Dedicated James Joseph Sylvester record for the Modern LaTeX Editions of Mathematics Manuscripts project. This record contains source-checked modern-LaTeX working editions of Sylvester's Collected Mathematical Papers, with reader PDFs, TeX, source-scan witnesses, page images, machine-readable index layers, and package audits.Status at a glance. Volume I is currently represented by a source-checked working edition through book page 608. These are working editions, not final critical editions; source scans remain the authority. OCR and machine-index layers are locator/check aids unless the package audit promotes a specific range.Latest update. Replaces the latest public reader surface through book page 576/594 with a reader and source package through book page 608. The new range covers book pages 595-608, completing Papers 59 and 60. The package audit reports all formula/table-like displays represented in TeX, no screenshot substitutions, no placeholders, no includegraphics in the new range, and TeX arrays for the Ferrers partition arrays and ternary-period table. Next continuation starts at book page 609, Paper 61.Corrections and collaboration. Public working mirror and issue/pull-request surface: https://github.com/KokunoYumeto/modern-latex-manuscripts.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.