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Release v1.1.0: add OpenGarden, Kirby, and Kourovka

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Adds 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.

Files changed (6) hide show
  1. README.md +132 -241
  2. categories.json +57 -12
  3. dataset.json +0 -0
  4. problems.json +0 -0
  5. sets.json +36 -9
  6. statistics.json +45 -0
README.md CHANGED
@@ -11,66 +11,54 @@ tags:
11
  - math
12
  - research
13
  - latex
14
- - erdos
15
- - number-theory
16
- - combinatorics
17
  size_categories:
18
  - 1K<n<10K
19
  pretty_name: UnsolvedMath
20
  ---
21
 
22
- [✅ 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)
23
-
24
  # UnsolvedMath Dataset
25
 
26
- A comprehensive curated collection of **1,146 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 https://unsolvedmath.com
27
 
28
- Paper "[Open Mathematical Problems as an AI Reasoning Benchmark](https://huggingface.co/datasets/ulamai/UnsolvedMath/blob/main/open-math.pdf)"
29
  ## Dataset Description
30
 
31
- **UnsolvedMath** is a meticulously curated dataset of unsolved and historically significant mathematical problems, organized by domain, difficulty level, and problem set. This dataset aggregates problems from the most prestigious collections in mathematics, with a particular focus on Paul Erdős's extensive problem collection.
32
-
33
- ### Featured Collections
34
 
35
- - **Erdős Problems** (632 problems) - Extensive collection from Paul Erdős, one of the most prolific mathematicians of the 20th century
36
- - **Millennium Prize Problems** - Clay Mathematics Institute's seven $1M problems
37
- - **Hilbert's 23 Problems** - David Hilbert's foundational problems from 1900
38
- - **Smale's Problems** - Steve Smale's 18 problems for the 21st century
39
- - **DARPA's 23 Mathematical Challenges** - Fundamental research challenges
40
- - **Ben Green's 100 Open Problems** - Problems in additive combinatorics
41
- - **Hardy-Littlewood Conjectures** - Foundational problems on primes and partitions
42
- - **Landau's Problems** - Four classic problems on prime numbers
43
- - **Richard Guy - Prime Numbers** - Problems from "Unsolved Problems in Number Theory"
44
 
45
  ### Dataset Summary
46
 
47
- - **Total Problems**: 1,146
48
- - **Erdős Problems**: 632 (with full citations and references)
49
- - **Categories**: 12 mathematical domains
50
  - **Difficulty Levels**: 5 (L1: Tractable → L5: Millennium Prize)
51
- - **Problem Sets**: 9 curated collections
52
- - **Format**: JSON with LaTeX mathematical notation
53
  - **License**: CC BY 4.0
54
 
55
- ### What's New
 
 
56
 
57
- This dataset includes the most comprehensive collection of Erdős problems available in structured format:
58
- - **632 Erdős problems** (EP-1 through EP-1135) from the Erdos Problems website
59
- - Complete problem statements with LaTeX mathematical notation
60
- - Detailed backgrounds with historical context
61
- - Full bibliographic references for each problem
62
- - Difficulty classifications (L1-L3)
63
- - Category assignments (Number Theory, Combinatorics, Graph Theory, etc.)
64
 
65
  ### Supported Tasks
66
 
67
  - Mathematical research and exploration
68
- - Mathematical question answering systems
69
  - LaTeX/mathematical notation processing
70
  - Problem classification and organization
71
  - Educational content generation
72
- - Research bibliography extraction
73
- - Historical mathematics analysis
74
 
75
  ## Dataset Structure
76
 
@@ -78,11 +66,12 @@ This dataset includes the most comprehensive collection of Erdős problems avail
78
 
79
  The dataset consists of multiple JSON files:
80
 
81
- 1. **problems.json** (1.4 MB) - Main dataset containing all 1,146 problems
82
- 2. **categories.json** (3.0 KB) - 12 mathematical domain classifications
83
- 3. **difficulty_levels.json** (1.1 KB) - 5-tier difficulty system
84
- 4. **sets.json** (3.1 KB) - Problem set metadata
85
- 5. **dataset.json** (1.5 MB) - Combined file with all data and metadata
 
