{
  "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."
    }
  ]
}