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 The state is recomputed from the uses on every build and is withdrawn if they stop justifying it.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-90d194f39ea6f4cef6f0e72d · master 94096cf0b0ea8052 · S330.

LIB2-110 · The loaded split-octonion cubic has a nonzero invariant trilinear

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.228 (bytes of record)):

is Der(Os )-invariant and nonzero.

Statement

The split-octonion trilinear T(c,b,a) = Re(c·(b·a)) is nonzero and invariant under Der(Os) in the registered loaded cubic channel.

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 split-octonion trilinear T(c,b,a) = Re(c·(b·a)) is nonzero (one claim)
p2 · invariant under Der(Os) in the registered loaded cubic channel. (one claim)

Scope

carrier	The trilinear on the loaded Albert cubic channel
domain	Existence and invariance of the trilinear, not uniqueness of all invariant trilinears.
group	Der(Os) = g2(2)
hypotheses	Use the split-octonion product and the source's ordered trilinear channel.
quantifier	The registered construction and its stated hypotheses.
real form	Split octonions and J3(Os)

What this does not show. The existence of this invariant does not establish its uniqueness or determine physical Yukawa coefficients.

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 K, §2.1, Theorem 2.1: trilinear — PDF p.239 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → CONTEXT · the lanes disagreed; resolved by PI ruling R90 as CONTEXT — a ruling whose gloss the house owes; a use resolved by ruling never anchors PUBLISHED

T (c, b, a) = Re c · (b · a)

The text extraction above lost mathematical typography. Restored from the sealed TeX source (rev32.7/tex/appendix_k_yukawa_coefficient_negative.tex:51): T(c,b,a) = Re(c·(b· a)) (R87 house restoration: rendered from the tex, not the quote; the quote above is what the machine gate matched)

Appendix K, §2.1, Theorem 2.1: invariant and nonzero — PDF p.239 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

is Der(Os )-invariant and nonzero.

Appendix K, §2.1, Uniqueness not used — PDF p.239 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

We use only invariance (verified below), not uniqueness; the democracy conclusion does not depend on uniqueness.

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
computational	Appendix K §2.1, Theorem 2.1, p.228: Leibniz-residual and nonzero checks	—	unknown	The suite reports the invariance and nonzero tests; no original trilinear array or executable verifier is supplied.

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	C-TRI-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.
candidate ids (frozen list S304)	C2-052

Drafting-lane note

C2-052 keeps only the nonzero invariant trilinear. Neither the subsection's uniqueness wording nor the local Theorem heading supplies a scorecard tier or a proof of invariant multiplicity.

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 66c7534e7903234eac5d74531e82254d85c9175413a42408935840b4e526c822

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-110 | 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