86
 
87
  ### Data Fields
88
 
@@ -91,103 +80,101 @@ The dataset consists of multiple JSON files:
91
  Each problem contains:
92
 
93
  - `id` (int): Unique identifier
94
- - `problem_number` (string): Problem code (e.g., "EP-1", "MPP-001")
95
  - `title` (string): Problem title
96
  - `statement` (string): Complete problem statement with LaTeX notation
97
- - `background` (string): Historical context, references, and related work
98
- - `difficulty_level_id` (int): Difficulty level (1-5)
99
- - `status` (string): "open" or "solved"
100
- - `category_id` (int): Mathematical domain identifier
101
- - `set_id` (int, optional): Problem set identifier
102
- - `proposed_by` (string, optional): Person who proposed the problem
103
- - `proposed_year` (int, optional): Year the problem was first posed
104
- - `view_count` (int): Number of views
105
- - `favorite_count` (int): Number of favorites
 
 
 
 
106
  - `created_at` (string): Timestamp
107
- - `updated_at` (string): Timestamp
108
- - `published` (boolean): Publication status
109
 
110
  #### Categories
111
 
112
- 12 mathematical domains:
113
- - **Number Theory** - Properties of integers, primes, Diophantine equations
114
- - **Combinatorics** - Counting, arrangements, combinatorial structures
115
- - **Graph Theory** - Networks, graphs, and their properties
116
- - **Algebra** - Algebraic structures and equations
117
- - **Algebraic Geometry** - Geometric objects defined by polynomials
118
- - **Geometry** - Euclidean and non-Euclidean geometry
119
- - **Topology** - Properties preserved under continuous deformations
120
- - **Analysis** - Limits, continuity, calculus, function theory
121
- - **Partial Differential Equations** - PDEs and applications
122
- - **Set Theory** - Foundations, infinite sets, cardinality
123
- - **Computer Science** - Computational complexity, algorithms
124
- - **Mathematical Physics** - Mathematics-physics intersection
 
 
 
 
 
125
 
126
  #### Difficulty Levels
127
 
128
- - **L1: Tractable** - Problems potentially within reach with current techniques
129
- - **L2: Intermediate** - Challenging problems requiring solid mathematical background
130
- - **L3: Advanced** - Difficult problems requiring specialized knowledge
131
- - **L4: Expert** - Very challenging problems at the frontier of research
132
- - **L5: Millennium Prize** - Millennium Prize Problems and equivalent difficulty
133
-
134
- #### Problem Sets
135
-
136
- - Millennium Prize Problems (7 problems)
137
- - Hilbert's 23 Problems
138
- - Smale's Problems (18 problems)
139
- - DARPA's 23 Mathematical Challenges
140
- - Ben Green's 100 Open Problems
141
- - **Erdős Problems (632 problems)**
142
- - Hardy-Littlewood Conjectures
143
- - Landau's Problems (4 problems)
144
- - Richard Guy - A: Prime Numbers
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
145
 
146
  ## Usage
147
 
148
  ### Loading the Dataset
149
 
150
  ```python
151
- import json
152
 
153
- # Load all problems
154
- with open('problems.json', 'r', encoding='utf-8') as f:
155
- problems = json.load(f)
156
-
157
- print(f"Total problems: {len(problems)}")
158
 
159
- # Load the complete dataset
160
- with open('dataset.json', 'r', encoding='utf-8') as f:
161
- data = json.load(f)
162
-
163
- print(f"Problems: {data['metadata']['total_problems']}")
164
- print(f"Categories: {len(data['categories'])}")
165
- print(f"Sets: {len(data['sets'])}")
166
- ```
167
-
168
- ### Example: Filtering Erdős Problems
169
-
170
- ```python
171
- import json
172
-
173
- with open('problems.json', 'r') as f:
174
- problems = json.load(f)
175
-
176
- # Get all Erdős problems
177
- erdos_problems = [
178
- p for p in problems
179
- if p['problem_number'].startswith('EP-')
180
- ]
181
-
182
- print(f"Found {len(erdos_problems)} Erdős problems")
183
-
184
- # Get Erdős problems in Number Theory
185
- erdos_nt = [
186
- p for p in erdos_problems
187
- if p['category_id'] == 1 # Number Theory
188
- ]
189
-
190
- print(f"Erdős problems in Number Theory: {len(erdos_nt)}")
191
  ```
192
 
