{
  "schema_version": 1,
  "title": "Mathematics Library",
  "updated": "2026-09-21",
  "initial_public_route_check_date": "2026-09-19",
  "route_evidence_note": "Existing program, D80, D100 and R48 routes were supplied as confirmed on 2026-09-19. The six EGA/FGA/Stacks translation repository URLs were checked by the coordinating owner on 2026-09-21. The collected-works repository and its README were checked on 2026-09-21. Dates for later routes are recorded on their edition or source fields.",
  "description": "A directory of mathematics study programs, research-course drafts, collected works and reference editions. Each work retains its own editorial status and edition routes.",
  "collections": [
    {"id": "study-programs", "number": "01", "title": "Study programs", "description": "Course maps and published readers, from a broad route through mathematics to sustained study of a single subject."},
    {"id": "research-courses", "number": "02", "title": "Advanced research courses", "description": "Four English course drafts connect analysis, geometry and operator algebras. Their frozen R5B snapshot contains 155 draft reading units, including two separately authored operator-algebra bridges. This counts available draft lessons, not the proportion of the subject covered. Open proof obligations remain; these unofficial AI-written drafts are not admitted as complete results."},
    {"id": "collected-works", "number": "03", "title": "Collected works", "description": "A working library of modern editions and translation drafts, with editable sources, coverage maps and provenance records."},
    {"id": "reference-editions", "number": "04", "title": "EGA, FGA & SGA", "description": "Source repositories for EGA and FGA, with each available language route identified separately. Repository access does not imply a complete edition or a published HTML reader; SGA routes await confirmation."},
    {"id": "companion-sources", "number": "05", "title": "Companion sources", "description": "Separate draft collections and downloadable research materials. These do not stand in for the study programs or published reference editions."}
  ],
  "items": [
    {
      "id": "mathematics-study-program",
      "collection": "study-programs",
      "code": "PROGRAM",
      "title": "Mathematics study program",
      "summary": "Two interface languages for a 40-course study map. Follow the course descriptions, prerequisites and reading routes; each linked work has its own content language.",
      "status": "published",
      "status_label": "Read online",
      "provenance_label": "Study program · two interface languages",
      "note": "A course map describes the program; it is not a claim that every course reader is complete.",
      "editions": [
        {"id": "mathematics-study-program-en-interface", "language": "en", "content_language": null, "interface_language": "en", "language_label": "English", "register": null, "register_label": null, "format": "Program interface", "url": "https://kokunoyumeto.github.io/program-matematika-indonesia/en/", "link_label": "Open the English program interface"},
        {"id": "mathematics-study-program-id-interface", "language": "id", "content_language": null, "interface_language": "id", "language_label": "Bahasa Indonesia", "register": null, "register_label": null, "format": "Program interface", "url": "https://kokunoyumeto.github.io/program-matematika-indonesia/id/", "link_label": "Open the Indonesian program interface"}
      ]
    },
    {
      "id": "d80-methods-of-algebra-volume-2",
      "collection": "study-programs",
      "code": "D80",
      "title": "Methods of Algebra, Volume 2",
      "summary": "The existing English HTML reader associated with D80. Continue directly into the reader from this library entry.",
      "status": "published",
      "status_label": "Read online",
      "provenance_label": "Course reader · existing English edition",
      "note": "This entry points to the existing edition; the library does not reproduce its text.",
      "editions": [
        {"id": "d80-en-scholarly", "language": "en", "content_language": "en", "interface_language": null, "language_label": "English", "register": "scholarly", "register_label": "Scholarly", "format": "HTML reader", "url": "https://kokunoyumeto.github.io/methods-of-algebra-volume-2-en/", "link_label": "Read Methods of Algebra"}
      ]
    },
    {
      "id": "d100-algebraic-geometry-bridge",
      "collection": "study-programs",
      "code": "D100",
      "title": "Algebraic Geometry Bridge",
      "summary": "A three-book English course reader. Enter through the existing reader home to retain its sequence and navigation.",
      "status": "published",
      "status_label": "Read online",
      "provenance_label": "Course reader · three-book English edition",
      "note": "The reader remains part of the mathematics study program.",
      "editions": [
        {"id": "d100-en-scholarly", "language": "en", "content_language": "en", "interface_language": null, "language_label": "English", "register": "scholarly", "register_label": "Scholarly", "format": "HTML reader", "url": "https://kokunoyumeto.github.io/program-matematika-indonesia/en/courses/D100/reader/", "link_label": "Read Algebraic Geometry Bridge"}
