Claims & Evidence Registrar › H04

LIB2-063 · The framework-angle Route-B readout gives the corrected Cabibbo value

class CLAIMmath status (as printed) NOT_PRINTEDattachment (as printed) NOT_PRINTEDscorecard tier word (as printed) Loadedhouse tier not yet assignedreview state PUBLISHEDentry version 7

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

CKM magnitudes under the PDG 2026 scorecard: |Vus | = 0.225256 (+1.11σ, first row Loaded)

Statement

The data-selected Route-B readout |Vus| = sin θ12/√6 gives 0.225256 when the framework solar angle is used.

Scope

carrierThe Route-B Peirce first-row correspondence
domainThe corrected framework-angle readout, not its rounded-angle variant or measured-angle diagnostic.
hypothesesUse the framework solar angle rather than the measured NuFIT angle.; Route B is selected against kaon data.
physical target|Vus|
quantifierThe registered readout and its stated premises.
What this does not show. A derived block weight does not make the data-selected route a first-principles prediction.

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.

Paper 3, §2, Route-B readout — PDF p.48 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

The CKM first row is canonically fixed by the Peirce J12 block through Route B: PMNS sin θ12 |Vus | = √ ≈ 0.22526. (1) 6

Paper 3, §2, Current kernel-line value — PDF p.49 (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

the canonical current value is |Vus | = 0.225256 √ (the exact framework angle arctan( 3/ϕ2 ) = 33.4880◦ , printed from the kernel line s1162;

Paper 3, §2, Route selection — PDF p.49 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

The first row is Loaded: Route B was selected after comparison with kaon data.

Paper 3, §2, Current comparator — PDF p.49 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

compared with PDG 2026 0.22431 ± 0.00085, giving +1.11σ under the stated central-value Gaussianization.

Evidence (availability is not outcome)

kindreferenceline / keyavailabilitynote
computationals1162, kernel-line value quoted in Paper 3 §2, p.47—unknownThe suite explicitly identifies this digit source; the kernel and output are not attached.

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
12PDF p.46 (bytes of record)closed form: Route-B first-row expression, Paper 3 §2, Eq. (1)
6PDF p.46 (bytes of record)closed form: Route-B first-row expression, Paper 3 §2, Eq. (1)
0.225256PDF p.47 (bytes of record)s1162, current |Vus| output as quoted in Paper 3 §2; output line/key not supplied

Comparison relation (as printed; no σ computed here)

comparatormethod as printeddistance as printedpagescorecard-eligible as printed
SL-11 Vuscentral-value Gaussianization+1.11σPDF p.47 (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-0005REVIEWED by lanes (R49c)PRM-017 (PRM-017/r2) — CKM first-row Route B (selected against kaon data)readout_choiceHypothesis states 'Route B is selected against kaon data' - the selector, and a data crossing, in the record's own words.
  • gemini · LOAD_BEARING · SUITE_TEXT_EXTRACT (D1350)
  • grok · LOAD_BEARING · THE_RECORD (D1349)

Typed links

typetargetlicensed by
depends_onLIB2-060 The solar-angle readout is conditional on ordering and the propagation interfacePaper 3 p.46 defines the Route-B readout using the framework PMNS solar angle.
depends_onLIB2-050 The Peirce first-row weight factors into trace and generation normalizationsPaper 3 pp.46,59 identify the separately derived block weight used in Route B.
compares_withSL-11 VusPaper 3 p.47 compares 0.225256 with the PDG first-row value 0.22431 ± 0.00085.
rests_on_premisePRM-017 CKM first-row Route B (selected against kaon data)—

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

states a predicateyes
uses on the record · unblocked4 · 4
uses any lane has read4 of 4
REVIEWED SUPPORTS use on the predicate, read by two non-drafting lanesyes (3)
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-05 — 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.
serialss1162
candidate ids (frozen list S304)C2-009 C2-062

Drafting-lane note

The physical-readout clause of C2-062 merges into C2-009 here. The current s1162 display replaces the stale imported decimal; the kernel itself is not supplied. G-054 is the separate weight identity, and G-068 the measured-angle diagnostic.

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 b2fb35516ed4ae59dd411b6a67ce3a6f9508982f8cffc7d4c3190f242613ac4c

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-063 | 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