193
  ### Example: Filtering by Difficulty
@@ -199,129 +186,53 @@ with open('problems.json', 'r') as f:
199
  problems = json.load(f)
200
 
201
  # Get all Millennium Prize problems (L5)
202
- millennium = [
203
  p for p in problems
204
- if p['difficulty_level_id'] == 5
205
  ]
206
 
207
- # Get tractable problems (L1)
208
- tractable = [
209
- p for p in problems
210
- if p['difficulty_level_id'] == 1
211
- ]
212
-
213
- print(f"Millennium Prize problems: {len(millennium)}")
214
- print(f"Tractable problems: {len(tractable)}")
215
  ```
216
 
217
- ### Example: Working with LaTeX
218
 
219
  ```python
220
- # Problems contain LaTeX notation in statement and background fields
221
  problem = problems[0]
222
- print(f"Title: {problem['title']}")
223
- print(f"Statement: {problem['statement']}")
224
 
225
- # Example statement with LaTeX:
226
- # "If $A\\subseteq \\{1,\\ldots,N\\}$ with $\\lvert A\\rvert=n$
227
- # is such that the subset sums $\\sum_{a\\in S}a$ are distinct
228
- # for all $S\\subseteq A$ then $N \\gg 2^{n}$."
229
-
230
- # Use KaTeX, MathJax, or sympy to render LaTeX
231
- from IPython.display import display, Markdown
232
- display(Markdown(problem['statement']))
233
- ```
234
-
235
- ### Example: Extracting Citations from Erdős Problems
236
-
237
- ```python
238
- import json
239
- import re
240
-
241
- with open('problems.json', 'r') as f:
242
- problems = json.load(f)
243
-
244
- # Get all Erdős problems
245
- erdos = [p for p in problems if p['problem_number'].startswith('EP-')]
246
-
247
- # Extract citations from background
248
- citations = set()
249
- for problem in erdos:
250
- bg = problem.get('background', '')
251
- # Find citations like \\cite{Er98}
252
- refs = re.findall(r'\\cite\{([^}]+)\}', bg)
253
- citations.update(refs)
254
-
255
- print(f"Unique citations in Erdős problems: {len(citations)}")
256
- print(f"Examples: {list(citations)[:10]}")
257
  ```
258
 
259
  ## Data Collection and Curation
260
 
261
- ### Sources
262
-
263
  This dataset was curated from:
264
- - Erdős problems website by Thomas Bloom (erdosproblems.com)
265
- - Clay Mathematics Institute - Official Millennium Prize documentation
266
- - Historical mathematical problem collections (Hilbert, Smale, Landau)
267
  - Published research papers and mathematical surveys
268
- - Reputable mathematical organizations (AMS, IMU, etc.)
269
- - Richard Guy's "Unsolved Problems in Number Theory"
270
- - Ben Green's additive combinatorics problem collection
271
-
272
- ### Erdős Problems Special Notes
273
-
274
- The 632 Erdős problems include:
275
- - Complete problem statements
276
- - Detailed backgrounds with historical context from original sources
277
- - Full bibliographic references (e.g., Erdős papers from 1931-1999)
278
- - Cross-references between related problems
279
- - Citations to recent progress and partial results
280
- - OEIS sequence references where applicable
281
- - Connections to other famous problems and conjectures
282
-
283
- ### Quality Assurance
284
 
285
  All problems include:
286
- - Accurate mathematical statements with proper LaTeX notation (mostly, there might be some smaller corrections needed)
287
- - Historical context and background information
288
  - Proper attribution and source references
289
- - Classification by mathematical domain and difficulty
290
-
291
- ## Statistics
292
-
293
- ### By Difficulty Level
294
- - **L1 (Tractable)**: 662 problems (57.8%)
295
- - **L2 (Intermediate)**: 56 problems (4.9%)
296
- - **L3 (Advanced)**: 72 problems (6.3%)
297
- - **L4 (Expert)**: 220 problems (19.2%)
298
- - **L5 (Millennium)**: 136 problems (11.9%)
299
-
300
- ### By Category
301
- - **Number Theory**: 497 problems (43.4%) - heavily represented in Erdős problems
302
