There is a newer version of the record available.

Published May 29, 2026 | Version 2026-05-29 landing refresh: SGA 20441206, non-European 20441309, classical/Cayley 20441561, Noether 20441640, and Weber 20441673
Dataset Open

Modern LaTeX Editions of Public-Domain Mathematics Manuscripts

  • 1. Independent

Description

This record is the public front page for an ongoing open project to produce modern, inspectable LaTeX editions and translations of older mathematics and physics manuscripts. Public-domain scans and source/reference materials are collected, transcribed into TeX, checked into readable PDFs, organized by author/work or coherent corpus, and published with source artifacts so readers can inspect, correct, fork, and continue the work.

Current project map.

  • Main corpus and bulk preservation record: [##########] 100/100 this landing record remains the broad cumulative surface, with reader PDFs, artifact ZIPs, manifests, and full-repository preservation material. Latest version: this Zenodo record page; concept DOI: 10.5281/zenodo.20393488; earlier broad cumulative record: 10.5281/zenodo.20410262.
  • EGA working English translation and source package: [###-------] 30/100 toward complete translated/proofread EGA; [##########] French originals present EGA I-II are largely inherited from the community translation; current project additions include EGA 0_IV sections 15 through 23 and EGA IV sections 1 through 21 as substantive working translations. The latest EGA update refreshes the compiled reader after newer EGA IV continuation edits. The current English reader is a 979-page working PDF, with all eight NUMDAM French originals included separately as direct top-level PDFs and TeX/source packets in ZIP artifacts. Current record: 10.5281/zenodo.20440845.
  • SGA working English translation: [#####-----] corpus-wide working translation; SGA 4 is the largest current compiled reader; SGA 5-7 are active partial assemblies Current SGA record with coherent cumulative readers and source artifacts. Top-level readers include SGA 1-3 English/source snapshots, SGA 4 as a 484-page current working reader, SGA 5 as a 133-page current working draft from available segments, SGA 6 as a 231-page current working draft, SGA 7-I as a 106-page current working draft, and a separate 50-page SGA 7-I continuation through Expose IX section 6.6. French reference PDFs for SGA 1-7 remain included for checking. Current record: 10.5281/zenodo.20441206.
  • Non-European and multilingual mathematical manuscripts: [#########-] working multilingual release with targeted al-Kashi/al-Khwarizmi repairs; broader corpus expansion continues Consolidated release for Chinese, Indian/Sanskrit, Islamic/Arabic, and historical-reference mathematical works, organized as combined reader PDFs, direct work-level PDFs, source/provenance/audit ZIP artifacts, and a public JSON summary. The latest update promotes five targeted al-Kashi and al-Khwarizmi reader replacements from a font/render repair pass, while holding other Arabic/transliteration components for further repair rather than certifying them prematurely. Current record: 10.5281/zenodo.20441309.
  • Chinese mathematical classics: [########--] 80/100 focused corpus slice for Chinese mathematical works including Jiuzhang Suanshu / Nine Chapters, Li Ye, Qin Jiushao, Sunzi, Yang Hui, and Zhu Shijie material, with language-separated readers and source artifacts. Current record: 10.5281/zenodo.20435670.
  • Indian and Sanskrit mathematical classics: [########--] 80/100 focused corpus slice for Aryabhata, Bhaskara II, Brahmagupta, and related Sanskrit/Indian mathematical works, with original-language drafts, translations, and source artifacts. Current record: 10.5281/zenodo.20435677.
  • Islamic and Arabic mathematical texts: [########--] 80/100 focused corpus slice for al-Kashi, al-Khwarizmi, al-Tusi, Omar Khayyam, Robert of Chester/Karpinski, Rosen, Ruska, and related Arabic/Islamic mathematical works, with original-language drafts, translations, and source artifacts. Current record: 10.5281/zenodo.20435687.
  • Historical reference texts for non-European mathematics: [#######---] 70/100 focused reference slice for Said al-Andalusi, al-Muqaddasi, Ibn al-Nadim, Ibn al-Qifti, Smith-Karpinski, and related contextual reference texts used for terminology and historical comparison. Current record: 10.5281/zenodo.20435690.
  • Heinrich Weber: [########--] 80/100 author page with original-language modern LaTeX readers for Lehrbuch der Algebra Volumes I and III, plus English translation drafts. The current Volume II English reader runs through section 194, with the next continuation point at section 195. A separate Volume I English draft is also included, along with TeX sources, component PDFs, rendered translation pieces, and provenance in the artifact ZIP. Current record: 10.5281/zenodo.20441673.
  • Emmy Noether: [########--] 80/100 author page with a selected mathematical-papers modern LaTeX draft and a current English translation reader of 261 pages. The translated material includes invariant theory, finite-group invariant theorems, rational representation of invariants, absolute irreducibility, formal variational calculus, polynomial ideals and resultants, elimination theory, abstract ideal theory, Hilbert numbers, group characters, hypercomplex quantities, the principal genus theorem, split crossed products and maximal orders, ideal differentiation and the different, cyclic applications, and the Kapferer/Noether algebraic-functions multiplicity continuation. Current record: 10.5281/zenodo.20441640.
  • Deligne papers: [######----] 60/100 dedicated record for Deligne paper PDFs and working translation/source material, kept separate so it can be revised or removed independently if needed. Current clean record: 10.5281/zenodo.20414959.
  • Carl Friedrich Gauss: [########--] 80/100 for currently assembled reader drafts; broader Werke completion continues author page for selected Werke volumes and an individual-papers grouping as modern LaTeX working drafts. The clean author record has eight direct reader PDFs: Bands I, I alternate, II, III, VI, VII, XI Part I, and individual papers, plus TeX/source/component/audit artifacts in a ZIP. Current record: 10.5281/zenodo.20433382.
  • Bernhard Riemann: [#######---] 70/100 author page for selected mathematical papers and a broader Gesammelte Werke complete-draft reader, with TeX/source/provenance artifacts. Current record: 10.5281/zenodo.20434317.
  • Cayley, Dedekind, and Dirichlet: classical algebra and arithmetic shelf: [########--] 80/100 for Cayley per-volume reader availability; broader proofreading continues focused shelf for modern LaTeX working drafts by Cayley, Dedekind, and Dirichlet. The latest update replaces the broken Cayley surface with clean per-volume reader PDFs for front matter and Volumes I-VII and IX-XIII, preserving TeX sources and audit notes in the artifact ZIP. Volume VIII and two internal Cayley gaps remain explicit repair targets. Gauss, Weber, and Noether have separate author records and are no longer duplicated here. Current record: 10.5281/zenodo.20441561.
  • Minkowski, Hecke, Landau, Steinitz, Hensel, Oka, Hausdorff, Grassmann, and Killing: [######----] 60/100 author-cluster record for cleaner reader PDFs and source/provenance artifacts; duplicate/mislabelled surface material consolidated and reader PDFs organized for direct browsing. Current record: 10.5281/zenodo.20416839.

