| [ |
| { |
| "id": 1, |
| "key": "icm", |
| "name": "ICM Conjectures", |
| "url": "https://www.icmconjectures.com/", |
| "kind": "problem-list", |
| "license": "Source attribution retained; consult original proceedings for reuse terms", |
| "notes": "Selected records with source-side review dates. Historical ICM questions are kept distinct from current status reports.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 2, |
| "key": "verified-colt", |
| "name": "COLT Open Problems — supplied archive", |
| "url": "https://proceedings.mlr.press/", |
| "kind": "conference-open-problem", |
| "license": "Original authors retain copyright; published papers and local audit notes attributed", |
| "notes": "30 supplied papers, 2009–2026. Original text and figures are preserved. Status follows the dated local archive, including the 7 September correction to Chen–Hazan (2024).", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 3, |
| "key": "theoremdb", |
| "name": "TheoremDB", |
| "url": "https://www.theoremdb.org/", |
| "kind": "problem-list", |
| "license": "Selected packets label their content CC0-1.0; original references retain their own terms", |
| "notes": "Selected problem packets with explicit statements and dated status. Recorded attempts are not automatically accepted results.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 4, |
| "key": "open-quantum", |
| "name": "Open Quantum Problems", |
| "url": "https://openquantumproblems.com/", |
| "kind": "problem-list", |
| "license": "Attribution retained; consult source for reuse terms", |
| "notes": "Selected questions from the 4 September 2026 catalogue review. Improved maps to partial progress; preprint and numerical evidence remain qualified.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 5, |
| "key": "clay", |
| "name": "Clay Mathematics Institute — Millennium Prize Problems", |
| "url": "https://www.claymath.org/millennium-problems/", |
| "kind": "prize", |
| "license": "Statements paraphrased; official formulations linked", |
| "notes": "Seven problems posed in 2000, each carrying a US$1,000,000 prize. One (Poincaré) has been resolved.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 6, |
| "key": "colt", |
| "name": "COLT Open Problems track (PMLR)", |
| "url": "https://proceedings.mlr.press/", |
| "kind": "conference-open-problem", |
| "license": "Author-retained copyright; abstracts linked, statements paraphrased", |
| "notes": "Since 2003 the Conference on Learning Theory has published short peer-reviewed papers whose entire purpose is to pose a problem. Titles begin with 'Open Problem:' and are indexed in the annual PMLR volume, which makes the track the single most machine-readable open-problem source in machine learning.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 7, |
| "key": "erdos-problems", |
| "name": "Erdős Problems (Thomas Bloom)", |
| "url": "https://www.erdosproblems.com/", |
| "kind": "problem-list", |
| "license": "See site; statements paraphrased with attribution", |
| "notes": "A maintained database of problems posed by Paul Erdős, with status tracking and references.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 8, |
| "key": "aimpl", |
| "name": "AIM Problem Lists", |
| "url": "https://aimath.org/problemlists/", |
| "kind": "workshop-problem-list", |
| "license": "Editorially moderated; per-list terms", |
| "notes": "Problem lists produced at American Institute of Mathematics workshops, curated by an editorial board.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 9, |
| "key": "open-problem-garden", |
| "name": "Open Problem Garden", |
| "url": "https://www.openproblemgarden.org/", |
| "kind": "problem-list", |
| "license": "Community wiki", |
| "notes": "A long-running community wiki, strongest in graph theory and combinatorics.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 10, |
| "key": "topp", |
| "name": "The Open Problems Project (computational geometry)", |
| "url": "https://topp.openproblem.net/", |
| "kind": "problem-list", |
| "license": "Academic use with attribution", |
| "notes": "Demaine, Mitchell and O'Rourke's numbered list of open problems in computational geometry.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 11, |
| "key": "smale", |
| "name": "Smale's problems for the 21st century", |
| "url": "https://en.wikipedia.org/wiki/Smale%27s_problems", |
| "kind": "problem-list", |
| "license": "Paraphrased with citation", |
| "notes": "Eighteen problems proposed by Stephen Smale in 1998 at the request of Vladimir Arnold.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 12, |
| "key": "kirby", |
| "name": "Kirby's problem list in low-dimensional topology", |
| "url": "https://math.berkeley.edu/~kirby/problems.ps.gz", |
| "kind": "problem-list", |
| "license": "Paraphrased with citation", |
