# Chronological families — expanded reader release

This September 28 edition includes the supplied LXX/SP spine study in the main explanation. Start with the 18-page main PDF; technical §4A supplies the shared formulas in the 9-page companion. The complete supplied study and the integration notes are included.

The original C1431 full evidence archive remains unchanged. The inherited JSON grammar and claim/source index retain C1431 scope. The added chapter and technical §4A have a separate 112-assertion arithmetic review; the old 779-check total is not increased or reassigned to the new edition.

Markdown links are local to this package. SOURCE_TO_PACKAGE.json records the input hashes and packaged hashes of the inherited or revised reader files. MANIFEST.sha256 covers every other packaged file. Verification scripts and reports are under verification/; run python3 verification/verify_spine_arithmetic.py to repeat the bounded arithmetic checks. The calculator accepts the study's source coordinates; it does not reconstruct the underlying Report IV lifespan totals.

The accepted SP Fall construction is retained. The inverse of the inverse remains deferred. No C1432 action was executed.