Workflow provenance. Review sessions identify and prioritize older public-domain or otherwise suitable works for transcription and translation; readers are welcome to suggest works or point to better public PDFs/scans. Local archive tooling downloads and indexes scans and source packets, prepares working folders, audits files, organizes public releases, and publishes through the Zenodo API. Large-scale machine-assisted transcription systems convert scans to TeX drafts, which are preserved as source/provenance artifacts. Review passes check, repair, and translate the TeX. Public organization is by author, work, or coherent corpus; reader-facing files use author/work/corpus titles, while provenance archives preserve source material for reconstruction.

Full repository preservation update. The current working inputs and source packets are included directly on this already-linked original/main record as ten chunked ZIP files, plus a manifest and README. There is no separate public raw-source DOI. These are provenance/backstop files for reconstruction and continuation; the reader-facing records remain organized by author or corpus.

File organization. Top-level PDFs are reader-facing files intended for browsing and direct download. ZIP files contain TeX/source material, source scans or reference material where appropriate, OCR text, provenance, manifests, audit outputs, and repair queues. Records are being split by author or coherent corpus while this main record remains the single landing page and bulk preservation surface.

Coherence note. Redundant records are being handled conservatively: cleaner author/corpus pages become the recommended public entry points, while older broad shelves are retained as preservation surfaces until their contents are fully superseded, checked, and linked. This avoids losing work while making the front-facing archive progressively easier to browse.

Quality note. These are working scholarly drafts, not final critical editions. Technical PDF audits check whether files open and extract text; they do not prove mathematical correctness. Some drafts still need layout repair, source comparison, theorem-number checking, and human proofreading. Availability is preserved while cleaner organized versions are built.

Notes

Front page for the modern LaTeX manuscript project. Current highlighted records include EGA 20440845, SGA 20441206, non-European multilingual manuscripts 20441309, Weber 20441673, Noether 20441640, Gauss 20433382, Riemann 20434317, Cayley-Dedekind-Dirichlet classical shelf 20441561, and the broad cumulative landing/preservation surface under concept DOI 10.5281/zenodo.20393488.

Files

10 Reader PDF - Al-Kashi - Miftah al-Hisab.pdf

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