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 The state is recomputed from the uses on every build and is withdrawn if they stop justifying it.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-0da6099553d6b5aa8221ef94 · master bd2d1a4de7da2b44 · S338.

LIB2-180 · The transported A689 grading has trivial rather than alternating character

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.316 (bytes of record)):

the A689 split-norm Z2 was computed to carry the trivial, not the alternating, S3 character [A1556].

Statement

The transported A689 split-norm Z2 grading carries the trivial, not alternating, S3 character, so its direct identification with Hsgn is closed negative.

Parts of the statement (2)

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 transported A689 split-norm Z2 grading carries the trivial, not alternating, S3 character (one claim)
p2 · its direct identification with Hsgn is closed negative. (one claim)

Scope

carrier	The transported multiplicative grading and the Hermitian sign-character line
domain	The direct grading-to-sign-line shortcut, not every possible odd response.
hypotheses	Use the registered A689 grading and its transported S3 action.
quantifier	The registered construction and its stated premises.

What this does not show. This character mismatch does not eliminate covariant source-character intertwiners or select an endpoint orientation.

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 T, §15.2, Grading character — PDF p.334 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

the A689 split-norm Z2 was computed to carry the trivial, not the alternating, S3 character [A1556].

Appendix T, §15.1, Dated face-4 amendment — PDF p.333 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

the direct A689 grading route is closed negative because its transported S3 character is trivial [A1556,A1557].

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
computational	A1556; Appendix T §15.2, p.316	—	unknown	The suite reports the character computation. The transported grading and representation arrays 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
`2`	PDF p.316 (bytes of record)	suite text p.316 only (no kernel line found): Z2 grading and S3 character
`3`	PDF p.316 (bytes of record)	suite text p.316 only (no kernel line found): Z2 grading and S3 character

Typed links

type	target	licensed by
`related_to` (never evidential)	LIB2-179 The registered stabilizer has no nonzero invariant odd covector	—

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 (2)
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	F-ODD-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	A689 A1556 A1557
candidate ids (frozen list S304)	C2-134

Drafting-lane note

Character obstruction under C2-134, distinct from the invariant-covector obstruction G-183. A689 is a source serial, not a computed scientific numeral. No multiplication grading is renamed as a sign character.

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 f6682a9f7eb0bd07e781c0ec7ec7ad488994ffc8d63b0689c8a5c82d2b720907

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-180 | 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