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 The state is recomputed from the uses on every build and is withdrawn if they stop justifying it.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-c75256988cdf766c7075e71c · master 6d82da907c52e8e6 · S329.

LIB2-080 · The shadow family cannot reproduce the registered matter multiset

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.180 (bytes of record)):

four su(3)-singlets in the entire 56, while the matter pattern requires nine inside a 27-plane.

Statement

The residual-class su(3) has only four singlets in the full 56, while the matter pattern requires nine inside a 27-plane; no point of the stated SO(6,2)/SO*(8) vacuum family carries that matter multiset.

Parts of the statement (3)

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 residual-class su(3) has only four singlets in the full 56 (one claim)
p2 · the matter pattern requires nine inside a 27-plane (one claim)
p3 · no point of the stated SO(6,2)/SO*(8) vacuum family carries that matter multiset. (one claim)

Scope

carrier	The full 56 under the residual-class su(3), compared with the required matter 27-plane
domain	The singlet-count obstruction, not a scan claiming all possible matter embeddings are absent.
group	Residual vector-class su(3)
hypotheses	Conjugation preserves the full-carrier representation content.; The faithful su(3) class in the residual so(6) is the source-defined unique conjugacy class.
quantifier	Every point in the stated vacuum family with that residual class.
real form	The stated SO(6,2)/SO*(8) family

What this does not show. This failure does not remove the classical shadow algebra; it rejects its identification with the required matter-charge pattern.

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 F, §5.2, Remark 5.2(b2): singlet count — PDF p.186 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

four su(3)-singlets in the entire 56, while the matter pattern requires nine inside a 27-plane.

Appendix F, §5.2, Remark 5.2(b2): family-wide obstruction — PDF p.186 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

no point of the 36-parameter vacuum family — indeed no su(3) inside any E7 -conjugate of the residual, acting on any 27-plane — can carry the matter multiset.

Appendix F, §5.2, Remark 5.2(b2): named family — PDF p.186 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → CONTEXT · the lanes disagreed; resolved by PI ruling R89 as CONTEXT — a ruling whose gloss the house owes; a use resolved by ruling never anchors PUBLISHED

The demotion is final for the entire SO(6, 2)/SO∗ (8) family.

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
computational	Appendix F Remark 5.2(b), S78/S78b representation-content checks, p.180	—	unknown	The singlet census and its family extension are reported in the suite; no original representation arrays are 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
`3`	PDF p.180 (bytes of record)	suite text p.180 only (no kernel line found)
`56`	PDF p.180 (bytes of record)	suite text p.180 only (no kernel line found)
`27`	PDF p.180 (bytes of record)	suite text p.180 only (no kernel line found)
`6`	PDF p.180 (bytes of record)	suite text p.180 only (no kernel line found)
`2`	PDF p.180 (bytes of record)	suite text p.180 only (no kernel line found)
`8`	PDF p.180 (bytes of record)	suite text p.180 only (no kernel line found)

Typed links

type	target	licensed by
`related_to` (never evidential)	LIB2-079 The scanned dyonic completion hosts a classical algebra-type shadow	—
`related_to` (never evidential)	LIB2-077 The unitary matter-colour class has no image-compatible adjoint	—

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 (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
Track-2 claim ids	B-SHD-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)	C2-042

Drafting-lane note

Charge-pattern child of C2-042, separated from the remnant existence in G-083. The source says the earlier grading-rigidity argument failed; this record uses the full-carrier singlet count instead.

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 5610dade052163bf1c2aef313bdaac60a2bca7f40aaac664d847451c5db40b3b

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-080 | 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