Modern LaTeX Editions of Public-Domain Mathematics Manuscripts

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. Landing file surface: The main record is a landing and preservation surface. Older broad Cayley and Weber direct-reader drafts have been demoted from the latest file list because cleaner author/corpus records now provide the front-facing reader surfaces. The material remains preserved through the full repository preservation ZIPs and prior Zenodo versions. GitHub mirror: Forkable reader PDFs, source TeX where practical, and current manifests are mirrored at https://github.com/KokunoYumeto/modern-latex-manuscripts. Zenodo remains the archival DOI surface and large-file/provenance backstop. Workflow and replication packet. The direct file Project Workflow and Replication Notes.pdf summarizes the practical pipeline used here: review system web project sessions help identify and repair works; Codex handles local indexing, scripting, auditing, Zenodo publication, and GitHub mirroring; transcription system K2.6 agent swarms have supplied large first-pass TeX transcriptions; review system Pro sessions perform review, repair, and translation; and review system Code has been used as a local LaTeX-repair and translation worker. The current standalone workflow record (10.5281/zenodo.20672843; all-version workflow DOI 10.5281/zenodo.20461174) and the accompanying Workflow Replication Packet - Scripts, Tooling Notes, and Manifests.zip contains sanitized example scripts, tool lists, metadata templates, OCR notes, and operational notes for people who want to reproduce or adapt the workflow. Raw/source/provenance role. This landing record is also the stable bulk-preservation lane for the project. Large raw source drops, page-image working archives, superseded drafts, full-repository preservation chunks, workflow notes, and broad provenance bundles are kept here under the all-version concept DOI 10.5281/zenodo.20393488. Author and corpus satellite records should stay reader-facing and comparatively lean, linking back here instead of re-uploading multi-gigabyte raw archives on every update. 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: [###-------] substantial working translation and source package; [##########] 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 current record includes a broad EGA working reader, a separate 514-page EGA IV sections 1-21 working reader, all eight NUMDAM French originals as direct top-level PDFs, and TeX/source packets in ZIP artifacts. All-version record: 10.5281/zenodo.20414353. SGA working English translation: [#####-----] corpus-wide working translation; active repair and audit stream for SGA 5/6/7 Current SGA record with coherent cumulative readers, French references, source artifacts, repair packets, and explicit compression/synchronization caveats for the working translation branches. Latest repair027 is a compact cumulative SGA5/SGA6 French-output refresh containing French TeX/PDF only. It omits the source-indexed/page-expanded audit PDF; repair025 remains preserved in a previous Zenodo version as the relevant SGA5 audit