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 The state is recomputed from the uses on every build and is withdrawn if they stop justifying it.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-1c21067b24c8381d68d3c652 · master c7e92a7e45eaadf0 · S342.

LIB2-173 · The ordered state pair supplies the additive relative modular score

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.309 (bytes of record)):

the half-log score is diag(1, 0, −1) on the golden lattice: Krel = Dφ .

Statement

For the registered ordered golden state pair, the additive half-log score is Krel = Dϕ = diag(1,0,−1) on the golden lattice.

Scope

carrier	The ordered golden state pair and its relative modular score
domain	The score associated with the supplied state pair, not a natural point of the bare module.
hypotheses	Use the ordered state pair of Theorem 10.1 and its additivity premise.
quantifier	The registered construction and its stated premises.

What this does not show. The score does not intrinsically select the ordered state pair or construct the microscopic mass/generation readout.

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 T, §10, Theorem 10.1: half-log score — PDF p.326 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

the half-log score is diag(1, 0, −1) on the golden lattice: Krel = Dφ .

Appendix T, §10, Theorem 10.1: additivity — PDF p.326 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → SUPPORTS · grok read THE_RECORD → CONTEXT · gemini read SUITE_TEXT_EXTRACT → CONTEXT

The log leg is a −1 −1 theorem given additivity

Appendix T, §10, Remark 10.2: point supplied by the state pair — PDF p.327 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

the bare module still has no natural point. The point comes from the state pair.

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
computational	s926; A1447, Appendix T §10, Theorem 10.1, p.309	—	unknown	The suite reports the score identity and non-additive control; the kernel and its outputs 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 printed	page	digit source
`1`	PDF p.309 (bytes of record)	closed form: Krel = Dφ with score diag(1,0,−1), printed in Theorem 10.1
`0`	PDF p.309 (bytes of record)	closed form: Krel = Dφ with score diag(1,0,−1), printed in Theorem 10.1
`−1`	PDF p.309 (bytes of record)	closed form: Krel = Dφ with score diag(1,0,−1), printed in Theorem 10.1

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-0013`	REVIEWED by lanes (R49c)	PRM-005 (PRM-005/r2) — AX-MOS	adopted_physical	Hypothesis: 'Use the ordered state pair of Theorem 10.1 and its additivity premise' - PRM-005's own statement records that Theorem 10.1's clause is absorbed into AX-MOS. gemini · LOAD_BEARING · SUITE_TEXT_EXTRACT (D1350) grok · LOAD_BEARING · THE_RECORD (D1349)

Typed links

type	target	licensed by
`rests_on_premise`	PRM-005 AX-MOS	—

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 (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	F-OMOS-01 — 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	A1447 s925 s926
candidate ids (frozen list S304)	C2-093

Drafting-lane note

Modular-score constituent of C2-093. Additivity is retained explicitly. The source's local theorem wording is not converted to a mathematical-status label or a scorecard tier.

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 761686913f82c21c86503a16372cc83457199e28aa72502e45e97dbc6529998b

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-173 | 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