| { |
| "collections": [ |
| { |
| "key": "icm", |
| "name": "ICM Conjectures", |
| "url": "https://www.icmconjectures.com/", |
| "description": "The saved International Congress of Mathematicians catalogue, with original statements, remaining questions, and proceedings links." |
| }, |
| { |
| "key": "verified-colt", |
| "name": "COLT Open Problems", |
| "url": "https://proceedings.mlr.press/", |
| "description": "30 papers from the supplied COLT archive, with original text, figures, and dated status notes." |
| }, |
| { |
| "key": "theoremdb", |
| "name": "TheoremDB", |
| "url": "https://www.theoremdb.org/", |
| "description": "Mathematical problems with explicit statements, research context, and a record of progress." |
| }, |
| { |
| "key": "open-quantum", |
| "name": "Open Quantum Problems", |
| "url": "https://openquantumproblems.com/", |
| "description": "Ten categories spanning quantum information, many-body theory, quantum fields, spectral theory, and foundations." |
| }, |
| { |
| "key": "aimpl", |
| "name": "AIM Problem Lists", |
| "url": "http://aimpl.org/", |
| "description": "Research questions developed in American Institute of Mathematics workshops." |
| }, |
| { |
| "key": "clay", |
| "name": "Millennium Prize Problems", |
| "url": "https://www.claymath.org/millennium-problems/", |
| "description": "The foundational mathematical challenges selected by the Clay Mathematics Institute." |
| } |
| ], |
| "communityCandidates": [ |
| { |
| "name": "Wikipedia — Lists of problems", |
| "url": "https://en.wikipedia.org/wiki/Lists_of_problems", |
| "note": "Discovery index for the subject lists above. Undecidability and NP-/PSPACE-completeness lists are not automatically open problems." |
| }, |
| { |
| "name": "Wikipedia — Medicine", |
| "url": "https://en.wikipedia.org/wiki/List_of_unsolved_problems_in_medicine", |
| "note": "Located through the parent index; no medical questions imported in this selection. Individual formulations and current evidence still need review." |
| } |
| ], |
| "directoryAdditions": [ |
| { |
| "key": "erdos-problems", |
| "note": "634 unresolved source records represented: 631 additions and 3 existing formulations. All 1,220 numbered pages examined; 586 resolved or independence-labelled records excluded." |
| }, |
| { |
| "key": "aaronson-quantum", |
| "note": "All 12 numbered questions in the 2021 article, with section context. Current status unassessed." |
| }, |
| { |
| "key": "jacobs-quantum-control", |
| "note": "All 20 questions in the 2014 revision, with control-model definitions. Current status unassessed." |
| }, |
| { |
| "key": "focs-quantum-learning", |
| "note": "10 substantive slides from the 2024 workshop. The closing broad discussion prompt is not counted. Current status unassessed." |
| }, |
| { |
| "key": "tang-quantum-learning", |
| "note": "2 additional formulations from 2025. Two other questions are linked to the corresponding FOCS entries. Current status unassessed." |
| }, |
| { |
| "key": "dagstuhl-zx-qec", |
| "note": "3 research directions from one seminar report, published May 2026. This does not cover the full Dagstuhl archive. Current status unassessed." |
| } |
| ], |
| "directoryCandidates": [ |
| { |
| "name": "Aizenman mathematical physics archive", |
| "url": "https://web.math.princeton.edu/~aizenman/OpenProblems_MathPhys/", |
| "note": "13 historical topic pages examined. Some are explicitly solved; others need status review and careful transcription of image-based formulas." |
| }, |
| { |
| "name": "Coley — open problems in mathematical physics", |
| "url": "https://arxiv.org/abs/1710.02105", |
| "note": "Historical 2017 survey. Overlap with foundational lists and subsequent progress need review before import." |
| }, |
| { |
| "name": "IQOQI / Werner quantum problems", |
| "url": "https://www.iqoqi-vienna.at/detail/news/open-quantum-problems", |
| "note": "Institutional listing confirmed; the linked problem repository could not be retrieved. Separate from Open Quantum Problems already in the index." |
| }, |
| { |
| "name": "Open Problem Garden", |
| "url": "https://openproblemgarden.org/", |
| "note": "Existing curated entries retained. Unrelated spam appears in the current recent-post feed, so additional pages need individual review." |
| }, |
| { |
| "name": "Nonlinearity open-problem articles", |
| "url": "https://iopscience.iop.org/journal/0951-7715/page/Open%20Problems", |
| "note": "Collection located. Individual article questions have not yet been extracted and checked." |
| }, |
| { |
| "name": "MFO, BIRS, Simons and other workshop archives", |
| "url": "https://publications.mfo.de/", |
| "note": "Useful report archives; only explicitly formulated research problems should become index entries. Directory links and talks are not problem counts." |
| } |
| ] |
| } |
|
|