| "notes": "The standing reference list for 3- and 4-manifold topology, numbered and widely cited.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 13, |
| "key": "arxiv", |
| "name": "arXiv preprints", |
| "url": "https://arxiv.org/", |
| "kind": "preprint", |
| "license": "Per-paper licence; metadata via arXiv API", |
| "notes": "Survey sections titled 'open problems' are the richest untapped vein; the arXiv API and bulk metadata make them harvestable.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 14, |
| "key": "textbooks", |
| "name": "Textbooks and monographs", |
| "url": null, |
| "kind": "textbook", |
| "license": "Paraphrased with citation", |
| "notes": "Research-level texts frequently close chapters with explicitly labelled open problems: Guy's Unsolved Problems in Number Theory, Brass–Moser–Pach, Bollobás, Cesa-Bianchi & Lugosi, Lattimore & Szepesvári, Watrous.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 15, |
| "key": "community", |
| "name": "Community consensus", |
| "url": null, |
| "kind": "survey", |
| "license": "Original wording", |
| "notes": "Questions that are widely regarded as open but have no single canonical citation; written here from the surrounding literature.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 68, |
| "key": "aaronson-quantum", |
| "name": "Aaronson — Quantum Query Complexity", |
| "url": "https://arxiv.org/abs/2109.06917", |
| "kind": "survey", |
| "license": "Original author attribution and paper references retained; per-paper terms", |
| "notes": "12 numbered questions from the 2021 article, with section context. Current status unassessed.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 69, |
| "key": "jacobs-quantum-control", |
| "name": "Jacobs — Twenty Open Problems in Quantum Control", |
| "url": "https://arxiv.org/abs/1304.0819", |
| "kind": "survey", |
| "license": "Original author attribution and paper references retained; per-paper terms", |
| "notes": "20 questions from the January 2014 revision, with control-model definitions. Current status unassessed.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 70, |
| "key": "focs-quantum-learning", |
| "name": "FOCS 2024 — Quantum Learning", |
| "url": "https://jerryzli.github.io/focs24-workshop.html", |
| "kind": "workshop-problem-list", |
| "license": "Questions summarized with attribution; original slides linked", |
| "notes": "10 substantive question slides. The final broad discussion prompt is not counted. Historical status unassessed.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 71, |
| "key": "tang-quantum-learning", |
| "name": "Ewin Tang — Quantum Learning Questions", |
| "url": "https://www.ewintang.com/blog/2025/04/22/open/", |
| "kind": "blog", |
| "license": "Original author attribution retained; consult source for reuse terms", |
| "notes": "Two additional formulations; two repeated FOCS questions are retained as follow-up references. Current status unassessed.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 72, |
| "key": "dagstuhl-zx-qec", |
| "name": "Dagstuhl — Quantum Error Correction Meets ZX-Calculus", |
| "url": "https://drops.dagstuhl.de/entities/document/10.4230/DagRep.15.9.58", |
| "kind": "workshop-problem-list", |
| "license": "CC BY 4.0; section authors attributed", |
| "notes": "Three research directions from section 6 of Seminar 25382. Report published 8 May 2026. Current status unassessed.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 101, |
| "key": "wikipedia-mathematics", |
| "name": "Wikipedia — Mathematics", |
| "url": "https://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics", |
| "kind": "problem-list", |
| "license": "Adapted selections attributed to Wikipedia contributors, CC BY-SA 4.0 (https://creativecommons.org/licenses/by-sa/4.0/). Article history linked in each record.", |
| "notes": "Selected questions inspected on 9 September 2026; partial coverage. Editorial summaries, not full article transcriptions. Current status unassessed; inclusion is not independent verification.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 102, |
| "key": "wikipedia-computer-science", |
| "name": "Wikipedia — Computer science", |
| "url": "https://en.wikipedia.org/wiki/List_of_unsolved_problems_in_computer_science", |
| "kind": "problem-list", |
| "license": "Adapted selections attributed to Wikipedia contributors, CC BY-SA 4.0 (https://creativecommons.org/licenses/by-sa/4.0/). Article history linked in each record.", |
| "notes": "Selected questions inspected on 9 September 2026; partial coverage. Editorial summaries, not full article transcriptions. Current status unassessed; inclusion is not independent verification.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 103, |
| "key": "wikipedia-information-theory", |
