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 The state is recomputed from the uses on every build and is withdrawn if they stop justifying it.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-a88e8a60ddd00a62437290cc · master ac37c14788254b3d · S327.

LIB2-047 · The working golden vacuum has unit Jordan determinant

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.25 (bytes of record)):

The vacuum Jvac = diag(ϕ, 1, ϕ−1 ) satisfies Jvac # = diag(ϕ−1 , 1, ϕ) = J −1 (Jordan inverse), consistent vac with det Jvac = 1.

Statement

At the working vacuum Jvac = diag(ϕ,1,ϕ⁻¹), the Jordan determinant is det Jvac = 1.

Scope

carrier	The diagonal golden Jordan vacuum
domain	The determinant identity, not a new vacuum-selection law.
hypotheses	Use the working vacuum diag(ϕ,1,ϕ⁻¹) and the Jordan determinant.
quantifier	The registered construction only.
real form	J3(Os)

What this does not show. Unit determinant alone does not select the golden spectrum; Appendix E uses it as a normalization hypothesis.

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 1, §3, Roman-surface paragraph: vacuum adjoint — PDF p.26 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

The vacuum Jvac = diag(ϕ, 1, ϕ−1 ) satisfies Jvac # = diag(ϕ−1 , 1, ϕ) = J −1 (Jordan inverse), consistent vac with det Jvac = 1.

Appendix E, §1, H0: unit-determinant hypothesis — PDF p.169 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS · the lanes agreed; the pattern ruled at R74/R80 re-opened it, set by PI ruling R82 as CONTEXT — R82 (S327): the principal investigator re-checked earlier categorizations against R78-a, R80 and R81 and re-opened two agreed readings; a use resolved by ruling never anchors PUBLISHED

(H0) Unit determinant: Det(Jvac ) = abc = 1. (The vacuum is a norm-one idempotent-frame element; equivalently the cubic Jordan norm N (Jvac ) = 1.)

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
analytic	Paper 1, vacuum-adjoint paragraph, p.25; Appendix E H0, p.163	—	shipped	The supplied text states the determinant identity and separately declares unit determinant as a selector hypothesis.

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.25 (bytes of record)	closed form: Jvac = diag(ϕ,1,ϕ−1) and det Jvac = 1 printed in the vacuum-adjoint paragraph
`−1`	PDF p.25 (bytes of record)	closed form: Jvac = diag(ϕ,1,ϕ−1) and det Jvac = 1 printed in the vacuum-adjoint paragraph

Typed links

type	target	licensed by
`cited_by_section`	E-C02.2.claims-used (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0005, CIT-0006
`cited_by_section`	E-C02.2.derivation (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0007
`cited_by_section`	E-C02.2.prior-art (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0008
`cited_by_section`	E-C05.1.prior-art (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0177

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
candidate ids (frozen list S304)	C2-002

Drafting-lane note

The evaluated identity and its premise role are distinguished. The source row's 'Theorem AX1' wording is not inferred at these locators; the quote preserves the extraction's displaced inverse subscript.

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 f1f16ca6fbecd42f4d9829f442101dc75965ec9e03ece4928375d4f7d42af1aa

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-047 | 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