- - **Graph Theory**: 214 problems (18.7%)
303
- - **Combinatorics**: 195 problems (17.0%)
304
- - **Other categories**: 240 problems (20.9%)
305
-
306
- ### By Set
307
- - **Erdős Problems**: 632 problems (55.1% of total)
308
- - **Other historical collections**: 514 problems (44.9% of total)
309
 
310
  ## Ethical Considerations
311
 
312
  - **Academic Integrity**: This dataset is for research and educational purposes
313
- - **Attribution**: All problems properly attributed to original sources
314
- - **Open Problems**: Status accuracy maintained as of January 2026
315
  - **Updates**: Some problems may be solved after dataset publication
316
- - **Citations**: Erdős problems include full bibliographic references for verification
317
 
318
  ## Limitations
319
 
320
  - The dataset represents a curated selection, not an exhaustive list of all unsolved problems
321
- - Problem difficulty is subjective
322
  - LaTeX notation may require preprocessing for some applications
323
  - Status (open/solved) should be verified for time-sensitive applications
324
- - Some Erdős problem backgrounds contain extensive LaTeX citations that may need special handling
325
 
326
  ## Citation
327
 
@@ -330,22 +241,9 @@ If you use this dataset in your research, please cite:
330
  ```bibtex
331
  @misc{unsolvedmath2026,
332
  title={UnsolvedMath: A Curated Collection of Open Mathematics Problems},
333
- author={P. Chojecki},
334
  year={2026},
335
  howpublished={\url{https://huggingface.co/datasets/ulamai/UnsolvedMath}},
336
- note={Includes over 1000 open mathematical problems}
337
- }
338
- ```
339
-
340
- For the Erdős problems specifically:
341
-
342
- ```bibtex
343
- @misc{erdos-problems,
344
- title={Erdős Problems},
345
- author={T. F. Bloom},
346
- year={2026},
347
- howpublished={\url{https://www.erdosproblems.com}},
348
- note={Forum}
349
  }
350
  ```
351
 
@@ -353,7 +251,7 @@ For the Erdős problems specifically:
353
 
354
  ### Dataset Curators
355
 
356
- Przemek Chojecki
357
 
358
  ### Licensing Information
359
 
@@ -366,20 +264,13 @@ You are free to:
366
  Under the following terms:
367
  - Attribution — You must give appropriate credit and indicate if changes were made
368
 
369
- ### Updates and Maintenance
370
-
371
- - **Version**: 1.0.0
372
- - **Last Updated**: 2026-01-24
373
- - **Total Problems**: 1,146
374
- - **Erdős Problems Added**: 2026-01-24
375
-
376
  ### Contact
377
 
378
- For questions, issues, or contributions, visit the project repository.
 
 
379
 
380
  ---
381
 
382
- **Generated**: 2026-01-24
383
- **Version**: 1.0.0
384
- **Total Problems**: 1,146
385
- **Erdős Problems**: 632
 
11
  - math
12
  - research
13
  - latex
 
 
 
14
  size_categories:
15
  - 1K<n<10K
16
  pretty_name: UnsolvedMath
17
  ---
18
 
 
 
19
  # UnsolvedMath Dataset
20
 
21
+ A curated collection of open mathematics problems across all domains and difficulty levels.
22
 
 
23
  ## Dataset Description
24
 
25
+ **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:
 
 
26
 
27
+ - Millennium Prize Problems
28
+ - Hilbert's 23 Problems
29
+ - Smale's 18 Problems for the 21st Century
30
+ - DARPA's 23 Mathematical Challenges
31
+ - Ben Green's 100 Open Problems
32
+ - Erdős Problems
33
+ - Kourovka Notebook New Problems
34
+ - Kirby's Problems in Low-Dimensional Topology
35
+ - OpenGarden / Open Problem Garden
36
 
37
  ### Dataset Summary
38
 
39
+ - **Total Problems**: 2084
40
+ - **Version**: 1.1.0
41
+ - **Categories**: 17 mathematical domains
42
  - **Difficulty Levels**: 5 (L1: Tractable → L5: Millennium Prize)
43
+ - **Problem Sets**: 12 curated collections
44
+ - **Format**: JSON
45
  - **License**: CC BY 4.0
46
 
47
+ ### New in v1.1.0
48
+
49
+ This release adds three large source collections:
50
 
51
