Modern LaTeX Editions of Public-Domain Mathematics Manuscripts
Abstract
This is the broad reading guide and preservation collection for modern LaTeX transcriptions and translations of historical mathematics. It brings together European, Chinese, Indian and Islamic mathematical texts, original-language editions, translations, editable sources, source witnesses, editorial apparatus and checking records. Historical authors remain the authors of the mathematics; modern editorial and model credits belong to the individual editions. The collection has mixed quality and completeness. Some bounded works have completed documented source checks; large working readers, partial checkpoints and known defective drafts are also preserved. Start with the PDF reading guide in the preview. It identifies the stronger current reading paths, explains their actual coverage and review limits, and links the exact current project editions. A successful build, an attractive PDF or a filename containing Complete is not an accuracy certificate. Useful starting points: Gordan's Thetafunctionen and De linea geodetica, Dirichlet Band I Paper IV, Sylvester Volume I, the source-available Steinitz corpus, Kneser's Variationsrechnung, Bianchi's Differential Geometry I, and the FAC and GAGA editions have documented bounded scopes and checking evidence. The guide gives the qualifications for each. Current Noether, EGA, SGA, Deligne and Weber readers remain available with their individual correction and review histories. Gauss is ongoing: the separate Gauss record now includes the dated source, literal English and editorial collections. Band I's latest local review reaches physical page 327 but the assembled reader retains a gap at pages 80-231. Band II's principal reviewed reader reaches physical page 453; pages 454-457 remain a draft. Neither volume is complete. The current production priority is to complete I and II, including missing coverage, ordered integration and final reviews, and then continue to later Gauss volumes. Known limitations remain visible: Cayley files with substantial symbol and text mismatches remain repair/provenance material, not recommended source-faithful editions. Maxwell, Gibbs, Dedekind and Poincare retain explicit partial coverage or gaps. The al-Battani guide points to the direct corrected notes and records the older package mismatch. Broad multilingual coverage is not a claim of uniform source checking or native-human review. Source statements, translations and substantive editorial corrections must remain identifiable. Edition update, 3 October 2026: the new 13-page guide reconciles 33 public project records, including newer dedicated EGA and SGA language editions and the new Gauss supplement. Its companion ZIP contains editable prose, a reproducible PDF recipe, status data, observed public metadata and file inventories. The 98 files of the preceding landing edition are retained byte-for-byte. Older July SGA 2 checkpoints and bulk preservation archives remain historical; current satellite readers are linked in place rather than duplicated into this landing record. The guide reports published evidence and disclosed limitations; it is not a new independent review of every source page, translation or theorem. Original research, Lean formalization and workflow/methodology records have separate entries and separate evidentiary scope. The canonical Split-Zero research family remains 10.5281/zenodo.22678085. Artifact-specific rights and human-source attribution remain in force; this landing edition grants no new rights over underlying texts. Current project editions observed on 3 October 2026 Gauss - 2026-10-03 Gauss I and II dated working-material supplement Noether - 2026-09-05 r40: German ED0028 cumulative primary-source restoration Weber - Working edition, 31 August 2026 Frobenius - 2026-06-24 RA05 recursive audit refresh Kneser - 2026-08-14 trilingual successor; independently accepted Chinese reader and open-Fandol source master Sylvester - 2026-08-24 p. 59/p. 73 authority-corrected source reader al-Battani - 2026-09-26 S02 v009: Nallino Part I printed pp. 1-53 (S02 partial, 53 of 109 pages) Bianchi - 2026-08-20 complete Italian, English, and Simplified-Chinese readers for Lezioni di geometria differenziale; transformation-groups materials unchanged through manuscript page 116 Gordan - 2026-08-21 Thetafunctionen and De linea complete repaired editions Steinitz - 2026-08-24 corrected source-available German corpus Gibbs - 2026-06-24 Gibbs Volume I Paper 3 continuation through printed page 134 Maxwell - 2026-06-24 IA1873 pp.001-079 source-witnessed working tranches SGA French - 2026-09-27-sga7i SGA English - 2026-10-03 SGA Spanish - 2026-09-23-r20 FAC assessment - 2026-08-24 FAC R5 terminal provenance correction GAGA - 2026-08-24 GAGA R3 anonymous readback compatibility correction Deligne - 2026-09-30 — D016 révision 26 / revision 26 Chinese mathematics - 2026-07-02 GitHub correction-route metadata refresh Indian mathematics - 2026-05-29 current corpus release Islamic mathematics - 2026-05-29 current corpus release Dedekind - 2026-07-02 DR17 status caveat metadata refresh Dirichlet - 2026-09-21 Band I Paper IV complete source-audited edition Riemann - 2026-05-28 current Riemann author record Poincare - 2026-06-13 dedicated Poincare Tome I working packages through v1_26 Cayley - 2026-06-25 strengthened accuracy caveat for draft/provenance Cayley material Methodology - 2026-09-08 OLP-0198-R2 public status checkpoint Workflow - 2026-08-04 EGA p.142 replication and pre-Stacks controls Lean sidecars - 0.3.0 Split-zero programme - 2026-09-25 consolidated original-series edition + 2026-09-28 papers by Claude (Opus 5.5) EGA - EGA-II-p36-R204-C38A EGA French - 2026-10-02-r14 EGA English - 2026-10-02-r23 Current sources, project maps and correction channels: Modern LaTeX Manuscripts on GitHub. Use the exact version links for reproducible citations and each project's stable concept DOI for later editions.