verifying-crypto-with-lean/main.pdf
mrwulf 80788af88b Accuracy sweep: bring the book to the proven four-tier apex state
The companion repos completed their signature apex (phases 1+2: four
button-enforced tiers up to "accept <=> decompress(R) = [k](-A)+[s]B as
points") and the scalar layer long ago crossed the kernel frontier - but
the book still taught the pre-campaign state, including one real
inaccuracy of the class coherence pass 3 purged from the repo READMEs:
ch12's apex section and audit-drill solution described the COFACTORED
equation (8sB = 8R + 8kA) with SIMD backends in the trusted base -
neither matches the proven certificates (canonical-R byte equality,
serial path pinned and proven, SHA-512 an oracle with NO assumed
properties).

Fixed:
- ch12: pyramid status diagram (scalar + signature rows now "done"),
  the scalar-frontier paragraph (the wall was crossed, and how), the
  apex section (future tense -> the proven four-tier statement, honest
  trusted base), the "extend the pyramid" bullet (scalar -> pasta curve
  layer; CONTRIBUTING files never existed - now points at the control
  repo's METHOD/TIERS), exercise 12.2(c) solution (which lineage the
  cofactored robustness belongs to), exercise 12.3 + solution (audit
  the REAL certificate).
- ch01: framing diagram states the equation actually proven
  (sB = R + kA from raw bytes, not the cofactored form).
- glossary: Cofactor entry says which verifiers check which equation.
- ch11: the companion repos' posture is stronger than the ideal-hash
  example - no hash properties assumed at all, backend question
  eliminated rather than assumed.
- ch08: extraction notes (one merged universe; extract-scalar.sh was
  retired in coherence pass 3; SIMD scoped out, not assumed).
- repo tour appendix: floor plan, reading order (item 5 now tours the
  apex capstone), Phase 3b described.
- README: companion table rows say "the complete pyramid" with the
  four-tier apex; honesty ledger records this 2026-07-06 re-audit.

main.pdf rebuilt from the updated sources (106 pages, zero errors,
build-pass4.log retained).

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
2026-07-06 07:46:27 +02:00

956 KiB