PUBLISHED under R124 (condition T-R, retired records) — NOT house-adjudicated. Build S371a. What PUBLISHED means here: this record states what an EARLIER presentation said. Its archive row was located in the files named below, and two non-drafting AI lanes (gemini + grok) — one reading this page, one reading the archive text supplied to it — agreed the archive ATTESTS the historical statement; 2 of 2 unblocked suite citations were REVIEWED and none is disputed; its machine certificate is current. What it does not mean: no person has signed off (NOT_ADJUDICATED); the retired claim is not endorsed — it is recorded as retired; the drafting lane's reads count for nothing. Receipt: condition R124-TR · archive LIBRARY_V1_GROK_ARCHIVE_S304.md, P68 (LIBRARY_V1_GROK_ARCHIVE_S304.md) · master c7e92a7e45eaadf0 · S342.

LIB2-288 · Superseded Cabibbo-squared formula for Vcb

class RETIREDmath status (as printed) —attachment (as printed) —scorecard tier word (as printed) none printedhouse tier not yet assignedreview state PUBLISHEDentry version 7

Statement

The archived proof prompt proposed obtaining Vcb from the squared sine of a corrected Cabibbo angle divided by the square root of the golden ratio.

Scope

domain	The P68 corrected-Cabibbo formula, not the distinct lambda-power assignment of L129.

What this does not show. Replacing this historical formula does not select the present physical attachment or the unforced integer in its denominator.

Sources in the suite of record

Key — use ≠ record. A review state printed on a source use below names that use — one citation of the suite, read by the lane named in its warrant — not this record. The record's own review state is the one in the table above and is unchanged by any use-level state; a use may be LANE_PROPOSED or REVIEWED while the record it sits on remains IN_REVIEW (R45, R49).

Quotes are verbatim from the sha-pinned text extraction of the Rev33.1 PDF (A1584 §2.2, S309): mathematical typography — radicals, exponents, ≅ — can appear displaced in the extracted line. The PDF page is authoritative; the quote is what the machine gate matched.

Appendix B, §B.6, Retained Vcb formula — PDF p.162 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT · grok read THE_RECORD → CONTEXT · gemini read SUITE_TEXT_EXTRACT → CONTEXT

|Vcb | 1/(9 7) = 0.041996

The text extraction above lost mathematical typography. Restored from the sealed TeX source (rev32.7/tex/appendix_b_independent_verification.tex:281): |V_cb| 1/(9√7) = 0.041996 (R87 house restoration: rendered from the tex, not the quote; the quote above is what the machine gate matched)

Paper 3, §5.2, Inherited Vcb choices — PDF p.62 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

|Vcb | inherits both the atmospheric-octant registration and the independently unforced integer 9

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
registry	Library v1 P68; Appendix B §B.6, Retained Vcb formula, p.156	—	shipped	The archive supplies titles and workflow metadata, not original production bodies. The current-suite replacement is quoted; no historical derivation, numerical result or retirement chronology is independently verified.

What was said, and what retired it

historical statement	P68: V_cb = sin²(θ_C)/√φ with Corrected θ_C (gap 0.28%)
where it stood	LIBRARY_V1_GROK_ARCHIVE_S304.md, P68
retiring decision	not located in suite; current-target replacement in Appendix B, p.156
what the suite prints now	\|Vcb \| 1/(9 7) = 0.041996 PDF p.156 (bytes of record)
successor records	LIB2-066 The Vcb formula retains its loaded physical attachment
why retired	RELATION_NOT_RECORDED — the retiring decision names only what replaced the claim ("not located in suite; current-target replacement in …"); the reason the old claim went was never recorded, and the house does not infer one from a pointer (R42 census S322, ruled R69).
archive row located	LOCATED — 1 of 1 parts found in `LIBRARY_V1_GROK_ARCHIVE_S304.md` (sha256 28f35aac4e91e1ca…) (locator 8db2c73d69dff9f1, S339)
the archive rows, verbatim	LIBRARY_V1_GROK_ARCHIVE_S304.md, line 318 \| P68 \| proof \| 2.F \| Paper 2 Proofs \| Paper 2 — Flavor Sector from Peirce Perturbations \| awaiting_production \| prompt_ready \| yes \| P68: V_cb = sin²(θ_C)/√φ with Corrected θ_C (gap 0.28%) \|
does the archive attest it?	REVIEWED · ATTESTS gemini · ATTESTS · ARCHIVE_TEXT_SUPPLIED (D1341, A1694) — HIGH — The row presents the formula V_cb = sin²(θ_C)/√φ using a corrected θ_C. grok · ATTESTS · THE_RECORD (D1340, A1693) — HIGH — P68 is `V_cb = sin²(θ_C)/√φ with Corrected θ_C`.

A successor is linked, never "derived from" the retired statement (charter §10.10).

Why this record is PUBLISHED (R67, condition T-B)

states a predicate	yes
uses on the record · unblocked	2 · 2
uses any lane has read	2 of 2
REVIEWED SUPPORTS use on the predicate, read by two non-drafting lanes	no (0)
a SUPPORTS use on the predicate is DISPUTED	no
machine certificate current	yes

Machine certificate (R68)

state MACHINE_CHECKS_PASSED

policy sgtoe-clearance-policy-1.0-RATIFIED · sha16 ef7d6e7690514311

bound to master aad7a3ec6ce3b510 (the master the checks ran on; issued 2026-09-26T05:06Z)

checks

check	result	reason
`schema_valid`	PASS	exercised
`basis_current`	PASS	exercised
`quote_located`	PASS	exercised
`labels_literal`	N/A	class RETIRED not governed by the source_labels rule
`edges_resolved`	PASS	exercised
`bindings_valid`	PASS	exercised

A certificate says the record is well-formed, current, quote-on-page, label-literal, edge-resolved and binding-consistent on the bytes it was issued on. It is not a review, and it goes STALE the moment the master moves under it (R68). It is one conjunct of the PUBLISHED condition (R67), never the whole of it.

History

March library (v1) antecedents	P68
candidate ids (frozen list S304)	C2-010 C2-063

Drafting-lane note

P68's corrected-angle formula and old gap remain archival assertions. The square-root denominator differs from L129's denominator, so the records are not merged. No corrected angle, magnitude or data agreement is calculated.

Receipt

round D1253 · parsed 2026-09-06T00:06Z · machine gates passed: CONTRACT, G1-quote-on-page, G2-numerals-declared, G4-ids-resolve, DAG-acyclic · content sha256 b7b590373fa19787615d7e3684818d497cd61e822f3f0c900d17d3739497f700

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-288 | PASS or FAIL(G1–G8) or NOT RUN | quote | PDF page | one sentence. G1 source supports the exact scoped assertion · G2 evidence class fits (numbers ≡ digit source) · G3 labels as printed, not converted · G4 comparison typed · G6 public scope · G7 history real · G8 caution present and true. Machine surfaces: index.json · capsule.md.

Generated from library_v2.jsonl. Declared volatile fields (R36): BUILD_STAMP.
BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02