5: Millennium Prize**
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##
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## Usage
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### Loading the Dataset
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```python
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import
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# Load
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problems = json.load(f)
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print(f"Total problems: {len(problems)}")
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#
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print(f"Problems: {data['metadata']['total_problems']}")
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print(f"Categories: {len(data['categories'])}")
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print(f"Sets: {len(data['sets'])}")
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```
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### Example: Filtering Erdős Problems
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```python
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import json
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with open('problems.json', 'r') as f:
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problems = json.load(f)
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# Get all Erdős problems
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erdos_problems = [
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p for p in problems
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if p['problem_number'].startswith('EP-')
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]
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print(f"Found {len(erdos_problems)} Erdős problems")
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# Get Erdős problems in Number Theory
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erdos_nt = [
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p for p in erdos_problems
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if p['category_id'] == 1 # Number Theory
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]
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print(f"Erdős problems in Number Theory: {len(erdos_nt)}")
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```
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### Example: Filtering by Difficulty
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problems = json.load(f)
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# Get all Millennium Prize problems (L5)
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p for p in problems
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if p
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]
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tractable = [
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p for p in problems
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if p['difficulty_level_id'] == 1
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]
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print(f"Millennium Prize problems: {len(millennium)}")
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print(f"Tractable problems: {len(tractable)}")
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```
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### Example:
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```python
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# Problems contain LaTeX notation in statement
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problem = problems[0]
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print(
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print(f"Statement: {problem['statement']}")
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#
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#
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# for all $S\\subseteq A$ then $N \\gg 2^{n}$."
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# Use KaTeX, MathJax, or sympy to render LaTeX
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from IPython.display import display, Markdown
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display(Markdown(problem['statement']))
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```
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### Example: Extracting Citations from Erdős Problems
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```python
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import json
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import re
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with open('problems.json', 'r') as f:
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problems = json.load(f)
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# Get all Erdős problems
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erdos = [p for p in problems if p['problem_number'].startswith('EP-')]
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# Extract citations from background
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citations = set()
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for problem in erdos:
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bg = problem.get('background', '')
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# Find citations like \\cite{Er98}
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refs = re.findall(r'\\cite\{([^}]+)\}', bg)
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citations.update(refs)
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print(f"Unique citations in Erdős problems: {len(citations)}")
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print(f"Examples: {list(citations)[:10]}")
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```
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## Data Collection and Curation
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### Sources
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This dataset was curated from:
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- Historical mathematical problem collections (Hilbert, Smale, Landau)
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- Published research papers and mathematical surveys
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- Reputable mathematical organizations (
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- Richard Guy's "Unsolved Problems in Number Theory"
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- Ben Green's additive combinatorics problem collection
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### Erdős Problems Special Notes
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The 632 Erdős problems include:
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- Complete problem statements
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- Detailed backgrounds with historical context from original sources
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- Full bibliographic references (e.g., Erdős papers from 1931-1999)
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- Cross-references between related problems
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- Citations to recent progress and partial results
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- OEIS sequence references where applicable
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- Connections to other famous problems and conjectures
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### Quality Assurance
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All problems include:
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- Accurate mathematical statements with
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- Historical context and background
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- Proper attribution and source references
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- Classification by
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## Statistics
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### By Difficulty Level
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- **L1 (Tractable)**: 662 problems (57.8%)
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- **L2 (Intermediate)**: 56 problems (4.9%)
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- **L3 (Advanced)**: 72 problems (6.3%)
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- **L4 (Expert)**: 220 problems (19.2%)
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- **L5 (Millennium)**: 136 problems (11.9%)
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### By Category
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- **Number Theory**: 497 problems (43.4%) - heavily represented in Erdős problems
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- **Graph Theory**: 214 problems (18.7%)
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- **Combinatorics**: 195 problems (17.0%)
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- **Other categories**: 240 problems (20.9%)
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### By Set
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- **Erdős Problems**: 632 problems (55.1% of total)
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- **Other historical collections**: 514 problems (44.9% of total)
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## Ethical Considerations
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- **Academic Integrity**: This dataset is for research and educational purposes
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- **Attribution**: All problems properly attributed to original sources
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- **Open Problems**: Status accuracy maintained as of
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- **Updates**: Some problems may be solved after dataset publication
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- **Citations**: Erdős problems include full bibliographic references for verification
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## Limitations
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- The dataset represents a curated selection, not an exhaustive list of all unsolved problems
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- Problem difficulty is subjective
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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 Erdős problem backgrounds contain extensive LaTeX citations that may need special handling
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## Citation
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```bibtex
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@misc{unsolvedmath2026,
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title={UnsolvedMath: A Curated Collection of Open Mathematics Problems},
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author={
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year={2026},
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howpublished={\url{https://huggingface.co/datasets/ulamai/UnsolvedMath}},
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note={Includes over 1000 open mathematical problems}
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}
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```
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For the Erdős problems specifically:
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```bibtex
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@misc{erdos-problems,
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title={Erdős Problems},
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author={T. F. Bloom},
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year={2026},
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howpublished={\url{https://www.erdosproblems.com}},
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note={Forum}
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}
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```
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### Dataset Curators
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### Licensing Information
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Under the following terms:
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- Attribution — You must give appropriate credit and indicate if changes were made
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### Updates and Maintenance
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- **Version**: 1.0.0
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- **Last Updated**: 2026-01-24
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- **Total Problems**: 1,146
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- **Erdős Problems Added**: 2026-01-24
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### Contact
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For questions, issues, or contributions
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---
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**Generated**: 2026-
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**Version**: 1.