+ - **OpenGarden / Open Problem Garden**: 422 problems
52
+ - **Kirby's Problems in Low-Dimensional Topology**: 366 problems
53
+ - **Kourovka Notebook New Problems**: 150 problems
 
 
 
 
54
 
55
  ### Supported Tasks
56
 
57
  - Mathematical research and exploration
58
+ - Mathematical question answering
59
  - LaTeX/mathematical notation processing
60
  - Problem classification and organization
61
  - Educational content generation
 
 
62
 
63
  ## Dataset Structure
64
 
 
66
 
67
  The dataset consists of multiple JSON files:
68
 
69
+ 1. **problems.json** - Main dataset containing all problems
70
+ 2. **categories.json** - Mathematical domain classifications
71
+ 3. **difficulty_levels.json** - 5-tier difficulty system
72
+ 4. **sets.json** - Problem set metadata (Millennium Prize, Hilbert's 23, etc.)
73
+ 5. **dataset.json** - Combined file with all data
74
+ 6. **statistics.json** - Dataset statistics
75
 
76
  ### Data Fields
77
 
 
80
  Each problem contains:
81
 
82
  - `id` (int): Unique identifier
 
83
  - `title` (string): Problem title
84
  - `statement` (string): Complete problem statement with LaTeX notation
85
+ - `background` (string, optional): Historical context and background
86
+ - `category` (object): Mathematical domain
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")
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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")
 
 
 
 
 
 
 
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
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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.)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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}},
 
 
 
 
 
 
 
 
 
 
 
 
 
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": "2024-01-01T00:00:00Z"
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": "2024-01-01T00:00:00Z"
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": "2024-01-01T00:00:00Z"
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": "2024-01-01T00:00:00Z"
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": "2024-01-01T00:00:00Z"
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": "2024-01-01T00:00:00Z"
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": "2024-01-01T00:00:00Z"
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": "2024-01-01T00:00:00Z"
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": "2024-01-01T00:00:00Z"
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": "2024-01-01T00:00:00Z"
 
 
 
 
 
 
 
 
 
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": "2024-01-01T00:00:00Z"
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": "2024-01-01T00:00:00Z"
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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
The diff for this file is too large to render. See raw diff
 
problems.json CHANGED
The diff for this file is too large to render. See raw diff
 
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": "2024-01-01T00:00:00Z"
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": "2024-01-01T00:00:00Z"
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": "2024-01-01T00:00:00Z"
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": "2024-01-01T00:00:00Z"
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": "2024-01-01T00:00:00Z"
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": "2024-01-01T00:00:00Z"
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": "2024-01-01T00:00:00Z"
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": "2024-01-01T00:00:00Z"
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": "2024-01-01T00:00:00Z"
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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
+ }