przemekch commited on
Commit
c6e7f41
·
verified ·
1 Parent(s): c423bd6

Release UnsolvedMath v1.6.0 with Oberwolfach Reports

Browse files

Adds 6,673 open and partially solved problems from 1,106 Oberwolfach Reports (2004–2026), with DOI provenance and dated literature assessments. Total dataset size: 15,458 problems.

Files changed (5) hide show
  1. README.md +57 -28
  2. dataset.json +2 -2
  3. problems.json +2 -2
  4. sets.json +135 -126
  5. statistics.json +118 -108
README.md CHANGED
@@ -12,7 +12,7 @@ tags:
12
  - research
13
  - latex
14
  size_categories:
15
- - 1K<n<10K
16
  pretty_name: UnsolvedMath
17
  ---
18
 
@@ -22,7 +22,7 @@ pretty_name: UnsolvedMath
22
 
23
  # UnsolvedMath Dataset
24
 
25
- A comprehensive curated collection of **8,785 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).
26
 
27
  Paper: "[Open Mathematical Problems as an AI Reasoning Benchmark](https://huggingface.co/datasets/ulamai/UnsolvedMath/blob/main/open-math.pdf)"
28
 
@@ -41,15 +41,16 @@ Paper: "[Open Mathematical Problems as an AI Reasoning Benchmark](https://huggin
41
  - OpenGarden / Open Problem Garden
42
  - AMR Open Problem Lists
43
  - AIM Workshop Problem Lists
 
44
 
45
  ### Dataset Summary
46
 
47
- - **Total Problems**: 8785
48
  - **Erdős Problems**: 632 problems with citations and references
49
- - **Version**: 1.5.0
50
  - **Categories**: 17 mathematical domains
51
  - **Difficulty Levels**: 5 (L1: Tractable → L5: Millennium Prize)
52
- - **Problem Sets**: 14 curated collections
53
  - **Format**: JSON
54
  - **License**: CC BY 4.0
55
 
@@ -127,6 +128,31 @@ supplement the legacy `status` field and require independent verification
127
  before citation. A refutation or counterexample is classified as solved;
128
  uncertain literature status is classified as partially solved.
129
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
130
  ### Supported Tasks
131
 
132
  - Mathematical research and exploration
@@ -150,6 +176,8 @@ The dataset consists of multiple JSON files:
150
  7. **research_results.json** - Per-problem AMR and AIM research notes (status, literature, result, what remains)
151
  8. **aim_statement_audit.json** - Per-problem AIM statement-recovery evidence and verification status
152
 
 
 
153
  ### Data Fields
154
 
155
  #### Problems
@@ -212,35 +240,35 @@ Each problem contains:
212
 
213
  - L1: Tractable: 916
214
  - L2: Intermediate: 523
215
- - L3: Advanced: 6246
216
  - L4: Expert: 963
217
  - L5: Millennium Prize: 137
218
 
219
  ### Problems by Category
220
 
221
- - Number Theory: 915
222
- - Combinatorics: 686
223
- - Graph Theory: 727
224
- - Algebra: 277
225
- - Algebraic Geometry: 455
226
- - Geometry: 1088
227
- - Topology: 1498
228
- - Analysis: 851
229
- - Partial Differential Equations: 139
230
- - Set Theory: 16
231
- - Dynamical Systems: 520
232
- - Computer Science: 298
233
- - Mathematical Physics: 116
234
- - Group Theory: 470
235
- - Logic: 210
236
- - Probability: 312
237
- - Miscellaneous: 207
238
 
239
  ### Problems by Status
240
 
241
- - Open: 4462
 
242
  - Solved: 696
243
- - Partially Solved: 3627
244
 
245
  ## Usage
246
 
@@ -314,6 +342,7 @@ All problems include:
314
  - LaTeX notation may require preprocessing for some applications
315
  - Status (open/solved) should be verified for time-sensitive applications
316
  - Some AMR and AIM records retain `NEEDS_REVIEW` status or rights notes from the source audit; consult each record's provenance before reuse
 
317
 
318
  ## Citation
319
 
@@ -336,7 +365,7 @@ UnsolvedMath project contributors
336
 
337
  ### Licensing Information
338
 
339
- This dataset is released under the **Creative Commons Attribution 4.0 International (CC BY 4.0)** license.
340
 