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**Total Problems**: 1,146
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**Erdős Problems**: 632
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- math
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- research
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- latex
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size_categories:
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- 1K<n<10K
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pretty_name: UnsolvedMath
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---
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# UnsolvedMath Dataset
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A curated collection of open mathematics problems across all domains and difficulty levels.
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## Dataset Description
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**UnsolvedMath** is a comprehensive dataset of unsolved and historically significant mathematical problems, organized by domain, difficulty level, and problem set. This dataset aggregates problems from prestigious collections including:
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- Millennium Prize Problems
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- Hilbert's 23 Problems
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- Smale's 18 Problems for the 21st Century
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- DARPA's 23 Mathematical Challenges
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- Ben Green's 100 Open Problems
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- Erdős Problems
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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**: 2084
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- **Version**: 1.1.0
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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**: 12 curated collections
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- **Format**: JSON
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- **License**: CC BY 4.0
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### New in v1.1.0
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This release adds three large source collections:
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- **OpenGarden / Open Problem Garden**: 422 problems
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- **Kirby's Problems in Low-Dimensional Topology**: 366 problems
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- **Kourovka Notebook New Problems**: 150 problems
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### Supported Tasks
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- Mathematical research and exploration
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- Mathematical question answering
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- LaTeX/mathematical notation processing
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- Problem classification and organization
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- Educational content generation
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## Dataset Structure
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The dataset consists of multiple JSON files:
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1. **problems.json** - Main dataset containing all problems
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2. **categories.json** - Mathematical domain classifications
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3. **difficulty_levels.json** - 5-tier difficulty system
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4. **sets.json** - Problem set metadata (Millennium Prize, Hilbert's 23, etc.)
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5. **dataset.json** - Combined file with all data
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6. **statistics.json** - Dataset statistics
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### Data Fields
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Each problem contains:
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- `id` (int): Unique identifier
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- `title` (string): Problem title
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- `statement` (string): Complete problem statement with LaTeX notation
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- `background` (string, optional): Historical context and background
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- `category` (object): Mathematical domain
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| 87 |
+
- `id`, `name`, `display_name`, `description`, `slug`
|
| 88 |
+
- `difficulty` (object): Difficulty classification
|
| 89 |
+
- `id`, `level`, `name`, `description`, `color_class`
|
| 90 |
+
- `status` (string): "open", "solved", or "partially_solved"
|
| 91 |
+
- `source_url` (string, optional): Reference URL
|
| 92 |
+
- `sets` (array, optional): Associated problem sets
|
| 93 |
+
- `tags` (array, optional): Additional tags
|
| 94 |
+
- `year_proposed` (int, optional): Year the problem was first posed
|
| 95 |
+
- `solved_year` (int, optional): Year solved (if applicable)
|
| 96 |
+
- `solved_by` (string, optional): Solver's name
|
| 97 |
+
- `prize_amount` (int, optional): Prize money (USD)
|
| 98 |
- `created_at` (string): Timestamp
|
|
|
|
|
|
|
| 99 |
|
| 100 |
#### Categories
|
| 101 |
|
| 102 |
+
17 mathematical domains:
|
| 103 |
+
- **Number Theory**: Properties of integers, prime numbers, Diophantine equations.
