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 The state is recomputed from the uses on every build and is withdrawn if they stop justifying it.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-3597fb9908367fcccf98ae78 · master ac37c14788254b3d · S327.

LIB2-037 · The declared frame-free invariant class has no nonzero dark response

class CLAIMmath status (as printed) NOT_PRINTEDattachment (as printed) NOT_PRINTEDscorecard tier word (as printed) none printedhouse tier not yet assignedreview state PUBLISHEDentry version 7

Label sentence at the locator (PDF p.166 (bytes of record)):

For the class Cff of C 2 scalars on (E7(7) /SU (8)) × OB that are invariant under the diagonal E7(7) action, with no spurion and a point source space — declared before testing — there is no law with a nonzero dark response:

Statement

The declared class Cff of twice-differentiable scalars invariant under the diagonal E7(7) action, with no spurion and a point source space, has no law with a nonzero dark response.

Scope

carrier	(E7(7)/SU(8)) × OB
domain	The predeclared Cff class, not a basepointed full-carrier law.
group	Diagonal E7(7)
hypotheses	The scalar is twice differentiable and invariant under the diagonal E7(7) action.; There is no spurion, and the source space is a point.
quantifier	The declared class only.
real form	E7(7)/SU(8)

What this does not show. A basepointed full-carrier response exists outside this frame-free reading; its basepoint is convention-loaded.

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 E, §6(ii), Frame-free diagonal-invariant scalar class — PDF p.173 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

For the class Cff of C 2 scalars on (E7(7) /SU (8)) × OB that are invariant under the diagonal E7(7) action, with no spurion and a point source space — declared before testing — there is no law with a nonzero dark response:

The text extraction above lost mathematical typography. Restored from the sealed TeX source (rev32.7/tex/appendix_e_vacuum_selector.tex:187-189): For the class C_ff of C² scalars on (E₇₍₇₎/SU(8))×O_B that are invariant under the diagonal E₇₍₇₎ action, with no spurion and a point source space — declared before testing — there is no law with a nonzero dark response: (R87 house restoration: rendered from the tex, not the quote; the quote above is what the machine gate matched)

Appendix E, §6(ii), Basepointed response boundary — PDF p.173 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

A basepointed full-carrier law does exist and does fire on that fibre, with response exactly t2 , and the rank-two dark projector is minimal; but its basepoint is a convention rather than a consequence, and it carries no Hamiltonian, no action and no observable.

The text extraction above lost mathematical typography. Restored from the sealed TeX source (rev32.7/tex/appendix_e_vacuum_selector.tex:191-194): A basepointed full-carrier law does exist and does fire on that fibre, with response exactly t², and the rank-two dark projector is minimal; but its basepoint is a convention rather than a consequence, and it carries no Hamiltonian, no action and no observable. (R87 house restoration: rendered from the tex, not the quote; the quote above is what the machine gate matched)

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
computational	s1002–s1003, Appendix E §6(ii), p.166	—	unknown	The suite reports this computation; the kernels and their outputs 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
`7`	PDF p.166 (bytes of record)	suite text p.166: E7(7) real-form label

Typed links

type	target	licensed by
`related_to` (never evidential)	LIB2-036 An action depending only on the registered Gram map cannot select a coset point	—
`cited_by_section`	E-C04.2.claims-used (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0083
`cited_by_section`	E-C04.2.derivation (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0107, CIT-0130
`cited_by_section`	E-C04.2.sources-receipt (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0153

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

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	s1002 s1003
candidate ids (frozen list S304)	C2-105

Drafting-lane note

Source-backed missing proposal T4-02, associated with C2-105. The heading saying the class is empty is not restated as absence of all invariant scalars: the excluded property is nonzero dark response.

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 0248dcee47a0bf641325f2de9de0f5718a9e3511a14cb06c03985e8019ef353c

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-037 | 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