341
  You are free to:
342
  - Share — copy and redistribute the material in any medium or format
@@ -353,5 +382,5 @@ For questions, issues, or contributions:
353
 
354
  ---
355
 
356
- **Generated**: 2026-08-18T00:00:00Z
357
- **Version**: 1.5.0
 
12
  - research
13
  - latex
14
  size_categories:
15
+ - 10K<n<100K
16
  pretty_name: UnsolvedMath
17
  ---
18
 
 
22
 
23
  # UnsolvedMath Dataset
24
 
25
+ A comprehensive curated collection of **15,458 open and partially solved 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).
26
 
27
  Paper: "[Open Mathematical Problems as an AI Reasoning Benchmark](https://huggingface.co/datasets/ulamai/UnsolvedMath/blob/main/open-math.pdf)"
28
 
 
41
  - OpenGarden / Open Problem Garden
42
  - AMR Open Problem Lists
43
  - AIM Workshop Problem Lists
44
+ - Oberwolfach Reports workshop problems and discussions
45
 
46
  ### Dataset Summary
47
 
48
+ - **Total Problems**: 15458
49
  - **Erdős Problems**: 632 problems with citations and references
50
+ - **Version**: 1.6.0
51
  - **Categories**: 17 mathematical domains
52
  - **Difficulty Levels**: 5 (L1: Tractable → L5: Millennium Prize)
53
+ - **Problem Sets**: 15 curated collections
54
  - **Format**: JSON
55
  - **License**: CC BY 4.0
56
 
 
128
  before citation. A refutation or counterexample is classified as solved;
129
  uncertain literature status is classified as partially solved.
130
 
131
+ ### New in v1.6.0
132
+
133
+ This release adds **6,673 open and partially solved problems from Oberwolfach
134
+ Reports**, spanning Volumes 1–23 (2004–2026) and 1,106 source reports. The
135
+ records capture explicit problems, conjectures, and research questions from
136
+ conference reports together with the mathematical discussion needed to
137
+ understand their current status.
138
+
139
+ - **New OWR problems**: 6,673 (4,493 open; 2,180 partially solved).
140
+ - **Provenance**: every record retains its OWR identifier, source-report DOI,
141
+ report citation, and source links used by the literature assessment.
142
+ - **Literature triage**: assessments were checked on 2026-08-21 or 2026-08-22.
143
+ - **Difficulty**: all imported OWR records receive the conservative L3 default;
144
+ this is a corpus-level default rather than an expert ranking of each problem.
145
+ - **Categories**: OWR domains are assigned conservatively from workshop titles
146
+ and statement terminology; ambiguous records remain Miscellaneous.
147
+ - **Quality check**: a fixed-seed blind sample of ten records found eight clear,
148
+ mathematically identifiable problems and two weaker programmatic or malformed
149
+ extractions. The latter remain in the inclusion-first corpus and are flagged
150
+ by their own literature assessments. Users should consult the source report
151
+ where exact formulation matters.
152
+
153
+ The OWR literature assessments are dated curation aids, not peer review. Status
154
+ and source claims should be independently verified before citation.
155
+
156
  ### Supported Tasks
157
 
158
  - Mathematical research and exploration
 
176
  7. **research_results.json** - Per-problem AMR and AIM research notes (status, literature, result, what remains)
177
  8. **aim_statement_audit.json** - Per-problem AIM statement-recovery evidence and verification status
178
 
179
+ OWR records additionally expose `source_citation`, `literature_assessment`, `literature_sources`, and `literature_checked_at`.
180
+
181
  ### Data Fields
182
 
183
  #### Problems
 
240
 
241
  - L1: Tractable: 916
242
  - L2: Intermediate: 523
243
+ - L3: Advanced: 12919
244
  - L4: Expert: 963
245
  - L5: Millennium Prize: 137
246
 
247
  ### Problems by Category
248
 
249
+ - Algebra: 927
250
+ - Algebraic Geometry: 830
251
+ - Analysis: 1143
252
+ - Combinatorics: 744
253
+ - Computer Science: 642
254
+ - Dynamical Systems: 667
255
+ - Geometry: 1967
256
+ - Graph Theory: 1222
257
+ - Group Theory: 848
258
+ - Logic: 286
259
+ - Mathematical Physics: 352
260
+ - Miscellaneous: 1530
261
+ - Number Theory: 1268
262
+ - Partial Differential Equations: 270
263
+ - Probability: 798
264
+ - Set Theory: 77
265
+ - Topology: 1887
266
 
