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 The state is recomputed from the uses on every build and is withdrawn if they stop justifying it.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-139a6ec463800c647d289978 · master 94096cf0b0ea8052 · S330.

LIB2-103 · The registered grading 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(H) ⊂ e7(7) has 79, (43, 36, 0), 1.

Statement

The registered grading centralizer C(H) ⊂ e7(7) has dimension 79, displayed signature (43,36,0), and centre dimension 1.

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 grading centralizer C(H) ⊂ e7(7) has dimension 79 (one claim)
p2 · displayed signature (43,36,0) (one claim)
p3 · centre dimension 1. (one claim)

Scope

carrier	The registered 56-carrier and grading H
domain	The centralizer of H, not of the separate Appendix-H compact generator K.
hypotheses	Use the source’s C(H) centralizer inside e7(7).; Retain the source’s displayed signature convention.
quantifier	The declared source class only.
real form	e7(7)

What this does not show. The presence of compact directions does not fix their angles, and the Appendix-H K is not a member of this centralizer.

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, Grading 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(H) ⊂ e7(7) has 79, (43, 36, 0), 1.

Appendix N, §6, Compactness and generator distinction — PDF p.270 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

Both have positive-dimensional compact subalgebras, but Y , LK , H are noncompact and the Appendix-H K is not in C(H).

Appendix N, §6, Independent compact angle — PDF p.270 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

Appendix G separately supplies a commuting compact Z2 , but leaves its angle independent of DKK .

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
computational	s1159 v2; A1568/D1248, Appendix N §6, p.257	—	unknown	The source reports the centralizer and generator distinctions; no carrier computation is performed here.

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
`7`	PDF p.257 (bytes of record)	suite text p.257 only (no kernel line found)
`79`	PDF p.257 (bytes of record)	suite text p.257 only (no kernel line found)
`43`	PDF p.257 (bytes of record)	suite text p.257 only (no kernel line found)
`36`	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)
`1`	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	—
`related_to` (never evidential)	LIB2-102 The registered Jordan-scaling centralizer has the printed dimension and signature	—

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

Drafting-lane note

Source-backed missing proposal T4-14, associated with C2-104. H and the Appendix-H K are kept distinct, and no intrinsic signature or unprinted carrier identification is added.

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 16c6d274c91eb17605d2d3871cc18dd769fc6747bbbeab1ab3689386e7384ae9

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-103 | 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