|
| 104 |
+
- **Combinatorics**: Counting problems, graph theory, discrete structures.
|
| 105 |
+
- **Graph Theory**: Problems involving graphs, networks, and their properties.
|
| 106 |
+
- **Algebra**: Group theory, ring theory, field theory, and algebraic structures.
|
| 107 |
+
- **Algebraic Geometry**: Geometric objects defined by polynomial equations.
|
| 108 |
+
- **Geometry**: Euclidean and non-Euclidean geometry, geometric structures.
|
| 109 |
+
- **Topology**: Properties preserved under continuous deformations.
|
| 110 |
+
- **Analysis**: Limits, continuity, calculus, and function theory.
|
| 111 |
+
- **Partial Differential Equations**: PDEs and their applications in physics and geometry.
|
| 112 |
+
- **Set Theory**: Foundations of mathematics, infinite sets, and cardinality.
|
| 113 |
+
- **Dynamical Systems**: Problems about long-term behavior of deterministic systems, Hamiltonian dynamics, and periodic orbits.
|
| 114 |
+
- **Computer Science**: Computational complexity, algorithms, and theoretical CS.
|
| 115 |
+
- **Mathematical Physics**: Problems at the intersection of mathematics and physics.
|
| 116 |
+
- **Group Theory**: Problems about groups, group actions, representations, and related algebraic structures.
|
| 117 |
+
- **Logic**: Problems in mathematical logic, model theory, proof theory, and finite model theory.
|
| 118 |
+
- **Probability**: Problems involving probability theory, stochastic processes, and random structures.
|
| 119 |
+
- **Miscellaneous**: Problems whose source classification does not fit the main mathematical categories.
|
| 120 |
|
| 121 |
#### Difficulty Levels
|
| 122 |
|
| 123 |
+
- **L1: Tractable**: Problems that may be within reach with current techniques. Reserved for future additions.
|
| 124 |
+
- **L2: Intermediate**: Challenging problems requiring solid mathematical background. Reserved for future additions.
|
| 125 |
+
- **L3: Advanced**: Difficult problems requiring specialized knowledge and sophisticated techniques.
|
| 126 |
+
- **L4: Expert**: Very challenging problems at the frontier of mathematical research.
|
| 127 |
+
- **L5: Millennium Prize**: Millennium Prize Problems and problems of equivalent difficulty.
|
| 128 |
+
|
| 129 |
+
## Dataset Statistics
|
| 130 |
+
|
| 131 |
+
### Problems by Difficulty
|
| 132 |
+
|
| 133 |
+
- L1: Tractable: 916
|
| 134 |
+
- L3: Advanced: 496
|
| 135 |
+
- L2: Intermediate: 316
|
| 136 |
+
- L4: Expert: 220
|
| 137 |
+
- L5: Millennium Prize: 136
|
| 138 |
+
|
| 139 |
+
### Problems by Category
|
| 140 |
+
|
| 141 |
+
- Number Theory: 546
|
| 142 |
+
- Graph Theory: 441
|
| 143 |
+
- Topology: 424
|
| 144 |
+
- Combinatorics: 230
|
| 145 |
+
- Group Theory: 155
|
| 146 |
+
- Geometry: 117
|
| 147 |
+
- Algebra: 89
|
| 148 |
+
- Computer Science: 24
|
| 149 |
+
- Set Theory: 16
|
| 150 |
+
- Logic: 10
|
| 151 |
+
- Algebraic Geometry: 9
|
| 152 |
+
- Partial Differential Equations: 8
|
| 153 |
+
- Mathematical Physics: 6
|
| 154 |
+
- Analysis: 5
|
| 155 |
+
- Dynamical Systems: 2
|
| 156 |
+
- Probability: 1
|
| 157 |
+
- Miscellaneous: 1
|
| 158 |
+
|
| 159 |
+
### Problems by Status
|
| 160 |
+
|
| 161 |
+
- Open: 2075
|
| 162 |
+
- Solved: 9
|
| 163 |
+
- Partially Solved: 0
|
| 164 |
|
| 165 |
## Usage
|
| 166 |
|
| 167 |
### Loading the Dataset
|
| 168 |
|
| 169 |
```python
|
| 170 |
+
from datasets import load_dataset
|
| 171 |
|
| 172 |
+
# Load the full dataset
|
