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 The state is recomputed from the uses on every build and is withdrawn if they stop justifying it.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-cd4a7c2322eef51ca11b402b · master 7147ae21feb6c82a · S338.

LIB2-156 · The direct Markov-second-moment repair has the wrong sign

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.131 (bytes of record)):

the canonical connected Markov second moment is non-negative, whereas the required n = 6, 7 binding correction is negative, so the annular order does not derive the negative energy coefficient that would reverse the sign;

Statement

The canonical connected Markov second moment is non-negative, while the required binding correction at n = 6,7 is negative; the declared direct second-moment repair lacks the negative energy coefficient needed to reverse the sign.

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 canonical connected Markov second moment is non-negative (one claim)
p2 · the required binding correction at n = 6,7 is negative (one claim)
p3 · the declared direct second-moment repair lacks the negative energy coefficient needed to reverse the sign. (one claim)

Scope

carrier	The connected normalized Markov second moment in Aφ = ATLφ/⟨f4⟩
domain	The direct second-moment binding-repair class, not all possible energy attachments.
hypotheses	Use the canonical connected normalized Markov second moment of the registered mirror-odd circulation.; The required correction is the source's negative six-to-seven-cell deficit.
quantifier	The registered construction and its stated premises.

What this does not show. This excludes the declared direct attachment, not every annular operator or an independently derived negative energy map.

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, Direct annular second-moment attachment — PDF p.136 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

the canonical connected Markov second moment is non-negative, whereas the required n = 6, 7 binding correction is negative, so the annular order does not derive the negative energy coefficient that would reverse the sign;

Paper 9, §9, Closure of the direct repair class — PDF p.136 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → SUPPORTS · the lanes disagreed; resolved by PI ruling R116 as CONTEXT — a ruling whose gloss the house owes; a use resolved by ruling never anchors PUBLISHED

Thus the direct Markov- second-moment repair class is closed negative (A1544, lane c1112),

Paper 9, Table 1 caption, Reopening boundary — PDF p.135 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

a reopen needs a different localized operator or a derived negative energy map

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
computational	c1112; A1543/A1544, Paper 9 §9, p.131	—	unknown	The suite reports the moment-sign obstruction; the lane calculation and its output are not 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
`6`	PDF p.131 (bytes of record)	suite text p.131 only (no kernel line found)
`7`	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)	LIB2-154 The silicon residual passed its original bar and took the typed-obstruction branch	—
`related_to` (never evidential)	LIB2-144 The cluster-ledger interface is the declared weight-to-energy map	—

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
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

The direct-attachment clause of C2-083 merges with C2-128. The sign obstruction is separated from exact switch-off and the other annular tests. No negative coupling or repair is introduced.

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 4e0b4dc922aefbdd89a4fb49603b6465f655450c474a28bbd613f20405e623d8

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-156 | 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