      ]
    },
    {
      "id": "an-03-elliptic-operators",
      "collection": "research-courses",
      "code": "AN-03",
      "title": "Elliptic Operators and Boundary Problems",
      "summary": "An advanced course draft on elliptic operators and boundary problems: 29 draft reading units in the R5B collection.",
      "status": "development",
      "status_label": "In development",
      "provenance_label": "Unofficial AI-written draft · not admitted",
      "note": "Reading link not yet published. Open proof obligations remain.",
      "editions": [{"id": "an-03-en-scholarly-r5b", "language": "en", "content_language": "en", "interface_language": null, "language_label": "English", "register": "scholarly", "register_label": "Scholarly", "format": "Local R5B draft", "url": null, "link_label": null}]
    },
    {
      "id": "sh-02-microlocal-sheaves",
      "collection": "research-courses",
      "code": "SH-02",
      "title": "Microlocal Sheaves",
      "summary": "An advanced course draft on microlocal sheaf theory: 55 draft reading units in the R5B collection.",
      "status": "development",
      "status_label": "In development",
      "provenance_label": "Unofficial AI-written draft · not admitted",
      "note": "Reading link not yet published. Open proof obligations remain.",
      "editions": [{"id": "sh-02-en-scholarly-r5b", "language": "en", "content_language": "en", "interface_language": null, "language_label": "English", "register": "scholarly", "register_label": "Scholarly", "format": "Local R5B draft", "url": null, "link_label": null}]
    },
    {
      "id": "oa-mod-modular-theory",
      "collection": "research-courses",
      "code": "OA-MOD",
      "title": "Modular Theory and Weights",
      "summary": "An advanced course draft on modular theory and weights: 40 draft reading units in the R5B collection.",
      "status": "development",
      "status_label": "In development",
      "provenance_label": "Unofficial AI-written draft · not admitted",
      "note": "Reading link not yet published. Open proof obligations remain.",
      "editions": [{"id": "oa-mod-en-scholarly-r5b", "language": "en", "content_language": "en", "interface_language": null, "language_label": "English", "register": "scholarly", "register_label": "Scholarly", "format": "Local R5B draft", "url": null, "link_label": null}]
    },
    {
      "id": "oa-flow-crossed-products",
      "collection": "research-courses",
      "code": "OA-FLOW",
      "title": "Crossed Products and Flow of Weights",
      "summary": "An advanced course draft on crossed products and the flow of weights: 29 producer lessons and two separately authored bridge units in the R5B collection.",
      "status": "development",
      "status_label": "In development",
      "provenance_label": "Unofficial AI-written draft · not admitted",
      "note": "Reading link not yet published. Open proof obligations remain.",
      "editions": [{"id": "oa-flow-en-scholarly-r5b", "language": "en", "content_language": "en", "interface_language": null, "language_label": "English", "register": "scholarly", "register_label": "Scholarly", "format": "Local R5B draft", "url": null, "link_label": null}]
    },
    {
      "id": "modern-latex-manuscripts",
      "collection": "collected-works",
      "code": "COLLECTION",
      "title": "Modern LaTeX Editions of Mathematics Manuscripts",
      "summary": "A working library of modern, inspectable LaTeX editions and translation drafts of older mathematics and physics manuscripts. The collection provides reading editions, editable sources, coverage maps and provenance records.",
      "status": "source-available",
      "status_label": "Source collection",
      "provenance_label": "Editions & translation drafts · status varies by work",
      "note": "Browse the collection’s own work and edition status records. Languages, completion, original sources and editorial responsibility are specified there for individual works.",
      "source_url": "https://github.com/KokunoYumeto/modern-latex-manuscripts",
      "source_link_label": "Browse works and edition status",
      "source_route_verified_date": "2026-09-21",
      "editions": []
    },
    {
      "id": "ega-reference-editions",
      "collection": "reference-editions",
      "code": "EGA",
      "title": "Éléments de géométrie algébrique",
      "summary": "French source materials and a separately maintained English discovery edition. Choose the repository for the language you want to inspect.",
      "status": "source-available",
      "status_label": "Source repositories",
      "provenance_label": "Reference work · source and discovery-edition repositories",
      "note": "These links open source repositories, not verified complete HTML readers. Consult each repository for coverage, original-source provenance, editorial status and rights.",
      "editions": [
        {"id": "ega-fr-source", "language": "fr", "content_language": "fr", "interface_language": null, "language_label": "French", "register": null, "register_label": null, "variant_label": "Source", "format": "Source repository", "url": "https://github.com/KokunoYumeto/ega-fr", "link_label": "Open the French source repository", "route_verified_date": "2026-09-21"},