267
  ### Problems by Status
268
 
269
+ - Open: 8955
270
+ - Partially Solved: 5807
271
  - Solved: 696
 
272
 
273
  ## Usage
274
 
 
342
  - LaTeX notation may require preprocessing for some applications
343
  - Status (open/solved) should be verified for time-sensitive applications
344
  - Some AMR and AIM records retain `NEEDS_REVIEW` status or rights notes from the source audit; consult each record's provenance before reuse
345
+ - Some OWR records are broad research directions or imperfect extractions; their literature assessments flag known formulation limitations
346
 
347
  ## Citation
348
 
 
365
 
366
  ### Licensing Information
367
 
368
+ The UnsolvedMath curation and original metadata are released under the **Creative Commons Attribution 4.0 International (CC BY 4.0)** license. Linked source material remains subject to its own terms; recent open-access Oberwolfach Reports identify CC BY-SA 4.0 on their article pages, and those source terms are not superseded by this dataset card.
369
 
370
  You are free to:
371
  - Share — copy and redistribute the material in any medium or format
 
382
 
383
  ---
384
 
385
+ **Generated**: 2026-08-25T00:00:00Z
386
+ **Version**: 1.6.0
dataset.json CHANGED
@@ -1,3 +1,3 @@
1
  version https://git-lfs.github.com/spec/v1
2
- oid sha256:6f993176418d57be89c89e27af4ccdef6dae0177b9ed887368e8d66a1c235c78
3
- size 38973122
 
1
  version https://git-lfs.github.com/spec/v1
2
+ oid sha256:403d7bea6605439a029f4dcd9200aca952aab94dfd1aba6c8105380714333be8
3
+ size 66165674
problems.json CHANGED
@@ -1,3 +1,3 @@
1
  version https://git-lfs.github.com/spec/v1
2
- oid sha256:8ae5b01b910bb6123e6de5813204026a01be16dd9bc1883cd51c9c0e1a4b62da
3
- size 38536671
 
1
  version https://git-lfs.github.com/spec/v1
2
+ oid sha256:0a11e1b86385b6095f001803e2bb9d176b3498da0932d7af3700e1132ef153ac
3
+ size 64449055
sets.json CHANGED
@@ -1,128 +1,137 @@
1
  [
2
- {
3
- "id": 1,
4
- "name": "millennium_prize",
5
- "display_name": "Millennium Prize Problems",
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,
13
- "name": "hilbert_problems",
14
- "display_name": "Hilbert's 23 Problems",
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,
22
- "name": "green_problems",
23
- "display_name": "Ben Green's 100 Open Problems",
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,
31
- "name": "darpa_challenges",
32
- "display_name": "DARPA's 23 Mathematical Challenges",
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,
40
- "name": "smale_problems",
41
- "display_name": "Smale's Problems",
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,
49
- "name": "landau_problems",
50
- "display_name": "Landau's Problems",
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,
58
- "name": "hardy_littlewood_conjectures",
59
- "display_name": "Hardy-Littlewood Conjectures",
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,
67
- "name": "erdos_problems",
68
- "display_name": "Erdős Problems",
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,
76
- "name": "guy_prime_numbers",
77
- "display_name": "Richard Guy - A: Prime Numbers",
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,
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": "2026-07-31T15:26:25.671Z"
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": "2026-07-31T15:26:25.671Z"
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": "2026-07-31T15:26:25.671Z"
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
- {
120
- "id": 14,
121
- "name": "aim_workshop_problem_lists",
122
- "display_name": "AIM Workshop Problem Lists",
123
- "description": "Canonical open-problem records from American Institute of Mathematics workshop lists, with one validated research report and complete attempt artifacts per record.",
124
- "slug": "aim-workshop-problem-lists",
125
- "order_index": 14,
126
- "created_at": "2026-08-14T00:00:00Z"
127
- }
 
 
 
 
 
 
 
 
 
128
  ]
 
