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 The state is recomputed from the uses on every build and is withdrawn if they stop justifying it.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-0c5b99e78095b450706b73da · master ac37c14788254b3d · S327.

LIB2-044 · A beat-invariant potential in the declared KN class cannot isolate the dark ray

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.167 (bytes of record)):

no beat-invariant KN potential isolates [W0 ] (the beat-transitivity no-go).

Statement

In the declared unshifted zero-level quadratic-carrier Kempf–Ness class, no beat-invariant potential isolates the selector ray [W0].

Scope

carrier	The beat orbit and selector ray [W0]
domain	The source-stated beat-transitivity obstruction; separate from the Hessian-rank bound.
hypotheses	Use the declared unshifted zero-level quadratic-carrier Kempf–Ness class.; The potential is beat-invariant.
quantifier	The declared class only.

What this does not show. A beat-breaking spurion, dropping the clock circle or leaving the KN family exits this declared class; none is ruled out universally.

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(vii), Beat-transitivity obstruction — PDF p.174 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

no beat-invariant KN potential isolates [W0 ] (the beat-transitivity no-go).

Appendix E, §6(vii), Priced exits and scope — PDF p.174 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

a central shift is available on proper subgroups only; a beat-breaking spurion, dropping the clock circle, or leaving the KN family altogether each exits the declared class. Scope is exactly the declared class; this negative postdates the closure of §7 and prunes its surroundings, not its content.

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
registry	A1512 Ask-2, Appendix E §6(vii), p.167	—	shipped	The beat-transitivity argument and priced escapes are reported in the suite; no original computation is supplied 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
`0`	PDF p.167 (bytes of record)	suite text p.167: [W0] generator index

Typed links

type	target	licensed by
`related_to` (never evidential)	LIB2-043 Unshifted quadratic Kempf–Ness potentials fail the selector-rank test	—
`related_to` (never evidential)	LIB2-023 The grammar detector selects the dark ray	—
`cited_by_section`	E-C04.2.claims-used (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0088
`cited_by_section`	E-C04.2.derivation (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0112, CIT-0135
`cited_by_section`	E-C04.2.sources-receipt (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0158

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	A1512
candidate ids (frozen list S304)	C2-108

Drafting-lane note

Beat-transitivity companion to G-047, associated with C2-108. The source describes priced exits; the record does not propose a new selector or declare those exits successful.

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 d4e98a452d2f50b944fa8f88e65e1b73115b22acf971b839d2239607beda1d5c

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-044 | 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