        {"id": "ega-en-discovery", "language": "en", "content_language": "en", "interface_language": null, "language_label": "English", "register": null, "register_label": null, "variant_label": "Discovery edition", "format": "Source repository", "url": "https://github.com/KokunoYumeto/ega-en", "link_label": "Open the English discovery repository", "route_verified_date": "2026-09-21"}
      ]
    },
    {
      "id": "fga-reference-editions",
      "collection": "reference-editions",
      "code": "FGA",
      "title": "Fondements de la géométrie algébrique",
      "summary": "A public French source repository for FGA, with its own source records and edition status.",
      "status": "source-available",
      "status_label": "Source repository",
      "provenance_label": "Reference work · French source repository",
      "note": "Repository access does not establish complete coverage or a published HTML reader. Consult its native source, editorial and rights records.",
      "editions": [{"id": "fga-fr-source", "language": "fr", "content_language": "fr", "interface_language": null, "language_label": "French", "register": null, "register_label": null, "format": "Source repository", "url": "https://github.com/KokunoYumeto/fga-fr", "link_label": "Open the French source repository", "route_verified_date": "2026-09-21"}]
    },
    {
      "id": "sga-reference-editions",
      "collection": "reference-editions",
      "code": "SGA",
      "title": "Séminaire de géométrie algébrique",
      "summary": "A reserved directory entry for the SGA volumes and their future registered reference editions and translations.",
      "status": "awaiting-route",
      "status_label": "Public routes pending",
      "provenance_label": "Original reference series · editions to be registered",
      "note": "Volume-specific routes, available languages and editorial attribution are awaiting confirmation. No translation is presented here as the original work.",
      "editions": []
    },
    {
      "id": "stacks-translation-editions",
      "collection": "companion-sources",
      "code": "TRANSLATIONS",
      "title": "Stacks translation editions",
      "summary": "Separately maintained AI translation drafts of the Stacks Project in Simplified Chinese, Japanese and Korean. Select a language to inspect its source repository.",
      "status": "source-available",
      "status_label": "Source repositories",
      "provenance_label": "AI translation drafts · review in progress",
      "note": "These are translations of the Stacks Project, not translations of every unofficial AI extension. Comprehensive expert review is not claimed; coverage, source provenance and rights remain documented by each repository.",
      "editions": [
        {"id": "stacks-zh-hans-source", "language": "zh-Hans", "content_language": "zh-Hans", "interface_language": null, "language_label": "Chinese (Simplified)", "register": null, "register_label": null, "format": "Source repository", "url": "https://github.com/KokunoYumeto/stacks-zh-hans-cn", "link_label": "Open the Chinese source repository", "route_verified_date": "2026-09-21"},
        {"id": "stacks-ja-source", "language": "ja", "content_language": "ja", "interface_language": null, "language_label": "Japanese", "register": null, "register_label": null, "format": "Source repository", "url": "https://github.com/KokunoYumeto/stacks-ja-jp", "link_label": "Open the Japanese source repository", "route_verified_date": "2026-09-21"},
        {"id": "stacks-ko-source", "language": "ko", "content_language": "ko", "interface_language": null, "language_label": "Korean", "register": null, "register_label": null, "format": "Source repository", "url": "https://github.com/KokunoYumeto/stacks-ko-kr", "link_label": "Open the Korean source repository", "route_verified_date": "2026-09-21"}
      ]
    },
    {
      "id": "unofficial-stacks-ai-drafts-r48",
      "collection": "companion-sources",
      "code": "R48",
      "title": "Unofficial Stacks Project AI drafts",
      "summary": "A separate public draft release with a PDF and source materials. The release describes 36 chapters and 3,444 pages; these are release statistics, not course coverage.",
      "status": "download",
      "status_label": "Downloadable release",
      "provenance_label": "Unofficial · AI-generated draft collection",
      "note": "This is not an official Stacks Project edition or the four-course research reader. The source ZIP includes dependencies; a direct .tex companion is not a standalone build target.",
      "source_url": "https://github.com/KokunoYumeto/unofficial-stacks-project-ai-drafts",
      "editions": [{"id": "unofficial-stacks-ai-r48-en", "language": "en", "content_language": "en", "interface_language": null, "language_label": "English", "register": "scholarly", "register_label": "Scholarly", "format": "PDF & source release", "url": "https://github.com/KokunoYumeto/unofficial-stacks-project-ai-drafts/releases/tag/ai-stacks-drafts-r48-illusie-2026-09-13", "link_label": "View the R48 release"}]
    }
  ]
}