provenance. SGA5 changes are small relative to repair026; SGA6 TeX/PDF are materially refreshed relative to repair026. SGA5 English remains unsynchronized; SGA6/SGA7 caveats remain explicit. Latest published record: 10.5281/zenodo.20673700; all-version record: 10.5281/zenodo.20410947. Non-European and multilingual mathematical manuscripts: [#########-] reader-facing multilingual release; bulk provenance on this landing record Consolidated release for Chinese, Indian/Sanskrit, Islamic/Arabic, and historical-reference mathematical works. The satellite is now intentionally lean: readable work-level PDFs and compact current TeX/work packets live there, while large raw archives and broad provenance remain on this landing/preservation DOI. Latest published record: 10.5281/zenodo.20586401; all-version record: 10.5281/zenodo.20410957. 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.20415752. 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.20415755. 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.20415770. 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.20415777. Heinrich Weber: [######----] Author page with source-checked German/English repair stream for Lehrbuch der Algebra, broad older drafts, TeX sources, component PDFs, and provenance artifacts. Batch132 repairs Volume II sections 120 and 128 and reports the active 112-row repair ledger at 73 closed / 39 open, Tier-3 rows 11/11 closed. Latest published record: 10.5281/zenodo.20673435; all-version record: 10.5281/zenodo.20412153. Emmy Noether: [######----] curated numbered-paper surface with active multilingual branches Author page with cumulative German/source and English reader PDFs, 43 standalone English paper PDFs, compact German/source, Spanish, Japanese, French, and Simplified Chinese packages, the RA23 display-layout correction package, and RA25-RA34 Paper 02 source-critical symbol/body/table audit packages. RA29 closes the Paper 02 body through printed pp.84-90 at the current page-level standard; RA30 adds the final-summary/table-plate audit package; RA31 source-checks Tabelle I on printed/source p.91; RA33/RA34 source-check Tabelle II rows 0-23 on printed/source p.92 at plate-row level. Final Paper 02 equation-tag/display-layout inventory and multilingual propagation remain open. Latest published record: 10.5281/zenodo.20673808; all-version record: 10.5281/zenodo.20412587. Deligne papers: [##########] 90/90 original-language reference PDFs preserved; English/French working translations continue Dedicated Deligne record with original-language references, English/French working drafts where available, paper-level sidecars, render checks, and provenance material. Latest published record: 10.5281/zenodo.20617786; all-version record: 10.5281/zenodo.20410853. Carl Friedrich Gauss: [#######---] 3,000+ pages of modern-LaTeX working drafts available; detailed proofreading continues dedicated Gauss author page with cumulative Werke band readers and source artifacts. The current local pipeline has addressed several known mathematical transcription defects and preserves source material for continued checking. All-version record: 10.5281/zenodo.20410934. 