| 173 |
+
dataset = load_dataset("ulamai/UnsolvedMath", data_files="dataset.json")
|
|
|
|
|
|
|
|
|
|
| 174 |
|
| 175 |
+
# Or load individual files
|
| 176 |
+
problems = load_dataset("ulamai/UnsolvedMath", data_files="problems.json")
|
| 177 |
+
categories = load_dataset("ulamai/UnsolvedMath", data_files="categories.json")
|
|
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|
| 178 |
```
|
| 179 |
|
| 180 |
### Example: Filtering by Difficulty
|
|
|
|
| 186 |
problems = json.load(f)
|
| 187 |
|
| 188 |
# Get all Millennium Prize problems (L5)
|
| 189 |
+
millennium_problems = [
|
| 190 |
p for p in problems
|
| 191 |
+
if p.get('difficulty', {}).get('level') == 5
|
| 192 |
]
|
| 193 |
|
| 194 |
+
print(f"Found {len(millennium_problems)} Millennium Prize problems")
|
|
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|
| 195 |
```
|
| 196 |
|
| 197 |
+
### Example: LaTeX Rendering
|
| 198 |
|
| 199 |
```python
|
| 200 |
+
# Problems contain LaTeX notation in the statement field
|
| 201 |
problem = problems[0]
|
| 202 |
+
print(problem['statement'])
|
|
|
|
| 203 |
|
| 204 |
+
# Use a LaTeX renderer like matplotlib or sympy to display
|
| 205 |
+
from sympy import latex, sympify
|
| 206 |
+
# ... render LaTeX content
|
|
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|
|
| 207 |
```
|
| 208 |
|
| 209 |
## Data Collection and Curation
|
| 210 |
|
|
|
|
|
|
|
| 211 |
This dataset was curated from:
|
| 212 |
+
- Official Millennium Prize Problems documentation
|
| 213 |
+
- Historical mathematical problem collections
|
|
|
|
| 214 |
- Published research papers and mathematical surveys
|
| 215 |
+
- Reputable mathematical organizations (Clay Mathematics Institute, AMS, etc.)
|
|
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|
|
| 216 |
|
| 217 |
All problems include:
|
| 218 |
+
- Accurate mathematical statements with LaTeX notation
|
| 219 |
+
- Historical context and background
|
| 220 |
- Proper attribution and source references
|
| 221 |
+
- Classification by domain and difficulty
|
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|
| 222 |
|
| 223 |
## Ethical Considerations
|
| 224 |
|
| 225 |
- **Academic Integrity**: This dataset is for research and educational purposes
|
| 226 |
+
- **Attribution**: All problems are properly attributed to their original sources
|
| 227 |
+
- **Open Problems**: Status accuracy maintained to the best of our knowledge as of the dataset creation date
|
| 228 |
- **Updates**: Some problems may be solved after dataset publication
|
|
|
|
| 229 |
|
| 230 |
## Limitations
|
| 231 |
|
| 232 |
- The dataset represents a curated selection, not an exhaustive list of all unsolved problems
|
| 233 |
+
- Problem difficulty is subjective and based on expert consensus
|
| 234 |
- LaTeX notation may require preprocessing for some applications
|
| 235 |
- Status (open/solved) should be verified for time-sensitive applications
|
|
|
|
| 236 |
|
| 237 |
## Citation
|
| 238 |
|
|
|
|
| 241 |
```bibtex
|
| 242 |
@misc{unsolvedmath2026,
|
| 243 |
title={UnsolvedMath: A Curated Collection of Open Mathematics Problems},
|
| 244 |
+
author={UnsolvedMath Contributors},
|
| 245 |
year={2026},
|
| 246 |
howpublished={\url{https://huggingface.co/datasets/ulamai/UnsolvedMath}},
|
|
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|
|
|
| 247 |
}
|
| 248 |
```
|
| 249 |
|
|
|
|
| 251 |
|
| 252 |
### Dataset Curators
|
| 253 |
|
| 254 |
+
