Emmy Noether: Modern LaTeX Drafts and English Translation Working Drafts

Dedicated Emmy Noether record for the Modern LaTeX Editions of Mathematics Manuscripts project. The top-level PDFs expose source-checkable German modern LaTeX, English high-fidelity translations, and current multilingual translation pilots. Project coordination and correction proposals are handled through the public GitHub repository: modern-latex-manuscripts. Status at a glance. Numbered-paper German/English stream: Papers 1-43 complete and audited, with the Paper 34 product-table restoration preserved. Spanish/Japanese stream: cumulative readers are complete through Paper 43 and are being recursively scan-audited/backfilled against the German witnesses. French/Simplified Chinese are checkpoint streams rather than complete corpora; they should be cited as work-in-progress multilingual checkpoints, not as complete Noether corpora. Source/artifact preservation: TeX, source-scan witnesses, audit notes, build logs, render checks, and glossary/methodology deltas are preserved in ZIP artifacts. Latest update. Replaces the earlier French/Simplified Chinese Paper 17 section 1-4 checkpoint ZIP with N_FRZH_P17s05_07_20260609.zip. The new packet carries the French/Simplified Chinese checkpoint through Paper 17 section 7, adding sections 5-7 while preserving prior section 1-4 body/cumulative material in the package. Source pages 1-8 of the Paper 17 sections 5-9 scan witness were rendered and checked first; section 8 begins on scan page 9 and is intentionally excluded. The package includes French and Simplified Chinese TeX/PDF, cumulative PDFs through Paper 17 section 7, German/English controls, Spanish/Japanese context, scan-map and machine-readable JSONL/CSV ledgers, formulas/footnotes/tables-diagrams inventories, render checks, and checksums. The recorded audit reports 70 formula rows across FR/ZH, 10 footnote rows across FR/ZH, no tables/figures/arrow diagrams in the tranche, no placeholders, and zero overfull/underfull/undefined-reference diagnostics. Cumulative French is reported at 187 pages and cumulative Simplified Chinese at 159 pages. Next FR/ZH continuation point: Paper 17 section 8.