1
  [
2
+ {
3
+ "id": 1,
4
+ "name": "millennium_prize",
5
+ "display_name": "Millennium Prize Problems",
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,
13
+ "name": "hilbert_problems",
14
+ "display_name": "Hilbert's 23 Problems",
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,
22
+ "name": "green_problems",
23
+ "display_name": "Ben Green's 100 Open Problems",
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,
31
+ "name": "darpa_challenges",
32
+ "display_name": "DARPA's 23 Mathematical Challenges",
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,
40
+ "name": "smale_problems",
41
+ "display_name": "Smale's Problems",
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,
49
+ "name": "landau_problems",
50
+ "display_name": "Landau's Problems",
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,
58
+ "name": "hardy_littlewood_conjectures",
59
+ "display_name": "Hardy-Littlewood Conjectures",
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,
67
+ "name": "erdos_problems",
68
+ "display_name": "Erdős Problems",
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,
76
+ "name": "guy_prime_numbers",
77
+ "display_name": "Richard Guy - A: Prime Numbers",
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,
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": "2026-07-31T15:26:25.671Z"
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": "2026-07-31T15:26:25.671Z"
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": "2026-07-31T15:26:25.671Z"
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
+ {
120
+ "id": 14,
121
+ "name": "aim_workshop_problem_lists",
122
+ "display_name": "AIM Workshop Problem Lists",
123
+ "description": "Canonical open-problem records from American Institute of Mathematics workshop lists, with one validated research report and complete attempt artifacts per record.",
124
+ "slug": "aim-workshop-problem-lists",
125
+ "order_index": 14,
126
+ "created_at": "2026-08-14T00:00:00Z"
127
+ },
128
+ {
129
+ "id": 15,
130
+ "name": "oberwolfach_reports_open_problems",
131
+ "display_name": "Oberwolfach Reports Open Problems",
132
+ "description": "Open and partially solved problems extracted from Oberwolfach Reports workshop discussions, with report provenance and dated literature assessments.",
133
+ "slug": "oberwolfach-reports-open-problems",
134
+ "order_index": 15,
135
+ "created_at": "2026-08-25T00:00:00Z"
136
+ }
137
  ]
statistics.json CHANGED
@@ -1,117 +1,127 @@
1
  {
2
- "total_problems": 8785,
3
- "problems_by_difficulty": {
4
- "L1: Tractable": 916,
5
- "L2: Intermediate": 523,
6
- "L3: Advanced": 6246,
7
- "L4: Expert": 963,
8
- "L5: Millennium Prize": 137
9
- },
10
- "problems_by_category": {
11
- "Number Theory": 915,
12
- "Combinatorics": 686,
13
- "Graph Theory": 727,
14
- "Algebra": 277,
15
- "Algebraic Geometry": 455,
16
- "Geometry": 1088,
17
- "Topology": 1498,
18
- "Analysis": 851,
19
- "Partial Differential Equations": 139,
20
- "Set Theory": 16,
21
- "Dynamical Systems": 520,
22
- "Computer Science": 298,
23
- "Mathematical Physics": 116,
24
- "Group Theory": 470,
25
- "Logic": 210,
26
- "Probability": 312,
27
- "Miscellaneous": 207
28
- },
29
- "problems_by_status": {
30
- "open": 4462,
31
- "solved": 696,
32
- "partially_solved": 3627
33
- },
34
- "problems_by_set": {
35
- "millennium_prize": 6,
36
- "hilbert_problems": 11,
37
- "green_problems": 85,
38
- "darpa_challenges": 17,
39
- "smale_problems": 8,
40
- "landau_problems": 1,
41
- "hardy_littlewood_conjectures": 0,
42
- "erdos_problems": 632,
43
- "guy_prime_numbers": 0,
44
- "kourovka_new_problems_21": 150,
45
- "kirby_low_dimensional_topology": 366,
46
- "opengarden": 422,
47
- "amr_open_problem_lists": 3342,
48
- "aim_workshop_problem_lists": 3359,
49
- "unspecified": 386
50
- },
51
- "amr_research": {
52
- "reports_total": 3342,
53
- "classifications": {
54
- "PARTIAL-PROGRESS": 963,
55
- "OPEN-TRIAGE": 2196,
56
- "SOLVED-IN-LITERATURE": 181,
57
- "SOLVED-BY-YOU": 2
58
  },
59
- "note": "Every AMR problem carries structured research notes in research_results.json (solution attempt, partial progress, or literature triage), produced by an AI research fleet and verified in a human-supervised audit (Aug 2026). Classifications: SOLVED-BY-YOU (original AI proof), SOLVED-IN-LITERATURE (resolution found and citation-verified), PARTIAL-PROGRESS, OPEN-TRIAGE (literature status triaged, problem open)."
60
- },
61
- "aim_research": {
62
- "reports_total": 3359,
63
- "classifications": {
64
- "PARTIAL-PROGRESS": 2664,
65
- "SOLVED-IN-LITERATURE": 461,
66
- "SOLVED-BY-YOU": 43,
67
- "OPEN-TRIAGE": 191
 
