Claims & Evidence Registrar › H04

LIB2-067 · The Vub hierarchy relation inherits the loaded Route-B chain

class CLAIMmath status (as printed) NOT_PRINTEDattachment (as printed) NOT_PRINTEDscorecard tier word (as printed) Loadedhouse tier not yet assignedreview state PUBLISHEDentry version 8

Label sentence at the locator (PDF p.58 (bytes of record)):

|Vub | Algebraic loaded inherits |Vus | inherits the route bit

Statement

The retained hierarchy relation |Vub| = |Vus||Vcb|/√6 gives 0.003862 within the loaded Route-B correspondence.

Scope

carrierThe Route-B hierarchy relation
domainThe current displayed hierarchy value, not an independently selected CKM entry.
hypothesesUse the retained |Vus|, |Vcb| and first-row block weight.; The route and inherited physical attachments remain loaded.
physical target|Vub|
quantifierThe registered readout and its stated premises.
What this does not show. The hierarchy relation does not remove the route choice or supply an independent derivation of the full CKM matrix.

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, Vub hierarchy and displayed comparison — 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

|Vub | |Vus ||Vcb |/ 6 = 0.003862 0.00389 ± 0.00016 −0.18σ

Paper 3, §2, Named comparator and rounding — PDF p.48 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT · grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → CONTEXT · the lanes disagreed; resolved by PI ruling R131 as CONTEXT — a ruling whose gloss the house owes; a use resolved by ruling never anchors PUBLISHED

Against the PDG 2026 direct value |Vub | = 0.00389 ± 0.00016, the displayed 0.003862 gives −0.18σ under the stated central-value Gaussianization

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

|Vub | Algebraic loaded inherits |Vus | inherits the route bit

Evidence (availability is not outcome)

kindreferenceline / keyavailabilitynote
registryPaper 3 §2, p.46; Appendix B §B.6, p.156—shippedThe formula and its displayed comparison are source-reported; no hierarchy computation is rerun.

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
6PDF p.156 (bytes of record)closed form and displayed value: |Vus||Vcb|/√6 in Appendix B §B.6
0.003862PDF p.156 (bytes of record)closed form and displayed value: |Vus||Vcb|/√6 in Appendix B §B.6

Comparison relation (as printed; no σ computed here)

comparatormethod as printeddistance as printedpagescorecard-eligible as printed
SL-12 |V_ub| PDG 2026 first-rowcentral-value Gaussianization−0.17σPDF p.46 (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-0027REVIEWED by lanes (R49c)PRM-017 (PRM-017/r2) — CKM first-row Route B (selected against kaon data)readout_choiceProposed by the drafting lane (A1634): The source explicitly says the retained quark 1–3 relation inherits first-row loading. This is a direct textual use of the CKM choice; it does not merely flatten the existing transitive closure. — House reading: House read App X:72–74 and p3:153–156: |V_ub| is "Loaded-correspondence (inherits the first row)", and the first row's route was selected against kaon data. The relation holds only within that route choice.
  • gemini · LOAD_BEARING · SUITE_TEXT_EXTRACT (D1350)
  • grok · LOAD_BEARING · THE_RECORD (D1349)

Typed links

typetargetlicensed by
depends_onLIB2-063 The framework-angle Route-B readout gives the corrected Cabibbo valueThe formula printed in Appendix B p.156 uses the retained |Vus|.
depends_onLIB2-066 The Vcb formula retains its loaded physical attachmentThe formula printed in Appendix B p.156 uses the retained |Vcb|.
depends_onLIB2-050 The Peirce first-row weight factors into trace and generation normalizationsThe hierarchy relation in Appendix B p.156 uses the same displayed 1/√6 block weight.
compares_withSL-12 |V_ub| PDG 2026 first-rowPaper 3 p.46 names the comparator 0.00389 ± 0.00016.
rests_on_premisePRM-017 CKM first-row Route B (selected against kaon data)appendix_x_zero_parameter_input_ledger.tex:74 — "\textsc{Loaded-correspondence} (inherits the first row)"

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

Referee findings (R73)

Raised by a lane acting as referee and re-measured by the house before being listed (a lane's word alone is not a finding). Only a CONFIRMED finding against the record's predicate blocks PUBLISHED; the others are printed so a reader sees them.

findingscopestatewhatevidenceaffects this record's predicate?
A1683-F03c
A1683
PROOFCONFIRMEDThe quoted passages print |Vub| −0.17σ; the displayed 0.003862 sits exactly on −0.175 and full precision (0.0038619738) gives −0.1752 → −0.18σ. A rounding-policy defect in the source; the record's statement (the relation gives 0.003862) is not affected.p.46, p.156 (Rev32.7); REV33.2_PENDING S327·A1633 item 1
paper: REV33.2_PENDING S327·A1633 item 1 (+ S339.4)
no — the predicate is unaffected

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-07 — 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.
candidate ids (frozen list S304)C2-011 C2-064

Drafting-lane note

C2-011 and C2-064 are merged. The displayed 0.003862 and its named comparator are retained; the separately labelled 0.003855 rounding is not substituted.

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 d45d9b1aaa18bd779c9c09322a492974096547c5c4b3024586c47711cd47d53a

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-067 | 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