| "name": "Wikipedia — Information theory", |
| "url": "https://en.wikipedia.org/wiki/List_of_unsolved_problems_in_information_theory", |
| "kind": "problem-list", |
| "license": "Adapted selections attributed to Wikipedia contributors, CC BY-SA 4.0 (https://creativecommons.org/licenses/by-sa/4.0/). Article history linked in each record.", |
| "notes": "Selected questions inspected on 9 September 2026; partial coverage. Editorial summaries, not full article transcriptions. Current status unassessed; inclusion is not independent verification.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 104, |
| "key": "wikipedia-statistics", |
| "name": "Wikipedia — Statistics", |
| "url": "https://en.wikipedia.org/wiki/List_of_unsolved_problems_in_statistics", |
| "kind": "problem-list", |
| "license": "Adapted selections attributed to Wikipedia contributors, CC BY-SA 4.0 (https://creativecommons.org/licenses/by-sa/4.0/). Article history linked in each record.", |
| "notes": "Selected questions inspected on 9 September 2026; partial coverage. Editorial summaries, not full article transcriptions. Current status unassessed; inclusion is not independent verification.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 105, |
| "key": "wikipedia-physics", |
| "name": "Wikipedia — Physics", |
| "url": "https://en.wikipedia.org/wiki/List_of_unsolved_problems_in_physics", |
| "kind": "problem-list", |
| "license": "Adapted selections attributed to Wikipedia contributors, CC BY-SA 4.0 (https://creativecommons.org/licenses/by-sa/4.0/). Article history linked in each record.", |
| "notes": "Selected questions inspected on 9 September 2026; partial coverage. Editorial summaries, not full article transcriptions. Current status unassessed; inclusion is not independent verification.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 106, |
| "key": "wikipedia-astronomy", |
| "name": "Wikipedia — Astronomy", |
| "url": "https://en.wikipedia.org/wiki/List_of_unsolved_problems_in_astronomy", |
| "kind": "problem-list", |
| "license": "Adapted selections attributed to Wikipedia contributors, CC BY-SA 4.0 (https://creativecommons.org/licenses/by-sa/4.0/). Article history linked in each record.", |
| "notes": "Selected questions inspected on 9 September 2026; partial coverage. Editorial summaries, not full article transcriptions. Current status unassessed; inclusion is not independent verification.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 107, |
| "key": "wikipedia-biology", |
| "name": "Wikipedia — Biology", |
| "url": "https://en.wikipedia.org/wiki/List_of_unsolved_problems_in_biology", |
| "kind": "problem-list", |
| "license": "Adapted selections attributed to Wikipedia contributors, CC BY-SA 4.0 (https://creativecommons.org/licenses/by-sa/4.0/). Article history linked in each record.", |
| "notes": "Selected questions inspected on 9 September 2026; partial coverage. Editorial summaries, not full article transcriptions. Current status unassessed; inclusion is not independent verification.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 108, |
| "key": "wikipedia-chemistry", |
| "name": "Wikipedia — Chemistry", |
| "url": "https://en.wikipedia.org/wiki/List_of_unsolved_problems_in_chemistry", |
| "kind": "problem-list", |
| "license": "Adapted selections attributed to Wikipedia contributors, CC BY-SA 4.0 (https://creativecommons.org/licenses/by-sa/4.0/). Article history linked in each record.", |
| "notes": "Selected questions inspected on 9 September 2026; partial coverage. Editorial summaries, not full article transcriptions. Current status unassessed; inclusion is not independent verification. The source carries factual-accuracy and sourcing warnings; these selections require specialist review.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 109, |
| "key": "wikipedia-geoscience", |
| "name": "Wikipedia — Geoscience", |
| "url": "https://en.wikipedia.org/wiki/List_of_unsolved_problems_in_geoscience", |
| "kind": "problem-list", |
| "license": "Adapted selections attributed to Wikipedia contributors, CC BY-SA 4.0 (https://creativecommons.org/licenses/by-sa/4.0/). Article history linked in each record.", |
| "notes": "Selected questions inspected on 9 September 2026; partial coverage. Editorial summaries, not full article transcriptions. Current status unassessed; inclusion is not independent verification.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 110, |
| "key": "wikipedia-neuroscience", |
| "name": "Wikipedia — Neuroscience", |
| "url": "https://en.wikipedia.org/wiki/List_of_unsolved_problems_in_neuroscience", |
| "kind": "problem-list", |
| "license": "Adapted selections attributed to Wikipedia contributors, CC BY-SA 4.0 (https://creativecommons.org/licenses/by-sa/4.0/). Article history linked in each record.", |