UnsolvedMath project contributors
|
| 255 |
|
| 256 |
### Licensing Information
|
| 257 |
|
|
|
|
| 264 |
Under the following terms:
|
| 265 |
- Attribution — You must give appropriate credit and indicate if changes were made
|
| 266 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 267 |
### Contact
|
| 268 |
|
| 269 |
+
For questions, issues, or contributions:
|
| 270 |
+
- Website: [unsolvedmath.com](https://unsolvedmath.com)
|
| 271 |
+
- Dataset: [huggingface.co/datasets/ulamai/UnsolvedMath](https://huggingface.co/datasets/ulamai/UnsolvedMath)
|
| 272 |
|
| 273 |
---
|
| 274 |
|
| 275 |
+
**Generated**: 2026-05-13T14:45:21.516Z
|
| 276 |
+
**Version**: 1.1.0
|
|
|
|
|
|
categories.json
CHANGED
|
@@ -6,7 +6,7 @@
|
|
| 6 |
"description": "Properties of integers, prime numbers, Diophantine equations.",
|
| 7 |
"slug": "number-theory",
|
| 8 |
"order_index": 1,
|
| 9 |
-
"created_at": "
|
| 10 |
},
|
| 11 |
{
|
| 12 |
"id": 2,
|
|
@@ -15,7 +15,7 @@
|
|
| 15 |
"description": "Counting problems, graph theory, discrete structures.",
|
| 16 |
"slug": "combinatorics",
|
| 17 |
"order_index": 2,
|
| 18 |
-
"created_at": "
|
| 19 |
},
|
| 20 |
{
|
| 21 |
"id": 3,
|
|
@@ -24,7 +24,7 @@
|
|
| 24 |
"description": "Problems involving graphs, networks, and their properties.",
|
| 25 |
"slug": "graph-theory",
|
| 26 |
"order_index": 3,
|
| 27 |
-
"created_at": "
|
| 28 |
},
|
| 29 |
{
|
| 30 |
"id": 4,
|
|
@@ -33,7 +33,7 @@
|
|
| 33 |
"description": "Group theory, ring theory, field theory, and algebraic structures.",
|
| 34 |
"slug": "algebra",
|
| 35 |
"order_index": 4,
|
| 36 |
-
"created_at": "
|
| 37 |
},
|
| 38 |
{
|
| 39 |
"id": 5,
|
|
@@ -42,7 +42,7 @@
|
|
| 42 |
"description": "Geometric objects defined by polynomial equations.",
|
| 43 |
"slug": "algebraic-geometry",
|
| 44 |
"order_index": 5,
|
| 45 |
-
"created_at": "
|
| 46 |
},
|
| 47 |
{
|
| 48 |
"id": 6,
|
|
@@ -51,7 +51,7 @@
|
|
| 51 |
"description": "Euclidean and non-Euclidean geometry, geometric structures.",
|
| 52 |
"slug": "geometry",
|
| 53 |
"order_index": 6,
|
| 54 |
-
"created_at": "
|
| 55 |
},
|
| 56 |
{
|
| 57 |
"id": 7,
|
|
@@ -60,7 +60,7 @@
|
|
| 60 |
"description": "Properties preserved under continuous deformations.",
|
| 61 |
"slug": "topology",
|
| 62 |
"order_index": 7,
|
| 63 |
-
"created_at": "
|
| 64 |
},
|
| 65 |
{
|
| 66 |
"id": 8,
|
|
@@ -69,7 +69,7 @@
|
|
| 69 |
"description": "Limits, continuity, calculus, and function theory.",
|
| 70 |
"slug": "analysis",
|
| 71 |
"order_index": 8,
|
| 72 |
-
"created_at": "
|
| 73 |
},
|
| 74 |
{
|
| 75 |
"id": 9,
|
|
@@ -78,7 +78,7 @@
|
|
| 78 |
"description": "PDEs and their applications in physics and geometry.",
|
| 79 |
"slug": "pde",
|
| 80 |
"order_index": 9,
|
| 81 |
-
"created_at": "
|
| 82 |
},
|
| 83 |
{
|
| 84 |
"id": 10,
|
|
@@ -87,7 +87,16 @@
|
|
| 87 |
"description": "Foundations of mathematics, infinite sets, and cardinality.",
|
| 88 |
"slug": "set-theory",
|
| 89 |
"order_index": 10,
|
| 90 |
-
"created_at": "
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 91 |
},
|
| 92 |
{
|
| 93 |
"id": 15,
|
|
@@ -96,7 +105,7 @@
|
|
| 96 |
"description": "Computational complexity, algorithms, and theoretical CS.",
|
| 97 |
"slug": "computer-science",
|
| 98 |
"order_index": 15,
|
| 99 |
-
"created_at": "
|
| 100 |
},
|
| 101 |
{
|
| 102 |
"id": 16,
|
|
@@ -105,6 +114,42 @@
|
|
| 105 |
"description": "Problems at the intersection of mathematics and physics.",