 
 
 
 
 
 
 
 
68
  },
69
- "result_statuses": {
70
- "partial_result": 2589,
71
- "conditional_result": 45,
72
- "reduction": 182,
73
- "full_solution": 174,
74
- "counterexample": 177,
75
- "context_only": 150,
76
- "invalid_statement": 41,
77
- "heuristic": 1
78
  },
79
- "rigor": {
80
- "proved": 3329,
81
- "conditional": 29,
82
- "heuristic": 1
 
 
 
 
 
 
 
 
 
 
83
  },
84
- "novelty_confidence": {
85
- "low": 3348,
86
- "medium": 11
 
 
 
 
 
 
87
  },
88
- "wording_corrected": {
89
- "no": 3298,
90
- "yes": 61
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
91
  },
92
- "statement_statuses": {
93
- "exact": 2886,
94
- "reconstructed_unverified": 385,
95
- "corrected_verified": 61,
96
- "unrecoverable": 27
 
 
 
 
 
 
 
 
 
 
97
  },
98
- "note": "Every canonical AIM problem carries an exact AIM-... identifier and an individual validated report in research_results.json. All 3,359 problems added in v1.4 are from AIM workshops and each received one solution attempt using GPT-5.6 Sol at xhigh reasoning effort. Reports embed the exact input, claim, standalone LaTeX solution, result metadata, and an explicit statement-recovery audit separating original and clean text. Machine-generated research and novelty assessments require independent expert verification."
99
- },
100
- "literature_triage": {
101
- "reports_total": 2084,
102
- "scope": "All non-AMR and non-AIM problem records",
103
- "literature_review_checked": "2026-08-17",
104
- "statuses": {
105
- "open": 670,
106
- "partially_solved": 1215,
107
- "solved": 199
108
- },
109
- "classifications": {
110
- "OPEN-TRIAGE": 670,
111
- "PARTIAL-PROGRESS": 1215,
112
- "SOLVED-IN-LITERATURE": 199
113
- },
114
- "note": "Each dated literature review is appended to the problem background with source links. A refutation or counterexample is classified as solved, and uncertain literature status is classified as partially solved. These machine-generated triage labels supplement the legacy status field and require independent verification before citation."
115
- },
116
- "version": "1.5.0"
117
  }
 
1
  {
2
+ "total_problems": 15458,
3
+ "problems_by_difficulty": {
4
+ "L1: Tractable": 916,
5
+ "L2: Intermediate": 523,
6
+ "L3: Advanced": 12919,
7
+ "L4: Expert": 963,
8
+ "L5: Millennium Prize": 137
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
9
  },
10
+ "problems_by_category": {
11
+ "Algebra": 927,
12
+ "Algebraic Geometry": 830,
13
+ "Analysis": 1143,
14
+ "Combinatorics": 744,
15
+ "Computer Science": 642,
16
+ "Dynamical Systems": 667,
17
+ "Geometry": 1967,
18
+ "Graph Theory": 1222,
19
+ "Group Theory": 848,
20
+ "Logic": 286,
21
+ "Mathematical Physics": 352,
22
+ "Miscellaneous": 1530,
23
+ "Number Theory": 1268,
24
+ "Partial Differential Equations": 270,
25
+ "Probability": 798,
26
+ "Set Theory": 77,
27
+ "Topology": 1887
28
  },
29
+ "problems_by_status": {
30
+ "open": 8955,
31
+ "partially_solved": 5807,
32
+ "solved": 696
 
 
 
 
 