| "notes": "Selected questions inspected on 9 September 2026; partial coverage. Editorial summaries, not full article transcriptions. Current status unassessed; inclusion is not independent verification.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 111, |
| "key": "wikipedia-economics", |
| "name": "Wikipedia — Economics", |
| "url": "https://en.wikipedia.org/wiki/List_of_unsolved_problems_in_economics", |
| "kind": "problem-list", |
| "license": "Adapted selections attributed to Wikipedia contributors, CC BY-SA 4.0 (https://creativecommons.org/licenses/by-sa/4.0/). Article history linked in each record.", |
| "notes": "Selected questions inspected on 9 September 2026; partial coverage. Editorial summaries, not full article transcriptions. Current status unassessed; inclusion is not independent verification.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 112, |
| "key": "wikipedia-fair-division", |
| "name": "Wikipedia — Fair division", |
| "url": "https://en.wikipedia.org/wiki/List_of_unsolved_problems_in_fair_division", |
| "kind": "problem-list", |
| "license": "Adapted selections attributed to Wikipedia contributors, CC BY-SA 4.0 (https://creativecommons.org/licenses/by-sa/4.0/). Article history linked in each record.", |
| "notes": "Selected questions inspected on 9 September 2026; partial coverage. Editorial summaries, not full article transcriptions. Current status unassessed; inclusion is not independent verification.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 113, |
| "key": "simons-lattices", |
| "name": "Simons Institute — Lattices '22 problems", |
| "url": "https://wiki.simons.berkeley.edu/doku.php?id=lat22:start", |
| "kind": "workshop-problem-list", |
| "license": "Problem formulations summarized with attribution to the Lattices Program; original references remain at the source.", |
| "notes": "All 10 numbered questions collected on 6 June 2022, summarized with approximation factors and computational models retained. Inspected 9 September 2026; subsequent status unassessed.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 181, |
| "key": "wikipedia-loops", |
| "name": "Wikipedia — Loop theory and quasigroup theory", |
| "url": "https://en.wikipedia.org/wiki/List_of_problems_in_loop_theory_and_quasigroup_theory", |
| "kind": "problem-list", |
| "license": "Adapted selections attributed to Wikipedia contributors, CC BY-SA 4.0 (https://creativecommons.org/licenses/by-sa/4.0/). Article history linked in each record.", |
| "notes": "Six selected questions from the open-problem sections, inspected 9 September 2026. Solved section excluded. Historical formulations; current status unassessed.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 237, |
| "key": "ben-green", |
| "name": "Ben Green — 100 Open Problems", |
| "url": "https://people.maths.ox.ac.uk/greenbj/papers/open-problems.pdf", |
| "kind": "problem-list", |
| "license": "Bibliographic metadata and links only; no blanket redistribution license asserted for the underlying source.", |
| "notes": "All 100 original numbers indexed by PDF page. Source-marked solved entries remain visibly labeled in the catalogue. Available formalizations are linked separately; the author PDF is not republished.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 238, |
| "key": "kourovka", |
| "name": "Kourovka Notebook — 21st edition", |
| "url": "https://kourovkanotebookorg.wordpress.com/wp-content/uploads/2026/09/21tkt.pdf", |
| "kind": "problem-list", |
| "license": "Bibliographic metadata and links only; no blanket redistribution license asserted for the underlying source.", |
| "notes": "September 2026 edition. Active sections and the solved archive are indexed separately; active-section membership does not certify current openness. Includes all 150 problems in Issue 21.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 239, |
| "key": "kirby-k3", |
| "name": "K3 — A New Problem List in Low-Dimensional Topology", |
| "url": "https://math.berkeley.edu/sites/default/files/surv-295-ruberman-watermarked-author-pdf.pdf", |
| "kind": "textbook", |
| "license": "Bibliographic metadata and links only; no blanket redistribution license asserted for the underlying source.", |
| "notes": "2026 author version. Problem numbers, subject sections and page links are indexed. The book explicitly prohibits reposting; its text and PDF are not copied into the public site.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 240, |
| "key": "simons-metacomplexity", |
| "name": "Simons Institute — Meta-Complexity", |
| "url": "https://wiki.simons.berkeley.edu/doku.php?id=mc23:list-of-open-problems", |
| "kind": "workshop-problem-list", |
| "license": "Bibliographic metadata and links only; no blanket redistribution license asserted for the underlying source.", |