|
| 106 |
"slug": "physics",
|
| 107 |
"order_index": 16,
|
| 108 |
-
"created_at": "
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
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|
|
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|
|
|
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|
|
|
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|
|
|
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|
|
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|
|
|
|
|
|
|
|
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|
|
|
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|
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|
|
|
|
|
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|
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|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 109 |
}
|
| 110 |
]
|
|
|
|
| 6 |
"description": "Properties of integers, prime numbers, Diophantine equations.",
|
| 7 |
"slug": "number-theory",
|
| 8 |
"order_index": 1,
|
| 9 |
+
"created_at": "2026-05-13T14:45:21.186Z"
|
| 10 |
},
|
| 11 |
{
|
| 12 |
"id": 2,
|
|
|
|
| 15 |
"description": "Counting problems, graph theory, discrete structures.",
|
| 16 |
"slug": "combinatorics",
|
| 17 |
"order_index": 2,
|
| 18 |
+
"created_at": "2026-05-13T14:45:21.187Z"
|
| 19 |
},
|
| 20 |
{
|
| 21 |
"id": 3,
|
|
|
|
| 24 |
"description": "Problems involving graphs, networks, and their properties.",
|
| 25 |
"slug": "graph-theory",
|
| 26 |
"order_index": 3,
|
| 27 |
+
"created_at": "2026-05-13T14:45:21.187Z"
|
| 28 |
},
|
| 29 |
{
|
| 30 |
"id": 4,
|
|
|
|
| 33 |
"description": "Group theory, ring theory, field theory, and algebraic structures.",
|
| 34 |
"slug": "algebra",
|
| 35 |
"order_index": 4,
|
| 36 |
+
"created_at": "2026-05-13T14:45:21.187Z"
|
| 37 |
},
|
| 38 |
{
|
| 39 |
"id": 5,
|
|
|
|
| 42 |
"description": "Geometric objects defined by polynomial equations.",
|
| 43 |
"slug": "algebraic-geometry",
|
| 44 |
"order_index": 5,
|
| 45 |
+
"created_at": "2026-05-13T14:45:21.187Z"
|
| 46 |
},
|
| 47 |
{
|
| 48 |
"id": 6,
|
|
|
|
| 51 |
"description": "Euclidean and non-Euclidean geometry, geometric structures.",
|
| 52 |
"slug": "geometry",
|
| 53 |
"order_index": 6,
|
| 54 |
+
"created_at": "2026-05-13T14:45:21.187Z"
|
| 55 |
},
|
| 56 |
{
|
| 57 |
"id": 7,
|
|
|
|
| 60 |
"description": "Properties preserved under continuous deformations.",
|
| 61 |
"slug": "topology",
|
| 62 |
"order_index": 7,
|
| 63 |
+
"created_at": "2026-05-13T14:45:21.187Z"
|
| 64 |
},
|
| 65 |
{
|
| 66 |
"id": 8,
|
|
|
|
| 69 |
"description": "Limits, continuity, calculus, and function theory.",
|
| 70 |
"slug": "analysis",
|
| 71 |
"order_index": 8,
|
| 72 |
+
"created_at": "2026-05-13T14:45:21.187Z"
|
| 73 |
},
|
| 74 |
{
|
| 75 |
"id": 9,
|
|
|
|
| 78 |
"description": "PDEs and their applications in physics and geometry.",
|
| 79 |
"slug": "pde",
|
| 80 |
"order_index": 9,
|
| 81 |
+
"created_at": "2026-05-13T14:45:21.187Z"
|
| 82 |
},
|
| 83 |
{
|
| 84 |
"id": 10,
|
|
|
|
| 87 |
"description": "Foundations of mathematics, infinite sets, and cardinality.",
|
| 88 |
"slug": "set-theory",
|
| 89 |
"order_index": 10,
|
| 90 |
+
"created_at": "2026-05-13T14:45:21.187Z"
|
| 91 |
+
},
|
| 92 |
+
{
|
| 93 |
+
"id": 11,
|
| 94 |
+
"name": "dynamical_systems",
|
| 95 |
+
"display_name": "Dynamical Systems",
|
| 96 |
+
