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 3 of 3 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 The state is recomputed from the uses on every build and is withdrawn if they stop justifying it.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-4a2204986dd130d99678fc00 · master 0b0b838e8c4d1bc5 · S328.

LIB2-065 · The loaded first row determines its displayed Vud magnitude

class CLAIMmath status (as printed) NOT_PRINTEDattachment (as printed) NOT_PRINTEDscorecard tier word (as printed) Loadedhouse tier not yet assignedreview state PUBLISHEDentry version 9

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

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

Statement

The retained first-row relation |Vud| = √(1 − |Vus|² − |Vub|²) gives the displayed value 0.97429 and inherits the first-row loading.

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.

p1 · The retained first-row relation |Vud| = √(1 − |Vus|² − |Vub|²) gives the displayed value 0.97429 (one claim)
p2 · inherits the first-row loading. (one claim)

Scope

carrier	The retained CKM first-row relation
domain	The displayed first-row completion, not an independently selected \|Vud\| formula.
hypotheses	Use the loaded \|Vus\| and \|Vub\| entries in the stated unitarity relation.
physical target	\|Vud\|
quantifier	The registered readout and its stated premises.

What this does not show. The unitarity-derived value inherits the route choice and is not an independent confirmation of that choice.

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, First-row unitarity readout — PDF p.49 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

first-row unitarity gives q |Vud | = 1 − |Vus |2 − |Vub |2 ≈ 0.97429. (3)

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

PDG 2026 |Vud | = 0.97367 ± 0.00032, central-value Gaussianized, places the prediction at +1.94σ

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

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

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
analytic	Paper 3 §2, Eq. (3), p.46	—	shipped	The displayed completion formula and its value are source statements, not a fresh evaluation.

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`	PDF p.46 (bytes of record)	closed form and displayed value: first-row unitarity relation, Paper 3 §2, Eq. (3)
`2`	PDF p.46 (bytes of record)	closed form and displayed value: first-row unitarity relation, Paper 3 §2, Eq. (3)
`0.97429`	PDF p.46 (bytes of record)	closed form and displayed value: first-row unitarity relation, Paper 3 §2, Eq. (3)

Comparison relation (as printed; no σ computed here)

comparator	method as printed	distance as printed	page	scorecard-eligible as printed
SL-14 \|V_ud\| PDG 2026	central-value Gaussianized	`+1.94σ`	PDF 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.

use	state	premise	role	why the house declared it · reads
`USE-0025`	REVIEWED by lanes (R49c)	PRM-017 (PRM-017/r2) — CKM first-row Route B (selected against kaon data)	readout_choice	Proposed by the drafting lane (A1634): The Vud comparison passage explicitly applies the first-row Loaded typing to its unitarity readout. Record the inherited CKM route at this stated step without treating unitarity itself as an empirical axiom. — House reading: House read p3:150–156: the \|V_ud\| readout sits under "the first-row Loaded typing … applies", i.e. within the same route choice. gemini · LOAD_BEARING · SUITE_TEXT_EXTRACT (D1350) grok · LOAD_BEARING · THE_RECORD (D1349)

Typed links

type	target	licensed by
`depends_on`	LIB2-063 The framework-angle Route-B readout gives the corrected Cabibbo value	Paper 3 p.46, Eq. (3), uses \|Vus\| in the first-row completion.
`depends_on`	LIB2-067 The Vub hierarchy relation inherits the loaded Route-B chain	Paper 3 p.46, Eq. (3), uses \|Vub\| in the first-row completion.
`compares_with`	SL-14 \|V_ud\| PDG 2026	Paper 3 p.46 supplies the comparator 0.97367 ± 0.00032.
`rests_on_premise`	PRM-017 CKM first-row Route B (selected against kaon data)	p3_ckm_pmns_mixing.tex:153 — "the first-row \textsc{Loaded} typing (\S\ref{sec:p3-retier}) applies."

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

states a predicate	yes
uses on the record · unblocked	3 · 3
uses any lane has read	3 of 3
REVIEWED SUPPORTS use on the predicate, read by two non-drafting lanes	yes (2)
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
candidate ids (frozen list S304)	C2-008

Drafting-lane note

The C2-008 note saying no comparator exists is stale: p.46 supplies one. Source labels use the current loaded column, not the old Algebraic heading. The radical is displaced as q in the extraction and the quote is 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 4c771bc9d9eaccfac0ad2d9d2d9a102a41d70b2971f2851016cf2a25a657c8f4

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-065 | 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