| "notes": "All nine submitted topic sections indexed with direct links. A section may contain multiple questions. The index is not counted as nine fully transcribed problems.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 241, |
| "key": "randomstrasse-2025", |
| "name": "Randomstrasse101 — Open Problems of 2025", |
| "url": "https://arxiv.org/html/2603.29571v1", |
| "kind": "preprint", |
| "license": "CC BY 4.0; Afonso S. Bandeira, Daniil Dmitriev, Kevin Lucca, Petar Nizić-Nikolac and Almut Rödder. HTML converted to Markdown; original links and mathematical notation retained.", |
| "notes": "All 16 numbered problems, 16–31, from the March 2026 paper. Definitions and surrounding section context are retained. Overlapping named problems link to existing records.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 242, |
| "key": "tableaux", |
| "name": "Tableaux — A notebook of open problems", |
| "url": "https://arxiv.org/html/2509.25446v3", |
| "kind": "preprint", |
| "license": "CC BY 4.0; Dale R. Worley. HTML converted to Markdown with attribution and source links.", |
| "notes": "All 50 problem numbers from version 3, April 2026. Problems 10 and 30 belong to the solved section and are catalogued there, not imported as open candidates.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 243, |
| "key": "formal-conjectures", |
| "name": "Formal Conjectures", |
| "url": "https://github.com/google-deepmind/formal-conjectures/tree/b82b08faa9006484021c12005ab41287fb2ffb69", |
| "kind": "problem-list", |
| "license": "Copyright The Formal Conjectures Authors. Code: Apache-2.0; other original material: CC BY 4.0. Third-party sources retain their own licenses. Original source files and notices preserved.", |
| "notes": "Fixed repository commit. Only files with actual research-open declarations are eligible for problem records; tests, textbook exercises and solved-only files are excluded. Source declarations are not locally verified proofs.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 244, |
| "key": "amr-directory", |
| "name": "AMR — Problem Lists", |
| "url": "https://amathr.org/problems/", |
| "kind": "problem-list", |
| "license": "Bibliographic metadata and links only; no blanket redistribution license asserted for the underlying source.", |
| "notes": "Bibliographic links from the directory are searchable. Directory links are not counted as individual open problems and are not recursively imported.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 321, |
| "key": "literature-arithmetic", |
| "name": "Robert Benedetto — Current trends and open problems in arithmetic dynamics", |
| "url": "https://doi.org/10.1090/bull/1665", |
| "kind": "survey", |
| "license": "Brief editorial summaries; original article retains its own license.", |
| "notes": "Full text inspected; selected questions paraphrased; current status unassessed. Bulletin AMS 56 (2019), 611–685. Question numbers and PDF pages refer to arXiv v2 (2018); that manuscript lists six authors, while publication metadata includes Laura DeMarco.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 322, |
| "key": "literature-homology", |
| "name": "Oğuz Şavk — A survey of the homology cobordism group", |
| "url": "https://doi.org/10.1090/bull/1806", |
| "kind": "survey", |
| "license": "Brief editorial summaries; original article retains its own license.", |
| "notes": "Full text inspected; selected questions paraphrased; current status unassessed. Bulletin AMS 61 (2024), 119–157. Locators refer to the 32-page arXiv v4 author manuscript, not journal pagination.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 323, |
| "key": "literature-semigroups", |
| "name": "João Araújo — A survey on varieties generated by small semigroups and a companion website", |
| "url": "https://doi.org/10.1016/j.jalgebra.2023.06.030", |
| "kind": "survey", |
| "license": "Brief editorial summaries; original article retains its own license.", |
| "notes": "Full text inspected; selected questions paraphrased; current status unassessed. Journal of Algebra 635 (2023), 698–735; publisher version, CC BY-NC 4.0. Problem 5.3 is excluded: the article itself reports its affirmative solution.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 324, |
| "key": "literature-h-systems", |
| "name": "Armin Schikorra — Invitation to H-systems in higher dimensions: known results, new facts, and related open problems", |
| "url": "https://doi.org/10.4171/EMSS/4-1-2", |
| "kind": "survey", |
| "license": "Brief editorial summaries; original article retains its own license.", |
| "notes": "Full text inspected; selected questions paraphrased; current status unassessed. EMS Surveys in Mathematical Sciences 4 (2017), 21–43. Original MSC2010 labels retained separately; problem mappings use valid MSC2020 codes.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 325, |
