Claims & Evidence Registrar › H04

LIB2-073 · The first-row weight is not a universal Peirce-block functor

class CLAIMmath status (as printed) NOT_PRINTEDattachment (as printed) NOT_PRINTEDscorecard tier word (as printed) none printedhouse tier not yet assignedreview state PUBLISHEDentry version 8

Label sentence at the locator (PDF p.59 (bytes of record)):

the naive S 3 -orbit-average functor F (θ) = sin θ/ 6 fails on |Vcb | by 6.6× (s1105), so 1/ 6 is a Peirce-block-dependent weight, not a functor;

Statement

The naive S3 orbit-average map F(θ) = sin θ/√6 fails on |Vcb| by a factor 6.6, so the first-row weight is block-dependent rather than a universal functor.

Parts of the statement (2)

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 proposed uniform map across the registered Peirce blocks
domainFailure of this particular universal-weight map, not every block-dependent rule.
hypothesesApply the stated first-row form to the Vcb block as in the source control.
physical targetUniform mixing-weight transfer test
quantifierThe registered readout and its stated premises.
What this does not show. This control does not refute the first-row factorization or supply the missing block-dependent rule.

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, §5.2, Universal-weight control — PDF p.63 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

naive S3 -orbit- average functor F (θ) = sin θ/ 6 fails on |Vcb | by 6.6× (s1105: F (θ23 ) = sin θ23 / 6 = 0.270031 at sin2 θ23 =√7/16, which √ is 6.635 times the PDG comparator 0.0407 and 6.430 times the framework’s own 1/(9 7)), so 1/ 6 is a Peirce-block-dependent weight, not a functor;

Paper 3, §5.2, Missing block-weight rule — PDF p.63 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → CONTEXT · the lanes disagreed; resolved by PI ruling R89 as CONTEXT — a ruling whose gloss the house owes; a use resolved by ruling never anchors PUBLISHED

the object whose rule would free |Vus |, |Vud |, |Vub | and |Vcb | together is that block-weight rule, and it is not registered.

Evidence (availability is not outcome)

kindreferenceline / keyavailabilitynote
computationals1105, Paper 3 §5.2, p.59—unknownThe suite reports the failed uniform-weight control; the kernel and output are not supplied.

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
3PDF p.59 (bytes of record)suite text p.59 only (no kernel line found); the displayed control is F(θ)=sin θ/√6
6PDF p.59 (bytes of record)suite text p.59 only (no kernel line found); the displayed control is F(θ)=sin θ/√6
6.6PDF p.59 (bytes of record)suite text p.59 only (no kernel line found); the displayed control is F(θ)=sin θ/√6

Typed links

typetargetlicensed by
related_to (never evidential)LIB2-050 The Peirce first-row weight factors into trace and generation normalizations—
related_to (never evidential)LIB2-066 The Vcb formula retains its loaded physical attachment—

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

states a predicateyes
uses on the record · unblocked2 · 2
uses any lane has read2 of 2
REVIEWED SUPPORTS use on the predicate, read by two non-drafting lanesyes (1)
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?
A1647-F08
A1647
PROOFCONFIRMEDThe factor 6.6 is not given its inputs. House: the naive map on sin²θ₂₃ = 7/16 gives 0.270031; ÷ the 0.0407 comparator = 6.635 (prints 6.6), ÷ the retained 1/(9√7) = 6.430. The source should name the angle and the denominator.p3_ckm_pmns_mixing.tex:667–669; house recompute (LIB2-073 block).
paper: REV33.2_PENDING S329·A1647 item 8
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-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.
serialss1105
candidate ids (frozen list S304)C2-062

Drafting-lane note

Separate control child of C2-062. G-054 is the exact first-row weight; G-067/G-068 are its two evaluated readouts. The factor is source-reported, and the displaced radical in the quote is left unchanged.

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 10c91c533f2c9ed3f667b82b13d8e953dc964469fcf3965e59d30d2d18d469af

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-073 | 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