Claims & Evidence Registrar › H04

LIB2-066 · The Vcb formula retains its loaded physical attachment

class CLAIMmath status (as printed) Structuralattachment (as printed) Loaded-correspondencescorecard tier word (as printed) Loaded-correspondencehouse tier not yet assignedreview state PUBLISHEDentry version 12

Label sentence at the locator (PDF p.51 (bytes of record)):

|Vcb | = 0.041996 (+1.00σ, Loaded-correspondence attachment, Structural formula — A1566)

Statement

The retained formula |Vcb| = 1/(9√7) gives 0.041996; its physical attachment inherits the atmospheric registration and the independently unforced integer 9.

Parts of the statement (4)

Each part is a clause of the statement above, cut so that one part makes one claim. A reader naming the clause a quote supports can name the part.

Scope

carrierThe retained Peirce Vcb correspondence
domainThe structural formula with its loaded physical attachment.
hypothesesThe physical atmospheric-octant registration is loaded.; The integer 9 remains independently unforced.
physical target|Vcb|
quantifierThe registered readout and its stated premises.
What this does not show. The exact formula does not select its integer or derive the physical atmospheric registration on which it depends.

Scientific status: UNDER REVIEW — the house has not adjudicated CURRENT / CONTESTED for this record (charter §10.3); a drafted claim is a claim under review, not a result.

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, Vcb comparator row — PDF p.162 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS · grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

|Vcb | 1/(9 7) = 0.041996 0.0407 ± 0.0013 +1.00σ
The text extraction above lost mathematical typography. Restored from the sealed TeX source (rev32.7/tex/appendix_b_independent_verification.tex:281-282): |V_cb| 1/(9√7) = 0.041996 0.0407±0.0013 +1.00σ (R87 house restoration: rendered from the tex, not the quote; the quote above is what the machine gate matched)

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

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

Appendix B, §B.6, Distinct formula and attachment status — PDF p.162 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → SUPPORTS · the lanes disagreed; resolved by PI ruling R84 as CONTEXT — a ruling whose gloss the house owes; a use resolved by ruling never anchors PUBLISHED

first row Loaded, |Vcb | Loaded-correspondence attach- ment (physical) / Structural formula, δCKM Coincidence-class.

Evidence (availability is not outcome)

kindreferenceline / keyavailabilitynote
registryPaper 3 §5.2, p.58; Appendix B §B.6, p.156—shippedThe supplied sources state the formula, the unforced choices and the current comparison.

The numbers this record declares, and where each one's digits come from

This table covers the values this record DECLARES, not every numeral printed on this page: group labels such as E7(7), section numbers and page numbers are not declared values and are not listed here.

value as printedpagedigit source
1PDF p.156 (bytes of record)closed form and displayed value: 1/(9√7) in Appendix B §B.6; the radical is displaced in the extraction
9PDF p.156 (bytes of record)closed form and displayed value: 1/(9√7) in Appendix B §B.6; the radical is displaced in the extraction
7PDF p.156 (bytes of record)closed form and displayed value: 1/(9√7) in Appendix B §B.6; the radical is displaced in the extraction
0.041996PDF p.156 (bytes of record)closed form and displayed value: 1/(9√7) in Appendix B §B.6; the radical is displaced in the extraction

Comparison relation (as printed; no σ computed here)

comparatormethod as printeddistance as printedpagescorecard-eligible as printed
SL-13 |V_cb| PDG 2026stated central-value Gaussianization; current scorecard rounding+1.00σPDF p.48 (bytes of record)

Premises this record rests on (qualified uses)

Each row is a house-declared use of a registered premise (R37). DECLARED is the house's editorial judgment only; a use becomes REVIEWED when two non-drafting lanes, reading different objects, agree the premise is LOAD_BEARING for this record's result. REJECTED rows were retired by ruling and are shown for provenance.

usestatepremiserolewhy the house declared it · reads
USE-0026REVIEWED by lanes (R49c)PRM-013 (PRM-013/r1) — DET-7 structural postulateadopted_physicalProposed by the drafting lane (A1634): The retained formula’s seven is explicitly attributed to DET-7. Its atmospheric readout and integer nine remain separately loaded; this edge does not derive either. — House reading: House read App X:73: the 7 in |V_cb| = 1/(9√7) is printed as DET-7's "7 unification". The retained formula uses the premise; the edge does not derive the loaded attachment or the unforced 9.
  • gemini · LOAD_BEARING · SUITE_TEXT_EXTRACT (D1350)
  • grok · LOAD_BEARING · THE_RECORD (D1349)

Typed links

typetargetlicensed by
depends_onLIB2-002 Physical atmospheric registration of the internal 7/16 mismatchPaper 3 p.58 explicitly says |Vcb| inherits the atmospheric-octant registration.
compares_withSL-13 |V_cb| PDG 2026Appendix B p.156 compares the displayed value with 0.0407 ± 0.0013.
rests_on_premisePRM-013 DET-7 structural postulateappendix_x_zero_parameter_input_ledger.tex:73 — "DET-7 ``7 unification''; inherits the loaded atmospheric attachment"

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

states a predicateyes
uses on the record · unblocked3 · 3
uses any lane has read3 of 3
REVIEWED SUPPORTS use on the predicate, read by two non-drafting lanesyes (2)
a SUPPORTS use on the predicate is DISPUTEDno
machine certificate currentyes

Machine certificate (R68)

stateMACHINE_CHECKS_PASSED
policysgtoe-clearance-policy-1.0-RATIFIED · sha16 ef7d6e7690514311
bound to masteraad7a3ec6ce3b510 (the master the checks ran on; issued 2026-09-26T05:06Z)
checks
checkresultreason
schema_validPASSexercised
basis_currentPASSexercised
quote_locatedPASSexercised
labels_literalPASSexercised
edges_resolvedPASSexercised
bindings_validPASSexercised

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) antecedentsno legacy antecedent identified
Track-2 claim idsD-MIX-06 — cross-reference; the Track 1 / Track 2 join sets each one against what the sealed suite prints for this record. Where they differ, the suite is the record.
serialsA1566 s1107
candidate ids (frozen list S304)C2-010 C2-063

Drafting-lane note

C2-010 and C2-063 are merged. Both axes are literal in the p.51 scorecard sentence: Structural formula and Loaded-correspondence attachment. The current comparator value is copied, not recomputed.

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 472e88f51fb664c366a33dcb54fef70dd450962c93a404f39c2ce96dd82fc49e

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-066 | 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