| "key": "literature-iss", |
| "name": "Andrii Mironchenko — Input-to-state stability of infinite-dimensional systems: recent results and open questions", |
| "url": "https://doi.org/10.1137/19M1291248", |
| "kind": "survey", |
| "license": "Brief editorial summaries; original article retains its own license.", |
| "notes": "Full text inspected; selected questions paraphrased; current status unassessed. SIAM Review 62 (2020), 529–614. These are research programmes from §10, not single yes/no conjectures. The older Dirichlet heat Lyapunov question is not extracted because later work addresses it.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 326, |
| "key": "literature-bayesian", |
| "name": "Bertrand Clarke — A Cheat Sheet for Bayesian Prediction", |
| "url": "https://doi.org/10.1214/24-STS951", |
| "kind": "survey", |
| "license": "Brief editorial summaries; original article retains its own license.", |
| "notes": "Full text inspected; selected questions paraphrased; current status unassessed. Statistical Science 40 (2025), 3–24. Five research directions from the concluding list; locators use arXiv v2. “M-open” elsewhere in the paper is a modelling category, not evidence of an unsolved problem.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 327, |
| "key": "literature-proofs", |
| "name": "Nathan Segerlind — The complexity of propositional proofs", |
| "url": "https://doi.org/10.2178/bsl/1203350879", |
| "kind": "survey", |
| "license": "Brief editorial summaries; original article retains its own license.", |
| "notes": "Full text inspected; selected questions paraphrased; current status unassessed. Bulletin of Symbolic Logic 13 (2007), 417–481. Historical survey; statements are retained as dated questions, without a claim of a complete 2026 status review.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 328, |
| "key": "literature-crystallization", |
| "name": "Xavier Blanc — The crystallization conjecture: a review", |
| "url": "https://doi.org/10.4171/EMSS/13", |
| "kind": "survey", |
| "license": "Brief editorial summaries; original article retains its own license.", |
| "notes": "Full text inspected; selected questions paraphrased; current status unassessed. EMS Surveys in Mathematical Sciences 2 (2015), 255–306. This is a large-particle-number research programme; finite clusters need not be exactly periodic.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 329, |
| "key": "literature-relativity", |
| "name": "Alessandro Carlotto — The general relativistic constraint equations", |
| "url": "https://doi.org/10.1007/s41114-020-00030-z", |
| "kind": "survey", |
| "license": "Brief editorial summaries; original article retains its own license.", |
| "notes": "Full text inspected; selected questions paraphrased; current status unassessed. Living Reviews in Relativity 24, article 2 (2021). Publisher full text, CC BY 4.0. Numbered open problems retain their original analytic hypotheses.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 330, |
| "key": "literature-randnla", |
| "name": "Per-Gunnar Martinsson — Randomized numerical linear algebra: Foundations and algorithms", |
| "url": "https://doi.org/10.1017/S0962492920000021", |
| "kind": "survey", |
| "license": "Brief editorial summaries; original article retains its own license.", |
| "notes": "Full text inspected; selected questions paraphrased; current status unassessed. Acta Numerica 29 (2020), 403–572. Full text inspected. No problem promoted in this batch: the §5.4 variance question has subsequent work (Horesh et al., 2025, DOI 10.1515/mcma-2025-2006), and the remaining scope needs a follow-up assessment.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 331, |
| "key": "literature-birkar", |
| "name": "Caucher Birkar — Some open problems in effective birational geometry", |
| "url": "https://doi.org/10.4171/EMSS/112", |
| "kind": "survey", |
| "license": "Brief editorial summaries; original article retains its own license.", |
| "notes": "Bibliographic record only; full text not available for inspection. Publisher metadata verified, online publication 30 January 2026. Full text requires subscription; no questions extracted from the abstract.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 552, |
| "key": "tianyuan-logic", |
| "name": "Tianyuan Workshop — Open Problems in Mathematical Logic", |
| "url": "https://arxiv.org/html/2608.26628v2", |
| "kind": "preprint", |
| "license": "http://creativecommons.org/licenses/by/4.0/; attributed adaptation; HTML converted to Markdown with original mathematical notation and source links.", |
| "notes": "All 22 numbered problems from the August 2026 version, with contributor context and definitions. Nested subquestions remain grouped.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 553, |
