Modern LaTeX Editions of Public-Domain Mathematics Manuscripts
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:
[##########] 100/100this landing record remains the broad cumulative surface, with reader PDFs, artifact ZIPs, manifests, and full-repository preservation material. Current main record: 10.5281/zenodo.20435272; earlier broad cumulative record: 10.5281/zenodo.20410262; concept DOI: 10.5281/zenodo.20393488. - EGA working English translation and source package:
[###-------] 30/100 toward complete translated/proofread EGA; [##########] French originals presentEGA 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 also replaces a provisional EGA IV 7.9 placeholder with a direct working translation of the French section on excellent rings and resolution of singularities. The current English reader is a 971-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.20434859. - SGA working English translation:
[##########] SGA 4 current working reader complete; [###-------] SGA 5 delivered segments assembled pending audit; [#######---] SGA 6 current pass through Expose XIV end; [#---------] SGA 7-I opening presentThe current SGA record contains SGA 1-3 English/source snapshots, a complete current SGA 4 English working reader through Exposes I-XIX, separate SGA 4 expose-level reader PDFs, an SGA 5 delivered-segments reader explicitly marked as pending audit against the 496-page French reference scan, an SGA 6 current reader through Expose XIV end pending audit against the 702-page French reference scan, and an SGA 7-I opening reader. SGA 1-7 French reference PDFs are included for checking. Current record: 10.5281/zenodo.20436860. The public summary records source packets through local source-packet sequence 033; current public readers include SGA 5 delivered segments as a 141-page checking reader and SGA 6 through Expose XIV end as a 257-page checking reader. - Non-European and multilingual mathematical manuscripts:
[#########-] 94/100 for the current multilingual working release; broader corpus expansion continuesconsolidated repaired 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 current repaired release contains 66 reader PDFs, 214 editable TeX files, regenerated component PDFs, repair notes, text-sweep reports, and two large additional source-refinement packets preserved as neutral provenance ZIPs; the latest editorial repair replaced all 66 top-level reader PDFs from the reviewed public-reader package, and two sparse top-level reference readers were replaced with complete public-domain scan PDFs; duplicate alias PDFs were removed from the reader surface. This is the main front door for the non-European/multilingual corpus; the Chinese, Indian/Sanskrit, Islamic/Arabic, and historical-reference records below are focused download slices of the same corpus rather than competing project pages. Current record: 10.5281/zenodo.20436420. - Chinese mathematical classics:
[########--] 80/100focused 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:
[########--] 80/100focused 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:
[########--] 80/100focused 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:
[#######---] 70/100focused 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:
[######----] 63/100author page with original-language modern LaTeX readers for Lehrbuch der Algebra Volumes I and III, the current Volume II English translation reader through section 124, including the icosahedral group, finite linear fractional groups, and the general theory of the quintic, plus a separate Volume I English draft on inverse substitutions, transformed substitutions, transposed substitutions, permutation substitutions, invariants, and finite binary polyhedral groups. TeX sources, component PDFs, rendered translation pieces, and provenance are preserved in the artifact ZIP. Current record: 10.5281/zenodo.20436635. - Emmy Noether:
[#####-----] 50/100author page with a selected mathematical-papers modern LaTeX draft, with collected-volume wrapper pages removed, and current English translation drafts covering invariant theory, finite-group invariant theorems, absolute irreducibility, formal variational calculus, polynomial ideals and resultants, elimination theory, abstract ideal theory, Hilbert numbers, group characters, hypercomplex quantities, and representation-theoretic material. Current record: 10.5281/zenodo.20436637. - Deligne papers:
[######----] 60/100dedicated 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 continuesauthor 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:
[#######---] 70/100author 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, Dirichlet, Gauss, Weber, and Noether: classical algebra and arithmetic shelf:
[######----] 60/100legacy cross-author shelf for selected modern LaTeX working drafts. Author-specific pages supersede duplicate front-facing Weber and Noether material where those pages are cleaner, but this shelf remains useful as a compact bulk record for the broader classical algebra/arithmetic cluster and for work not yet split into author pages. Current record: 10.5281/zenodo.20418609. - Minkowski, Hecke, Landau, Steinitz, Hensel, Oka, Hausdorff, Grassmann, and Killing:
[######----] 60/100author-cluster record for cleaner reader PDFs and source/provenance artifacts; duplicate/mislabelled surface material consolidated, and obvious modern collected-volume wrappers removed from the public PDFs. 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; internal run names are kept out of public titles and reader PDFs except where raw provenance archives preserve as-received workflow material.
Raw source preservation update. The current raw working inputs 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
Files
10 Reader PDF - Al-Kashi - Miftah al-Hisab.pdf
Files
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