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.20429778. Cayley, Dedekind, and Dirichlet: classical algebra and arithmetic shelf: [###-------] Cayley draft/provenance retained; [#########-] broader source material preserved focused shelf for modern LaTeX working drafts by Cayley, Dedekind, and Dirichlet. Cayley material on this shelf is retained as draft/provenance and repair material unless a later source audit explicitly re-promotes a specific range. The artifact ZIP preserves the broader Cayley source inventory, including rendered slice PDFs, TeX chunks, source trees, and audit material. Dedekind Bands I-III and one Dirichlet selected-works grouping remain available as working drafts. All-version record: 10.5281/zenodo.20414787. Additional selected-author cluster: [######----] Mixed working/source-witness backstop shelf for routed authors not yet split into standalone records. Poincare and Frobenius now have preferred standalone records; Kneser p0206-p0219 remains the current Kneser continuation in the mixed shelf. Standalone Poincare: 10.5281/zenodo.20673462. Standalone Frobenius: 10.5281/zenodo.20673445. Mixed selected-author cluster: 10.5281/zenodo.20672984; all-version record: 10.5281/zenodo.20411006. Ferdinand Georg Frobenius: [#######---] Dedicated selected group-character German/English working package. QA03 reports 10/10 selected items and 221/221 tracked source-intake pages, with 241 merged source-scan pages. Latest published record: 10.5281/zenodo.20673445. Henri Poincare: [#####-----] Dedicated Oeuvres, Tome I French/English working package stream through poincare_v1_26.zip; explicitly non-continuous because local package artifacts v1_03-v1_07 and v1_22-v1_23 are missing. Latest published record: 10.5281/zenodo.20673462. 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 or maintainer-certified mathematical editions. Technical PDF audits check whether files open and extract text; they do not prove mathematical correctness. Terms such as complete, strict, source-checked, or critical in older filenames can be legacy package labels or structural coverage labels rather than current certification. Some drafts still need layout repair, source comparison, theorem-number checking, diagram/table verification, and human proofreading. Availability is preserved while cleaner organized versions are built. Corrections and contributions. Source comparisons, LaTeX fixes, translation corrections, and reader-facing issue reports can be suggested through the GitHub mirror via issues or pull requests: https://github.com/KokunoYumeto/modern-latex-manuscripts.本记录为一项进行中的开源项目的公开首页，该项目旨在对老旧数学与物理学手稿制作可检视的现代LaTeX版本及译本。项目收集公有领域扫描件与原始佐证材料，将其转录为TeX格式，编译为可读PDF文档，按作者/作品或连贯语料库进行组织，并附带源工件发布，以便读者检视、修正、派生并延续该项目工作。 当前项目总览 主语料库与批量保存记录：[##########] 100/100 本首页记录仍作为整体累积汇总界面，包含读者用PDF文档、工件ZIP压缩包、清单文件及完整仓库保存材料。当前主记录：10.5281/zenodo.20415117；早期整体累积记录：10.5281/zenodo.20410262；概念DOI：10.5281/zenodo.20393488。 EGA英语译本与源包：[###-------] 30/100 目标为完成完整的译校版EGA；[##########] 现存EGA I-II法语原版主要继承自社区译本；当前项目新增内容包括EGA 0_IV第15至23节与EGA IV第1至21节的实质性工作译本。最新EGA更新还将临时占位的EGA IV 7.9节替换为法语原节关于优秀环与奇点消解的直接工作译本。