| "key": "queueing-predictions", |
| "name": "Queueing, Predictions, and LLMs — Mitzenmacher & Shahout", |
| "url": "https://arxiv.org/html/2503.07545v1", |
| "kind": "preprint", |
| "license": "http://creativecommons.org/licenses/by/4.0/; attributed adaptation; HTML converted to Markdown with original mathematical notation and source links.", |
| "notes": "Explicit research-question bullets from the March 2025 author version (published in Stochastic Systems). Definitions and existing-result bullets are context, not new records. Systems-design directions are labeled programmes.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 554, |
| "key": "petrunin-geometry", |
| "name": "Anton Petrunin — A Gallery of Geometry Problems", |
| "url": "https://arxiv.org/pdf/2510.11908v2", |
| "kind": "preprint", |
| "license": "CC0 1.0. Anton Petrunin; independent summaries of version 2, 7 September 2026.", |
| "notes": "All 18 numbered topics in version 2 indexed. Three postscripts report solutions (9, 11, 13); these are excluded from the new problem records. Optical-fiber subquestions remain grouped.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 555, |
| "key": "axial-algebras", |
| "name": "Axial Algebras — Questions and Conjectures", |
| "url": "https://arxiv.org/html/2606.30048v1", |
| "kind": "preprint", |
| "license": "Independently written short question summaries and bibliographic pointers. No blanket redistribution license asserted for the original text.", |
| "notes": "All 94 source-labeled problems indexed; two selected questions summarized. Terminology is defined in section 2 of the linked paper.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 556, |
| "key": "simons-linear", |
| "name": "Simons Workshop — Linear Systems and Eigenvalue Problems", |
| "url": "https://arxiv.org/html/2602.05394v3", |
| "kind": "preprint", |
| "license": "Independently written short question summaries and bibliographic pointers. No blanket redistribution license asserted for the original text.", |
| "notes": "All 47 numbered problems in version 3 indexed. Two benchmark-design directions are selected; numbered pointers alone do not certify current openness. Read the source updates for later solutions.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 557, |
| "key": "dagstuhl-graphs-pdf", |
| "name": "Dagstuhl 25041 — Graph Classes and Algorithmic Complexity", |
| "url": "https://drops.dagstuhl.de/storage/04dagstuhl-reports/volume15/issue01/25041/DagRep.15.1.105/DagRep.15.1.105.pdf", |
| "kind": "workshop-problem-list", |
| "license": "CC BY 4.0; attributed editorial adaptation of the named section authors.", |
| "notes": "Eight selected questions from sections 4.1–4.9; section 4.2 remains a source pointer pending a formulation and progress check.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 558, |
| "key": "dagstuhl-semirings-pdf", |
| "name": "Dagstuhl 25081 — Semirings in Database Theory", |
| "url": "https://drops.dagstuhl.de/storage/04dagstuhl-reports/volume15/issue02/25081/DagRep.15.2.89/DagRep.15.2.89.pdf", |
| "kind": "workshop-problem-list", |
| "license": "CC BY 4.0; attributed editorial adaptation of the named section authors.", |
| "notes": "Four selected questions from the five-section open-problem session. Datalog convergence is retained only as a pointer because later bounds require reconciling the exact model.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 559, |
| "key": "mfo-number-theory", |
| "name": "Oberwolfach 2025 — Analytic Number Theory Problem Session", |
| "url": "https://ems.press/content/serial-article-files/52435", |
| "kind": "workshop-problem-list", |
| "license": "CC BY-SA 4.0; source contributors, compiled by Thomas F. Bloom. These attributed adaptations are available under the same license.", |
| "notes": "Selected questions from pp. 2756–2760 of Oberwolfach Report 51/2025. The source-marked solution sketch and formulations needing clarification are excluded.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 560, |
| "key": "jmlr-meta-learning", |
| "name": "JMLR — Fast Rates in PAC-Bayes Meta-Learning", |
| "url": "https://jmlr.org/papers/volume26/23-025/23-025.pdf", |
| "kind": "journal", |
| "license": "CC BY 4.0; attributed editorial adaptation of the named section authors.", |
| "notes": "Selected source questions; current status unassessed.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 561, |
| "key": "jmlr-hyperbo", |
| "name": "JMLR — Pre-trained Gaussian Processes for Bayesian Optimization", |
| "url": "https://jmlr.org/papers/volume25/23-0269/23-0269.pdf", |
| "kind": "journal", |
| "license": "CC BY 4.0; attributed editorial adaptation of the named section authors.", |
| "notes": "Selected source questions; current status unassessed.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 562, |