"description": "Problems about long-term behavior of deterministic systems, Hamiltonian dynamics, and periodic orbits.",
|
| 97 |
+
"slug": "dynamical-systems",
|
| 98 |
+
"order_index": 11,
|
| 99 |
+
"created_at": "2026-05-13T14:45:21.187Z"
|
| 100 |
},
|
| 101 |
{
|
| 102 |
"id": 15,
|
|
|
|
| 105 |
"description": "Computational complexity, algorithms, and theoretical CS.",
|
| 106 |
"slug": "computer-science",
|
| 107 |
"order_index": 15,
|
| 108 |
+
"created_at": "2026-05-13T14:45:21.187Z"
|
| 109 |
},
|
| 110 |
{
|
| 111 |
"id": 16,
|
|
|
|
| 114 |
"description": "Problems at the intersection of mathematics and physics.",
|
| 115 |
"slug": "physics",
|
| 116 |
"order_index": 16,
|
| 117 |
+
"created_at": "2026-05-13T14:45:21.187Z"
|
| 118 |
+
},
|
| 119 |
+
{
|
| 120 |
+
"id": 17,
|
| 121 |
+
"name": "group_theory",
|
| 122 |
+
"display_name": "Group Theory",
|
| 123 |
+
"description": "Problems about groups, group actions, representations, and related algebraic structures.",
|
| 124 |
+
"slug": "group-theory",
|
| 125 |
+
"order_index": 17,
|
| 126 |
+
"created_at": "2026-05-13T14:45:21.187Z"
|
| 127 |
+
},
|
| 128 |
+
{
|
| 129 |
+
"id": 18,
|
| 130 |
+
"name": "logic",
|
| 131 |
+
"display_name": "Logic",
|
| 132 |
+
"description": "Problems in mathematical logic, model theory, proof theory, and finite model theory.",
|
| 133 |
+
"slug": "logic",
|
| 134 |
+
"order_index": 18,
|
| 135 |
+
"created_at": "2026-05-13T14:45:21.187Z"
|
| 136 |
+
},
|
| 137 |
+
{
|
| 138 |
+
"id": 19,
|
| 139 |
+
"name": "probability",
|
| 140 |
+
"display_name": "Probability",
|
| 141 |
+
"description": "Problems involving probability theory, stochastic processes, and random structures.",
|
| 142 |
+
"slug": "probability",
|
| 143 |
+
"order_index": 19,
|
| 144 |
+
"created_at": "2026-05-13T14:45:21.187Z"
|
| 145 |
+
},
|
| 146 |
+
{
|
| 147 |
+
"id": 20,
|
| 148 |
+
"name": "miscellaneous",
|
| 149 |
+
"display_name": "Miscellaneous",
|
| 150 |
+
"description": "Problems whose source classification does not fit the main mathematical categories.",
|
| 151 |
+
"slug": "miscellaneous",
|
| 152 |
+
"order_index": 20,
|
| 153 |
+
"created_at": "2026-05-13T14:45:21.187Z"
|
| 154 |
}
|
| 155 |
]
|
dataset.json
CHANGED
|
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|
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|
problems.json
CHANGED
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|
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|
sets.json
CHANGED
|
@@ -6,7 +6,7 @@
|
|
| 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": "
|
| 10 |
},
|
| 11 |
{
|
| 12 |
"id": 2,
|
|
@@ -15,7 +15,7 @@
|
|
| 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": "
|
| 19 |
},
|
| 20 |
{
|
| 21 |
"id": 3,
|
|
@@ -24,7 +24,7 @@
|
|
| 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": "
|
| 28 |
},
|
| 29 |
{
|
| 30 |
"id": 4,
|
|
@@ -33,7 +33,7 @@
|
|
| 33 |
"description": "Mathematical challenges identified by DARPA to drive fundamental research in mathematics.",
|
| 34 |
"slug": "darpa-challenges",
|
| 35 |
"order_index": 4,
|
| 36 |
-
"created_at": "
|
| 37 |
},
|
| 38 |
{
|
| 39 |
"id": 5,
|
|
@@ -42,7 +42,7 @@
|
|
| 42 |
"description": "Steve Smale's list of mathematical problems for the 21st century.",
|
| 43 |
"slug": "smale-problems",
|
| 44 |
"order_index": 5,
|
| 45 |
-
"created_at": "
|
| 46 |
},
|
| 47 |
{
|
| 48 |
"id": 6,
|
|
@@ -51,7 +51,7 @@
|
|
| 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": "
|