33
  },
34
+ "problems_by_set": {
35
+ "aim_workshop_problem_lists": 3359,
36
+ "amr_open_problem_lists": 3342,
37
+ "darpa_challenges": 17,
38
+ "erdos_problems": 632,
39
+ "green_problems": 85,
40
+ "hilbert_problems": 11,
41
+ "kirby_low_dimensional_topology": 366,
42
+ "kourovka_new_problems_21": 150,
43
+ "landau_problems": 1,
44
+ "millennium_prize": 6,
45
+ "oberwolfach_reports_open_problems": 6673,
46
+ "opengarden": 422,
47
+ "smale_problems": 8
48
  },
49
+ "amr_research": {
50
+ "reports_total": 3342,
51
+ "classifications": {
52
+ "PARTIAL-PROGRESS": 963,
53
+ "OPEN-TRIAGE": 2196,
54
+ "SOLVED-IN-LITERATURE": 181,
55
+ "SOLVED-BY-YOU": 2
56
+ },
57
+ "note": "Every AMR problem carries structured research notes in research_results.json (solution attempt, partial progress, or literature triage), produced by an AI research fleet and verified in a human-supervised audit (Aug 2026). Classifications: SOLVED-BY-YOU (original AI proof), SOLVED-IN-LITERATURE (resolution found and citation-verified), PARTIAL-PROGRESS, OPEN-TRIAGE (literature status triaged, problem open)."
58
  },
59
+ "aim_research": {
60
+ "reports_total": 3359,
61
+ "classifications": {
62
+ "PARTIAL-PROGRESS": 2664,
63
+ "SOLVED-IN-LITERATURE": 461,
64
+ "SOLVED-BY-YOU": 43,
65
+ "OPEN-TRIAGE": 191
66
+ },
67
+ "result_statuses": {
68
+ "partial_result": 2589,
69
+ "conditional_result": 45,
70
+ "reduction": 182,
71
+ "full_solution": 174,
72
+ "counterexample": 177,
73
+ "context_only": 150,
74
+ "invalid_statement": 41,
75
+ "heuristic": 1
76
+ },
77
+ "rigor": {
78
+ "proved": 3329,
79
+ "conditional": 29,
80
+ "heuristic": 1
81
+ },
82
+ "novelty_confidence": {
83
+ "low": 3348,
84
+ "medium": 11
85
+ },
86
+ "wording_corrected": {
87
+ "no": 3298,
88
+ "yes": 61
89
+ },
90
+ "statement_statuses": {
91
+ "exact": 2886,
92
+ "reconstructed_unverified": 385,
93
+ "corrected_verified": 61,
94
+ "unrecoverable": 27
95
+ },
96
+ "note": "Every canonical AIM problem carries an exact AIM-... identifier and an individual validated report in research_results.json. All 3,359 problems added in v1.4 are from AIM workshops and each received one solution attempt using GPT-5.6 Sol at xhigh reasoning effort. Reports embed the exact input, claim, standalone LaTeX solution, result metadata, and an explicit statement-recovery audit separating original and clean text. Machine-generated research and novelty assessments require independent expert verification."
97
  },
98
+ "literature_triage": {
99
+ "reports_total": 2084,
100
+ "scope": "All non-AMR and non-AIM problem records",
101
+ "literature_review_checked": "2026-08-17",
102
+ "statuses": {
103
+ "open": 670,
104
+ "partially_solved": 1215,
105
+ "solved": 199
106
+ },
107
+ "classifications": {
108
+ "OPEN-TRIAGE": 670,
109
+ "PARTIAL-PROGRESS": 1215,
110
+ "SOLVED-IN-LITERATURE": 199
111
+ },
112
+ "note": "Each dated literature review is appended to the problem background with source links. A refutation or counterexample is classified as solved, and uncertain literature status is classified as partially solved. These machine-generated triage labels supplement the legacy status field and require independent verification before citation."
113
  },
114
+ "version": "1.6.0",
115
+ "v1_6_owr": {
116
+ "problems_total": 6673,
117
+ "source_reports": 1106,
118
+ "statuses": {
119
+ "open": 4493,
120
+ "partially_solved": 2180
121
+ },
122
+ "checked_at": {
123
+ "2026-08-21": 4029,
124
+ "2026-08-22": 2644
125
+ }
126
+ }
 
 
 
 
 
 
127
  }