当前英语读者版为948页的工作PDF，所有8份NUMDAM法语原版均单独作为顶级PDF文档提供，TeX/源数据包则包含在ZIP工件中。当前记录：10.5281/zenodo.20428073。 SGA工作英语译本：[##########] SGA 4当前工作读者版已完成；[##########] SGA 5当前工作读者版已完成；[####------] SGA 6当前工作读者版已更新至Expose VIII第3.4节。当前SGA记录包含SGA 1-3的英语/源快照、完整的SGA 4英语工作读者版（至Exposes I-XIX）、单独的SGA 4报告级读者PDF文档、完整的SGA 5英语工作读者版（至SGA 5全书末尾），以及更新至Expose VIII第3.4节的SGA 6英语工作读者版。附带SGA 1-7法语参考PDF以供校验。公开读者PDF按连贯卷/报告进行组织，TeX/源/佐证材料则包含在ZIP工件中。发布前的最终本地校验：所有36份顶级分段PDF均通过pdfinfo检查，SGA 6读者版为153页，顶级PDF文本扫描未发现内部流程/工具标签，所有18个ZIP工件均通过完整性校验。当前记录：10.5281/zenodo.20428527。 非欧洲语系与多语言数学手稿：[#########-] 94/100 对应当前多语言工作发布版本；项目正持续拓展语料库，为中文、印度/梵语、伊斯兰/阿拉伯语及历史参考类数学作品整理经过清理的统一发布包，按组合读者PDF、直接作品级PDF、源/佐证/校验ZIP工件及公开JSON摘要进行组织。当前修复版发布包包含66份读者PDF、214个可编辑TeX文件、重新生成的组件PDF、修复说明与文本扫描报告；最新更新将索引、组合现代中文读者版、组合阿拉伯语读者版及杨辉阿拉伯语读者版替换为经过验证的更清晰版本。本页面为非欧洲/多语言语料库的主入口；下方的中文、印度/梵语、伊斯兰/阿拉伯语及历史参考类记录均为同一语料库的聚焦下载切片，而非独立的项目页面。当前记录：10.5281/zenodo.20428559。 中国古典数学典籍：[########--] 80/100 聚焦语料切片，涵盖《九章算术》（Jiuzhang Suanshu / Nine Chapters）、李冶、秦九韶、孙子、杨辉与朱世杰相关的中国数学作品，提供分语言读者版与源工件。当前记录：10.5281/zenodo.20421647。 印度与梵语古典数学典籍：[########--] 80/100 聚焦语料切片，涵盖阿耶波多（Aryabhata）、婆什迦罗二世（Bhaskara II）、婆罗摩笈多（Brahmagupta）及相关梵语/印度数学作品，提供原语言草稿、译本与源工件。当前记录：10.5281/zenodo.20421650。 伊斯兰与阿拉伯数学文本：[########--] 80/100 聚焦语料切片，涵盖阿尔·卡西（al-Kashi）、花拉子米（al-Khwarizmi）、图西（al-Tusi）、奥马尔·海亚姆（Omar Khayyam）、切斯特的罗伯特（Robert of Chester）/卡尔平斯基（Karpinski）、罗森（Rosen）、鲁斯卡（Ruska）及相关阿拉伯/伊斯兰数学作品，提供原语言草稿、译本与源工件。当前记录：10.5281/zenodo.20421656。 非欧洲数学历史参考文本：[#######---] 70/100 聚焦参考切片，涵盖赛义德·安达卢西（Said al-Andalusi）、穆卡达西（al-Muqaddasi）、伊本·纳迪姆（Ibn al-Nadim）、伊本·基夫提（Ibn al-Qifti）、史密斯-卡尔平斯基（Smith-Karpinski）及相关用于术语与历史比对的佐证材料。当前记录：10.5281/zenodo.20421657。 海因里希·韦伯（Heinrich Weber）：[######----] 63/100 作者页面，包含《代数教程》（Lehrbuch der Algebra）第I、III卷的原语言现代LaTeX读者版，当前第II卷英语译本读者版已更新至第58-69节，涵盖二十面体群与有限线性分式群，另有单独的第I卷英语草稿，内容涉及逆置换、变换置换、转置置换、排列置换、不变量及有限二元多面体群。TeX源文件、组件PDF、编译后的译稿及佐证材料均保存在工件ZIP压缩包中。当前记录：10.5281/zenodo.20428524。 埃米·诺特（Emmy Noether）：[#####-----] 50/100 作者页面，包含精选数学论文的现代LaTeX草稿，已移除合集卷的封面页，当前英语译稿涵盖不变量理论、有限群不变量定理、绝对不可约性、形式变分演算、多项式理想与结式、消元理论以及抽象理想理论的开篇内容。当前记录：10.5281/zenodo.20428522。 德利涅论文集（Deligne papers）：[######----] 60/100 专属记录，包含德利涅论文的PDF文档与工作译本/源材料，该记录单独保存，以便在需要时独立进行修订或移除。当前整洁版记录：10.5281/zenodo.20414959。 凯莱、戴德金、狄利克雷、高斯、韦伯与诺特：经典代数与算术合集：[######----] 60/100 跨作者遗留合集，包含精选的现代LaTeX工作草稿。当韦伯与诺特的专属页面更整洁时，该页面将替代重复的公开页面，但本合集仍可作为更广泛的经典代数/算术集群以及尚未拆分至作者页面的作品的紧凑批量记录使用。当前记录：10.5281/zenodo.20418609。 闵可夫斯基、赫克、兰道、施泰尼茨、亨塞尔、冈洁、豪斯多夫、格拉斯曼与基灵：[######----] 60/100 作者集群记录，包含更整洁的读者PDF与源/佐证工件；已合并重复/标签错误的公开页面材料，并从公开PDF中移除明显的现代合集卷封面。当前记录：10.5281/zenodo.20416839。 工作流程佐证。网络评审会议会识别老旧公有领域或其他合适的作品，并优先安排转录与翻译工作；欢迎读者推荐作品或指出更优质的公开PDF/扫描件。本地Codex流程会下载并索引扫描件与源数据包，创建工作文件夹、校验文件、组织公开发布包，并通过Zenodo API进行发布。大规模机器辅助转录系统将扫描件转换为TeX草稿，这些草稿作为源/佐证工件保存。网络/专业评审会对TeX文件进行校验、修复与翻译。公开内容按作者、作品或连贯语料库进行组织；内部流程名称不会出现在公开标题与读者PDF中，除非原始佐证档案保留了接收时的工作流程材料。 文件组织。顶级PDF文档为面向读者的文件，用于浏览与直接下载。ZIP压缩包包含TeX/源材料、适当情况下的源扫描件或佐证材料、OCR文本、佐证信息、清单文件、校验输出与修复队列。当前正按作者或连贯语料库拆分记录，而本主记录仍作为单一首页与批量保存界面。 连贯性说明。冗余记录将被保守处理：更整洁的作者/语料库页面将作为推荐的公开入口，而老旧的宽泛合集将保留为保存界面，直至其内容被完全替代、校验并关联。此举既避免了工作成果丢失，又使公开档案的浏览体验逐步优化。 质量说明。本项目成果均为学术工作草稿，而非最终审定版。PDF技术校验仅检查文件能否打开与提取文本，无法验证数学内容的正确性。部分草稿仍需进行版式修复、源文件比对、定理编号校验与人工校对。在构建更整洁的组织化版本期间，现有可用版本将持续保留。