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 1 of 1 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 The state is recomputed from the uses on every build and is withdrawn if they stop justifying it.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-2ac4b6db00b580cecba0b8bf · master cb9ce26d95e37a21 · S327.

LIB2-006 · The registered symplectic exceptional substrate

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.174 (bytes of record)):

the certified ambient E7(7) substrate (V1–V6: 133 generators on the 56, signature +7, symplectic, quartic-invariant stabilizer of dimension exactly 133)

Statement

The registered split E7(7) substrate acts on the real 56 through 133 generators, preserves the symplectic form, and has a quartic-invariant stabilizer of dimension 133.

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 split E7(7) substrate acts on the real 56 through 133 generators (one claim)
p2 · preserves the symplectic form (one claim)
p3 · has a quartic-invariant stabilizer of dimension 133. (one claim)

Scope

carrier	Real V56 and its registered generator action
domain	Appendix F §1: ambient substrate, not the embedding-tensor or potential layers.
group	E7(7)
hypotheses	The project's e7_substrate construction and V1–V6 conventions are fixed.
quantifier	The registered carrier and source conventions.
real form	E7(7)

What this does not show. This carrier realization does not select a compact Standard-Model frame, a gauging or a physical observable.

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, §1, Scope and provenance: V1–V6 — PDF p.180 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

the certified ambient E7(7) substrate (V1–V6: 133 generators on the 56, signature +7, symplectic, quartic-invariant stabilizer of dimension exactly 133)

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
computational	e7_substrate module, V1–V6, Sessions S71–S77; Appendix F §1, p.174	—	unknown	The suite reports this computation; the kernel and its output are not supplied in this round.

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
`56`	PDF p.174 (bytes of record)	suite text p.174 only (no kernel line found)
`133`	PDF p.174 (bytes of record)	suite text p.174 only (no kernel line found)

Typed links

type	target	licensed by
`cited_by_section`	E-C03.1.claims-used (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0009
`cited_by_section`	E-C03.1.derivation (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0020
`cited_by_section`	E-C03.1.prior-art (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0015
`cited_by_section`	E-C03.1.sources-receipt (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0024

Why this record is PUBLISHED (R67, condition T-B)

states a predicate	yes
uses on the record · unblocked	1 · 1
uses any lane has read	1 of 1
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
Track-2 claim ids	A-SUB-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)	C2-035

Drafting-lane note

C2-035 is restricted to the ambient realization reported at p.174. The adjective 'certified' is preserved in the quote, but no explicit two-axis label or scorecard tier is supplied at this locator. No source-array execution is claimed.

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 65ff7b43195e41d7a67d71a998315b3e104f3152e5ec45cd8933231f3a77b1e1

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-006 | 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