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 The state is recomputed from the uses on every build and is withdrawn if they stop justifying it.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-93b87c284c37ee1f46afb869 · master 6d82da907c52e8e6 · S329.

LIB2-096 · The available compact part is too small for compact colour

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.253 (bytes of record)):

The compact colour algebra su(3) (dimension 8) cannot embed in the compact part available to the loaded subimage, whose maximal compact dimension is 6 < 8.

Statement

In the split-real loaded subimage of Appendix N, maximal compact dimension 6 is smaller than dim su(3) = 8, obstructing a compact-colour embedding in that available compact part.

Scope

carrier	The compact part available to the loaded split-octonion subimage
domain	The compact-colour real-form obstruction, distinct from the embedding-tensor charge wall.
group	Compact su(3)
hypotheses	Retain the split real-form setting and the maximal compact part specified in Appendix N, Part N.B.
quantifier	The declared source class only.
real form	Split g2(2) setting of Appendix N, Part N.B

What this does not show. This real-form obstruction does not ban compact colour in other carriers or derive the choice of the physical real form.

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 N, §2, Proposition 2.1: compact-colour obstruction — PDF p.266 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

The compact colour algebra su(3) (dimension 8) cannot embed in the compact part available to the loaded subimage, whose maximal compact dimension is 6 < 8.

Appendix N, §2, Real-form selection remains an input — PDF p.266 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

Hence the physical colour content is not forced by a compactness criterion; the choice of real form is an input.

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
computational	s253; Appendix N §2, Proposition 2.1, p.253	—	unknown	The dimension obstruction is reported in the suite; its original carrier computation is 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
`6`	PDF p.253 (bytes of record)	suite text p.253 only (no kernel line found)
`3`	PDF p.253 (bytes of record)	suite text p.253 only (no kernel line found)
`8`	PDF p.253 (bytes of record)	suite text p.253 only (no kernel line found)

Typed links

type	target	licensed by
`related_to` (never evidential)	LIB2-077 The unitary matter-colour class has no image-compatible adjoint	—
`cited_by_section`	E-C01.2.claims-used (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0001, CIT-0002
`cited_by_section`	E-C01.2.derivation (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0003
`cited_by_section`	E-C01.2.prior-art (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0004

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 (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
serials	s253
candidate ids (frozen list S304)	C2-038

Drafting-lane note

Source-backed missing proposal T4-07, associated with C2-038. It is not the invariant-912 rowspace result G-081, nor a universal colour no-go for the full exceptional algebra.

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 7c46f5d037275bc74cbc529ac853d31303631163d743c033d94810234ebc074a

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-096 | 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