The operator caught what no check had ever tested: nobody had LOOKED at
the rendered pages. A ten-inspector visual audit of all 129 pages (every
page opened as an image) found 40 defects, including didactic
correctness bugs invisible to the text layer:
BAD, fixed:
- ch03 printed WRONG Lean operators: \lean{P /\ Q} lost its backslash
('P / Q') and \lean{P \/ Q} lost the operator entirely ('P Q') —
TeX ate them inside the non-verbatim macro. Now the unicode ∧/∨ the
book uses everywhere else.
- ch12: the doubling display overflowed its box border, slicing the
math; stacked on two lines.
- toolkit Card 6: the headroom-audit display was clipped by the page
edge; now an align* stack.
UGLY, fixed:
- title page: the 'pyramid motif' at 5% white opacity on near-black
rendered as smudge artifacts, plus a clipped ∀ glyph in the corner
— redrawn with solid mixed colors (no transparency), glyph removed;
the footer's mid-word paragraph gap was a \vspace landing inside
horizontal mode; fixed with \par
- ch06: both clock diagrams' wrap-around arrows ran counterclockwise,
retracing over earlier arcs — target position expressed as 12 (one
revolution) so the arc continues clockwise, landing on 0 (mod 12)
and 1 (mod 11) correctly
- ch04: two_mul'' printed as two_mul" (quote ligature)
- one-line orphaned box fragments and stranded solution headings
throughout: bigidea/tryit/pitfall/aha/checkpoint are now unbreakable
(none exceeds half a page), worked boxes announce '(continued)' after
a break, \solhead keeps four lines with \Needspace
- --all/--receipt flags printed as one merged dash: \ddash macro
- inline code no longer hyphen-breaks at underscores (codeguards)
- ch09's 2^{...} smudge, glossary margin overflow, ch08 orphaned
listing line, ch13 command-line layout, three >10pt overfulls
THE STRUCTURAL LESSON, encoded: the two worst clipping bugs had been
announced as 80pt/73pt overfull warnings in every build log and ignored.
check-book.sh now FAILS on any overfull box past 10pt — the machine was
telling us; now it is allowed to stop us.
132 pages; publication-history and README counts synced; every fixed
page re-rendered and verified by eye. Button: ALL GREEN (96 checks).
Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
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>
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>
- 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>
