New Chapter 13, 'The Second Summit: A Hash-Based Pyramid' — SLH-DSA
(FIPS 205) as the transfer experiment for the whole method:
- opens on leaf 18 as the anomaly; correctness-vs-security across the
quantum divide ('a correct implementation of a broken lock is still a
broken lock')
- Lamport -> Winternitz chains with the checksum see-saw run twice on
real w=16 numbers, including a concrete failed forgery (480 -> 479,
digit 14 -> 13)
- FORS worked at napkin scale (k=2, a=2, one reuse = one forgery) and
real scale (28 of 57,344, exponent 14)
- the virtual hypertree: digest split 21/7/2 to the bit, the 54-bit
meter peeled 9 bits per layer, verification priced exactly (254 fixed
oracle calls; the see-saw itself caps a layer at 510, so worst case
3,824 — the naive 525*35 bound is unreachable, and the chapter says
why); ~2^72 to build vs ~2^12 to check
- the eleven certificates, the loop-to-fold bridges, the honest
'visible, not correct' boundary (no second semantics — and why the
natural move fails), the cone-growth table, the t_l/t_len naming
inversion told as the war story it was, the apex as an audit
invitation with the verbatim theorem named
- 'The leaf, live': leaf-vs-head precision ('plausible, and wrong
twice'), the three-clause self-reference ledger (attested machinery /
attested scheme / honest gap), one-command tryit
- six exercises with pathway'd solutions; checkpoint hands the
who-checks-them question to the finale
Structural: attestation renamed ch14 and now carries the book's single
ending (where-to-go, further reading, final reframe, prospective
checkpoint — moved from ch12); its two interior checkpoints demoted to
bigidea/tryit so the terminal checkpoint stands alone; opening now
receives ch13's baton. ch12 ends as a chapter. Front matter: three-summit
arc, fourteen-week plan, honest discussion-exercise count; ch01 promise
ladder extended to Chapters 13/14; glossary +5 entries (and the
pre-existing Hasse-bound misordering fixed); README fourteen chapters +
build.sh recipe.
Every constant verified against fips205-slhdsa-verified and
lean-transparency-log by four adversarial checkers; arithmetic
independently recomputed; didactic panel scored the chapter 9/8 —
the book's high-water mark. Build: 128 pages, zero unresolved refs.
Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
Per the 7-reader didactic panel and BOOK-OVERHAUL-PLAN.md:
- front matter: box legend demoted below a lived example (the aha box
becomes its own legend entry)
- ch04: open on the stake (proof the size of a compiler), new section
'When you get stuck --- and you will' promoting the debugging session,
checkpoint now carries the omega cliffhanger forward
- ch06: open on the dare (invert 19 mod a 77-digit prime, two-digit
numbers only), machine-referee #eval after the Euclid box, checkpoint
distills the constant-time trade into one quotable sentence
- ch10: cold-open on the 12 GB crash, spec vocabulary re-armed at the
summit statement, falsification tryit after the 16p box (the -151
#eval), wall dispatch tied to the cold open, closing paragraph places
the certificate in the live log
- ch12: opening pyramid figure now carries question marks resolved
layer by layer through the chapter (suspense instead of spoiler),
kernel-wall rendered as a scene, 'Where you come in' promoted to its
own subsection, false 'closing chapter' removed
- appendix-toolkit: opens in the design-review room, Drill 7b (parity
argument), street assignment close
- appendix-walkthroughs: opens at the reader's low point, one-hole-one-
paragraph contract, counts replaced by 'trust the folder'
- appendix-repo-tour: active three-promise opener, sabotage-the-button
tryit, final tour stop at the transparency log
Build verified: tectonic clean, 118 pages, zero unresolved refs.
Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
Nine parallel readers audited every doc against measured ground truth; every
finding was re-verified against the file before any edit, and the sweep fixed
by PROPERTY, not by flag — wording the readers caught in one repo was hunted
in all siblings (the two-button README sentence existed in all four forks,
not the three flagged; likewise the cone-overclaim in TRUSTED-BASE item 1).
This repo: see the diff. Records were not rewritten; clarifications are
dated. Doc-only except where noted in the estate summary; every gated doc
change was followed by a green button run.
Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
- pen-and-paper worked examples in all 12 chapters, using the REAL
constants throughout: 2^-64 waiting-time arithmetic, headroom budgets,
hand type-checking, rfl traces, full goal-state boards, the column-sum
audit at 2^54, inverting 19 mod p via Euclid, the x19 fold at real
weights, denoting p itself (telescope), the 16p audit (8 fails by 151),
the 254+11 inversion-chain bookkeeping, the substitution test, sizing
the 28-vs-1000 extraction, cofactor/torsion arithmetic, and the full
Bernstein-Lange completeness derivation
- CORRECTNESS FIX: ch7 asserted a false factorization of p-1; replaced
with the computationally verified p-1 = 2^2 * 3 * 65147 * Q (Q 71-digit
prime), witness w=2 verified for all four Pratt conditions
- every chapter's exercises now followed immediately by 'Solutions and
pathways' (pathway first, then answer), incl. new exercises
- NEW Interlude: a complete two-clause verification done entirely by
hand, then mapped line-by-line onto the compiled Lean proof
- NEW appendices: A pen-and-paper toolkit (8 recipe cards + drills +
answers), B guided walkthroughs of every exercise-file hole, C tour of
the real repositories; plus glossary, instructor notes, 13-week plan
- preamble: worked-example box, solution macros, math-safe inline code
Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
