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 The state is recomputed from the uses on every build and is withdrawn if they stop justifying it.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-62a48c50deca2c37593b52b8 · master 94096cf0b0ea8052 · S330.

LIB2-102 · The registered Jordan-scaling centralizer has the printed dimension and signature

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.257 (bytes of record)):

C(Lvac ) ⊂ e6(6) has dimension/signature/centre 30, (18, 12, 0), 2,

Statement

The registered scaling centralizer C(Lvac) ⊂ e6(6) has dimension 30, displayed signature (18,12,0), and centre dimension 2.

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 registered scaling centralizer C(Lvac) ⊂ e6(6) has dimension 30 (one claim)
p2 · displayed signature (18,12,0) (one claim)
p3 · centre dimension 2. (one claim)

Scope

carrier	The registered 27-carrier and scaling operator Lvac
domain	The single registered Jordan-scaling centralizer.
hypotheses	Use the source’s centralizer C(Lvac) inside e6(6).; Retain the displayed signature convention; no different bilinear form or real-form label is inferred.
quantifier	The declared source class only.
real form	e6(6)

What this does not show. A compact subalgebra inside the centralizer does not select a complex structure, angle or physical rung-to-phase map.

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, §6, Jordan-scaling centralizer census — PDF p.270 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

C(Lvac ) ⊂ e6(6) has dimension/signature/centre 30, (18, 12, 0), 2,

Appendix N, §6, Compact subalgebras do not select the phase law — PDF p.270 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

No one-law (JL , α) is selected; any attachment remains Loaded-correspondence.

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
computational	s1159 v2; A1568/D1248, Appendix N §6, p.257	—	unknown	The suite reports the centralizer tuple; matrices, bilinear-form payloads and numerical outputs are not attached.

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.257 (bytes of record)	suite text p.257 only (no kernel line found)
`30`	PDF p.257 (bytes of record)	suite text p.257 only (no kernel line found)
`18`	PDF p.257 (bytes of record)	suite text p.257 only (no kernel line found)
`12`	PDF p.257 (bytes of record)	suite text p.257 only (no kernel line found)
`0`	PDF p.257 (bytes of record)	suite text p.257 only (no kernel line found)
`2`	PDF p.257 (bytes of record)	suite text p.257 only (no kernel line found)

Typed links

type	target	licensed by
`related_to` (never evidential)	LIB2-101 The registered ladder and phase census contains no selected complex rung ratio	—

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

Referee findings (R73)

Raised by a lane acting as referee and re-measured by the house before being listed (a lane's word alone is not a finding). Only a CONFIRMED finding against the record's predicate blocks PUBLISHED; the others are printed so a reader sees them.

finding	scope	state	what	evidence	affects this record's predicate?
`A1652-F05` A1652	NOTHING_FOUND	AGREED	The lane looked for a contradiction between the displayed nondegenerate signatures and the nonzero centre dimensions and found none: both records say 'displayed signature' and the earlier receipt names the ambient trace form; a centre is null for the intrinsic Killing form and need not be for an ambient form's restriction. The house agrees and records that the lane declined to turn a signature into an identification (the S299 standing rule).	Appendix N §6 p.257; D1248_TURN3_PASTE.md; Appendix G §4 p.187. paper: REV33.2_PENDING S330·A1652	no — the predicate is unaffected

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	s1159 A1568 D1248
candidate ids (frozen list S304)	C2-104

Drafting-lane note

Source-backed missing proposal T4-13, associated with C2-104. The printed signature is copied without reinterpreting it as an intrinsic semisimple signature or adding a real-form classification.

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 29026f0207a086c3a77eade2c2e284064408a6679d3501a9eb78240bd5373a3e

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-102 | 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