| "key": "information-geometry", |
| "name": "FDIG 2025 — Open Problems in Information Geometry", |
| "url": "https://arxiv.org/html/2509.06989v1", |
| "kind": "preprint", |
| "license": "Independently written short question summaries and bibliographic pointers. No blanket redistribution license asserted for the original text.", |
| "notes": "Three selected questions from the Tokyo FDIG 2025 contributors; this is not a complete transcription of all eight contributor sections.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 563, |
| "key": "siam-optimization", |
| "name": "SIAM Optimization — Open Problems in Optimization", |
| "url": "https://siagoptimization.github.io/assets/views/ViewsAndNews-33-1.pdf", |
| "kind": "survey", |
| "license": "Independently written short question summaries and bibliographic pointers. No blanket redistribution license asserted for the original text.", |
| "notes": "Two questions selected from section 3.1 of SIAG/OPT Views and News 33(1). This is an authored perspective, not an official exhaustive SIAM problem list.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 564, |
| "key": "computable-dynamics", |
| "name": "Universality in Computable Dynamical Systems — Old and New", |
| "url": "https://arxiv.org/html/2507.10725v1", |
| "kind": "preprint", |
| "license": "Independently written short question summaries and bibliographic pointers. No blanket redistribution license asserted for the original text.", |
| "notes": "Selected source questions; current status unassessed.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 565, |
| "key": "mathematical-biology", |
| "name": "Open Problems in Mathematical Biology — Vittadello & Stumpf", |
| "url": "https://arxiv.org/html/2206.09516v1", |
| "kind": "preprint", |
| "license": "http://creativecommons.org/licenses/by-sa/4.0/; attributed adaptation; HTML converted to Markdown with original mathematical notation and source links.", |
| "notes": "Four selected research programmes from sections 3.2–3.5, retaining the source discussion. Broad modelling directions are not presented as sharp conjectures.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 566, |
| "key": "liouville-gravity", |
| "name": "Liouville Quantum Gravity — Holden & Sun", |
| "url": "https://arxiv.org/html/2510.16431v1", |
| "kind": "preprint", |
| "license": "http://creativecommons.org/licenses/by/4.0/; attributed adaptation; HTML converted to Markdown with original mathematical notation and source links.", |
| "notes": "Three grouped research programmes from the Outlook, with the complete corresponding subsection as context. Speculative connections are labeled as programmes.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 703, |
| "key": "epoch-open-problems", |
| "name": "Epoch AI — FrontierMath: Open Problems", |
| "url": "https://epoch.ai/frontiermath/open-problems", |
| "kind": "problem-list", |
| "license": "CC BY 4.0 (Epoch AI data and problem pages); attributed reproduction of problem descriptions and verbatim task prompts.", |
| "notes": "All 49 listed research problems with automatically verifiable answers, from Epoch’s published data archive and problem pages (data updated 7 October 2026). Expanded after June 2026 workshops and featured by Scientific American (2 October 2026). Status follows Epoch’s labels: 39 unsolved, 10 marked solved (5 by AI, 5 by human + AI).", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 704, |
| "key": "optimization-constants", |
| "name": "Optimization Constants in Mathematics — Davis, Ivanisvili & Tao", |
| "url": "https://teorth.github.io/optimizationproblems/", |
| "kind": "problem-list", |
| "license": "Apache-2.0 (repository license); constant pages reproduced with attribution; repository references retained.", |
| "notes": "All 115 tabulated constants with their descriptions and the repository’s best known lower and upper bounds at the pinned commit. The maintainers review submissions for plausibility, not certified correctness; asterisked bounds have minimal verification.", |
| "lastIngestedAt": null |
| }, |
| { |
| "id": 705, |
| "key": "alphaevolve-problems", |
| "name": "AlphaEvolve Repository of Problems — Georgiev, Gómez-Serrano, Tao & Wagner", |
| "url": "https://google-deepmind.github.io/alphaevolve_repository_of_problems/", |
| "kind": "problem-list", |
| "license": "Apache-2.0 (repository license); problem pages reproduced with attribution.", |
| "notes": "59 of the 67 problem pages, with AlphaEvolve result categories and recorded bounds; 8 pages are rediscovery tests of classical results, competition problems or puzzles and remain catalogue-only. The repository records AlphaEvolve performance, not the current status of each question.", |
| "lastIngestedAt": null |
| } |
| ] |
|
|
