PUBLISHED under R67 (condition T-B) — NOT house-adjudicated. Build S371a. What PUBLISHED means here (R72): two non-drafting AI lanes (gemini + grok) read this record's anchor citation on different objects and agreed it SUPPORTS the record's statement; no citation on the record is disputed as support; its machine certificate is current. What it does not mean: no person has signed off on this record (adjudication: NOT_ADJUDICATED), the drafting lane's own reads count for nothing, and 2 of 2 unblocked uses were REVIEWED — the rest were read by one lane or none. Every label shown is the label as printed in the suite of record (Rev33.1_S369 (PDF sha256 b64ddcd9e16a6dcd…)); no house tier is assigned. The state is recomputed from the uses on every build and is withdrawn if they stop justifying it. Receipt: condition R67-TB · anchor SU-36553ca76c0c3171a211ab1b · master 7570ddad604d5b37 · S342.

LIB2-050 · The Peirce first-row weight factors into trace and generation normalizations

class CLAIMmath status (as printed) NOT_PRINTEDattachment (as printed) NOT_PRINTEDscorecard tier word (as printed) none printedhouse tier not yet assignedreview state PUBLISHEDentry version 7

Label sentence at the locator (PDF p.46 (bytes of record)):

weight 1/ 6 factorises as 1/ 2 · 1/ 3 = 1/ 3! (s499): the 1/ 2 trace-form block times the 1/ 3 three-generation normalisation — a derived product, independent of any kaon fit.

Statement

The registered Peirce first-row weight is the exact product 1/√6 = (1/√2)(1/√3), combining the trace-form block and three-generation normalization.

Scope

carrier	Registered Peirce first-row trace-form block and generation normalization
domain	The first-row weight, not the full CKM correspondence.
hypotheses	Use the registered first-row Peirce block and three-generation normalization.
quantifier	The registered construction only.

What this does not show. The exact weight does not select the first-row route or establish a universal block-weight functor.

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, Abstract, Rev29 update: Route-B weight — PDF p.48 (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

1/ 6 factorises as 1/ 2 · 1/ 3 = 1/ 3! (s499): the 1/ 2 trace-form block times the 1/ 3 three- generation normalisation — a derived product, independent of any kaon fit.

The text extraction above lost mathematical typography. As the TeX source prints it (p3_ckm_pmns_mixing.tex:97): 1/√6 = 1/√2 · 1/√3 = 1/√(3!): the 1/√2 trace-form block times the 1/√3 three-generation normalisation (R79-c; A1637 F04)

Paper 3, §5.3, Weight versus selected physical route — PDF p.63 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

But a derived weight sitting inside a route that was chosen by comparing both routes to the measurement is not a zero-parameter prediction.

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
computational	s499, cited in Paper 3 Abstract, p.46, and §5.3, p.59	—	unknown	The source reports the factorization; the kernel and its output are not supplied in this round.

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 printed	page	digit source
`1/√6`	PDF p.46 (bytes of record)	closed form: Route-B weight factorization printed beside s499; radicals are displaced in the extraction
`1/√2`	PDF p.46 (bytes of record)	closed form: Route-B weight factorization printed beside s499; radicals are displaced in the extraction
`1/√3`	PDF p.46 (bytes of record)	closed form: Route-B weight factorization printed beside s499; radicals are displaced in the extraction

Typed links

type	target	licensed by
`cited_by_section`	E-C05.1.claims-used (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0163
`cited_by_section`	E-C05.1.derivation (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0172
`cited_by_section`	E-C05.1.prior-art (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0182

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	yes (1)
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`	PASS	exercised
`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	no legacy antecedent identified
Track-2 claim ids	D-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.
serials	s499
candidate ids (frozen list S304)	C2-062

Drafting-lane note

Internal-weight child of C2-062; the physical framework-angle readout and measured-angle diagnostic remain separate. The quotation retains flattened radical layout. The physical row's Loaded label is not assigned to this product.

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 f8dda60daa36f01ed5576fca67c5bce0428906a2e8832b5478550473ec9f0b39

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-050 | 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