# PDF visual review

Status: **PASS**

Reviewed file: `deliverables/490d_Chronological_Families_Explanation_C1431_Print.pdf`

- Pages: 22.
- Bytes: 734454.
- SHA-256: `c3d0840be081023aa4958b960fa41f4935c1d6e996a80a38ca67d7562f0372de`.

All 22 pages were visually inspected in contact sheets. The new chapter, “How the three inverse families connect internally,” was inspected at full-page resolution on pages 14–16. Its six-construction comparison table, SP branch table, three bridge rows, reversal equations, boxed Covenant-Key equation, and final sequence of operations are legible and complete.

No necessary layout corrections were found: no clipped or overlapping text, broken equations, missing table rows, unreadable glyphs, or isolated section headings. A supplementary text-bounds check found zero off-page spans. Ordinary prose continues across some page boundaries; the new chapter's tables and displayed equations remain whole.

This is visual QA only. It does not add or renumber research steps and does not independently certify the source claims or arithmetic. No PDF or manuscript edits were made.