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 The state is recomputed from the uses on every build and is withdrawn if they stop justifying it.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-97b524e83cb57c5494fe6811 · master 7147ae21feb6c82a · S338.

LIB2-157 · The connected second moment does not switch off at the later cells

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.131 (bytes of record)):

full-twist identity also excludes exact switch-off (Ωn > 0 at n = 8, 9, 10).

Statement

The ribbon full-twist identity leaves the registered connected Markov second moment strictly positive at n = 8,9,10, excluding exact switch-off there.

Scope

carrier	The connected normalized Markov second moment of the registered annular circulation
domain	Exact switch-off at the stated cells, distinct from the unscored finite support threshold.
hypotheses	Use the ribbon full-twist identity and connected moment specified in Paper 9 §9.
quantifier	The registered construction and its stated premises.

What this does not show. Nonzero later moments do not settle the finite support-threshold test, whose energy coefficient remains open.

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.

Paper 9, §9, Ribbon full-twist obstruction — PDF p.136 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

full-twist identity also excludes exact switch-off (Ωn > 0 at n = 8, 9, 10).

Paper 9, §9, Finite threshold not scored — PDF p.136 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

Because the coefficient in T3 units remains open, the finite < 0.02 T3 support threshold is not scored.

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
computational	A1544, lane c1112; Paper 9 §9, p.131	—	unknown	The suite reports the full-twist and positivity result; the original computation and output are not supplied.

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
`8`	PDF p.131 (bytes of record)	suite text p.131 only (no kernel line found)
`9`	PDF p.131 (bytes of record)	suite text p.131 only (no kernel line found)
`10`	PDF p.131 (bytes of record)	suite text p.131 only (no kernel line found)

Typed links

type	target	licensed by
`related_to` (never evidential)	LIB2-156 The direct Markov-second-moment repair has the wrong sign	—
`related_to` (never evidential)	LIB2-154 The silicon residual passed its original bar and took the typed-obstruction branch	—

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
Track-2 claim ids	E-SI-01, E-ANN2-01 — 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.
serials	A1543 A1544
candidate ids (frozen list S304)	C2-083 C2-128

Drafting-lane note

Switch-off child of C2-083/C2-128. The extraction displaces the moment's order-(2) superscript; the quote is unchanged and the statement names the second moment rather than interpreting it as a square.

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 3cc1e5f02dd8c002995c08c26602ae182f515feefc3039be889b5ee63fa1d920

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-157 | 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