| 55 |
},
|
| 56 |
{
|
| 57 |
"id": 7,
|
|
@@ -60,7 +60,7 @@
|
|
| 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": "
|
| 64 |
},
|
| 65 |
{
|
| 66 |
"id": 8,
|
|
@@ -69,7 +69,7 @@
|
|
| 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": "
|
| 73 |
},
|
| 74 |
{
|
| 75 |
"id": 9,
|
|
@@ -78,6 +78,33 @@
|
|
| 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": "
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 82 |
}
|
| 83 |
]
|
|
|
|
| 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": "2026-05-13T14:45:21.187Z"
|
| 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": "2026-05-13T14:45:21.187Z"
|
| 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": "2026-05-13T14:45:21.187Z"
|
| 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": "2026-05-13T14:45:21.187Z"
|
| 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": "2026-05-13T14:45:21.187Z"
|
| 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": "2026-05-13T14:45:21.187Z"
|
| 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": "2026-05-13T14:45:21.187Z"
|
| 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": "2026-05-13T14:45:21.187Z"
|
| 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": "2026-05-13T14:45:21.187Z"
|
| 82 |
+
},
|
| 83 |
+
{
|
| 84 |
+
"id": 10,
|
| 85 |
+
"name": "kourovka_new_problems_21",
|
| 86 |
+
"display_name": "Kourovka Notebook - New Problems, Issue 21",
|
| 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": "2026-05-13T14:45:21.187Z"
|
| 91 |
+
},
|
| 92 |
+
{
|
| 93 |
+
"id": 11,
|
| 94 |
+
"name": "kirby_low_dimensional_topology",
|
| 95 |
+
"display_name": "Kirby's Problems in Low-Dimensional Topology",
|
| 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": "2026-05-13T14:45:21.187Z"
|
| 100 |
+
},
|
| 101 |
+
{
|
| 102 |
+
"id": 12,
|
| 103 |
+
"name": "opengarden",
|
| 104 |
+
"display_name": "OpenGarden",
|
| 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": "2026-05-13T14:45:21.187Z"
|
| 109 |
}
|
| 110 |
]
|
statistics.json
ADDED
|
@@ -0,0 +1,45 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"total_problems": 2084,
|
| 3 |
+
"problems_by_difficulty": {
|
| 4 |
+
"L5: Millennium Prize": 136,
|
| 5 |
+
"L3: Advanced": 496,
|
| 6 |
+
"L4: Expert": 220,
|
| 7 |
+
"L2: Intermediate": 316,
|
| 8 |
+
"L1: Tractable": 916
|
| 9 |
+
},
|
| 10 |
+
"problems_by_category": {
|
| 11 |
+
"Computer Science": 24,
|
| 12 |
+
"Number Theory": 546,
|
| 13 |
+
"Mathematical Physics": 6,
|
| 14 |
+
"Partial Differential Equations": 8,
|
| 15 |
+
"Algebraic Geometry": 9,
|
| 16 |
+
"Combinatorics": 230,
|
| 17 |
+
"Graph Theory": 441,
|
| 18 |
+
"Topology": 424,
|
| 19 |
+
"Geometry": 117,
|
| 20 |
+
"Algebra": 89,
|
| 21 |
+
"Set Theory": 16,
|
| 22 |
+
"Dynamical Systems": 2,
|
| 23 |
+
"Group Theory": 155,
|
| 24 |
+
"Analysis": 5,
|
| 25 |
+
"Logic": 10,
|
| 26 |
+
"Probability": 1,
|
| 27 |
+
"Miscellaneous": 1
|
| 28 |
+
},
|
| 29 |
+
"problems_by_status": {
|
| 30 |
+
"open": 2075,
|
| 31 |
+
"solved": 9
|
| 32 |
+
},
|
| 33 |
+
"problems_by_set": {
|
| 34 |
+
"millennium_prize": 6,
|
| 35 |
+
"hilbert_problems": 11,
|
| 36 |
+
"landau_problems": 1,
|
| 37 |
+
"smale_problems": 8,
|
| 38 |
+
"darpa_challenges": 17,
|
| 39 |
+
"green_problems": 85,
|
| 40 |
+
"erdos_problems": 632,
|
| 41 |
+
"kourovka_new_problems_21": 150,
|
| 42 |
+
"kirby_low_dimensional_topology": 366,
|
| 43 |
+
"opengarden": 422
|
| 44 |
+
}
|
| 45 |
+
}
|