PUBLISHED under R124 (condition T-R, retired records) — NOT house-adjudicated. Build S371a. What PUBLISHED means here: this record states what an EARLIER presentation said. Its archive row was located in the files named below, and two non-drafting AI lanes (gemini + grok) — one reading this page, one reading the archive text supplied to it — agreed the archive ATTESTS the historical statement; 2 of 2 unblocked suite citations were REVIEWED and none is disputed; its machine certificate is current. What it does not mean: no person has signed off (NOT_ADJUDICATED); the retired claim is not endorsed — it is recorded as retired; the drafting lane's reads count for nothing. Receipt: condition R124-TR · archive LIBRARY_V1_GROK_ARCHIVE_S304.md, P28 (LIBRARY_V1_GROK_ARCHIVE_S304.md) · master 8b3ea217e8c760b1 · S339.

LIB2-297 · Retired compact-colour subgroup claim in the split-G2 real form

class RETIREDmath status (as printed) —attachment (as printed) —scorecard tier word (as printed) none printedhouse tier not yet assignedreview state PUBLISHEDentry version 7

Statement

The archived branching prompt presented compact colour as a maximal subgroup of the split-G2 real form.

Scope

domain	The compact-colour inclusion asserted by P28 in the named split real form, not all colour embeddings.

What this does not show. The obstruction concerns the named split real form and does not exclude compact colour on a separately chosen carrier or real form.

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

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, Part N.B, Real-form choice remains an input — PDF p.266 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

These fix the ambient real-form geometry but do not remove the selector: the real form is chosen, not derived.

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
registry	Library v1 P28; Appendix N Part N.B, Proposition 2.1, p.253	—	shipped	The archive supplies a prompt title, not its production body. The suite supplies the real-form-specific obstruction; its kernel is not rerun.

What was said, and what retired it

historical statement	P28: SU(3)_color as Maximal Subgroup of G₂(2) — Branching Rules
where it stood	LIBRARY_V1_GROK_ARCHIVE_S304.md, P28
retiring decision	Appendix N Part N.B, Proposition 2.1, s253, states the opposite inclusion obstruction; exact P28 retirement chronology not located in suite
what the suite prints now	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. PDF p.253 (bytes of record)
successor records	LIB2-096 The available compact part is too small for compact colour
why retired	RELATION_NOT_RECORDED — the retiring decision names only what replaced the claim ("not located in suite; current-target replacement in …"); the reason the old claim went was never recorded, and the house does not infer one from a pointer (R42 census S322, ruled R69).
archive row located	LOCATED — 1 of 1 parts found in `LIBRARY_V1_GROK_ARCHIVE_S304.md` (sha256 28f35aac4e91e1ca…) (locator 8db2c73d69dff9f1, S339)
the archive rows, verbatim	LIBRARY_V1_GROK_ARCHIVE_S304.md, line 280 \| P28 \| proof \| 1.F \| Foundation Proofs \| Paper 1 — J₃(𝕆ₛ) and the Standard Model \| awaiting_production \| prompt_ready \| yes \| P28: SU(3)_color as Maximal Subgroup of G₂(2) — Branching Rules \|
does the archive attest it?	REVIEWED · ATTESTS gemini · ATTESTS · ARCHIVE_TEXT_SUPPLIED (D1341, A1694) — HIGH — The prompt identifies "SU(3)_color as Maximal Subgroup of G₂(2)". grok · ATTESTS · THE_RECORD (D1340, A1693) — HIGH — P28 titles compact colour as a maximal subgroup of G₂(2).

A successor is linked, never "derived from" the retired statement (charter §10.10).

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	no (0)
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`	N/A	class RETIRED not governed by the source_labels rule
`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	P28
serials	s253
candidate ids (frozen list S304)	C2-038

Drafting-lane note

This completes the P28 source comparison. Only its compact-colour inclusion is retired. The archived prompt is not treated as a completed proof, and no chronological retiring assessment is invented.

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 a197f5bb12edf847701e2baceb03e6bf86078ba15559cd4f85fd43509c1d2165

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-297 | 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