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 The state is recomputed from the uses on every build and is withdrawn if they stop justifying it.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-b7890145023a2892c2241213 · master bd2d1a4de7da2b44 · S338.

LIB2-187 · The unadopted response alternatives retain distinct meanings

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.317 (bytes of record)):

DECLINED (no quotient-tier response-isometry premise; the registered result stays |λµ| ≤ 2 with one continuous magnitude). Neither is adopted.

Statement

PREMISE-UNIT-RESPONSE would impose |λµ| = √2, whereas DECLINED imposes no quotient-tier response-isometry premise and leaves |λµ| ≤ √2 with one continuous magnitude; neither alternative was adopted.

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 · PREMISE-UNIT-RESPONSE would impose |λµ| = √2 (one claim)
p2 · DECLINED imposes no quotient-tier response-isometry premise and leaves |λµ| ≤ √2 with one continuous magnitude (one claim)
p3 · neither alternative was adopted. (one claim)

Scope

carrier	The two unadopted alternatives to the unit grade-four response premise
domain	The stated alternative premises, not two additional chosen physical models.
hypotheses	Use the source's A1560 three-box menu and keep the two alternative meanings distinct.
quantifier	The registered construction and its stated premises.

What this does not show. Neither alternative enters the physical spectral-pair gate, and declining an isometry premise does not fix the response to zero.

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, §15.4, Unit-response isometry alternative — PDF p.335 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

RESPONSE (the cross-object isometry ∥Dφ ∥HS = |λµ| ∥Hsgn ∥HS , hence |λµ| = 2, the D1238 leg

The text extraction above lost mathematical typography. Restored from the sealed TeX source (rev32.7/tex/appendix_t_cartan_observation.tex:1054-1056): RESPONSE (the cross-object isometry ‖D_φ‖_HS=|λμ| ‖H_sgn‖_HS, hence |λμ|=√2, the D1238 leg (R87 house restoration: rendered from the tex, not the quote; the quote above is what the machine gate matched)

Appendix T, §15.4, Declined-isometry alternative — PDF p.335 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

DECLINED (no quotient-tier response-isometry premise; the registered result stays |λµ| ≤ 2 with one continuous magnitude). Neither is adopted.

The text extraction above lost mathematical typography. Restored from the sealed TeX source (rev32.7/tex/appendix_t_cartan_observation.tex:1056-1058): DECLINED (no quotient-tier response-isometry premise; the registered result stays |λμ|≤√2 with one continuous magnitude). Neither is adopted. (R87 house restoration: rendered from the tex, not the quote; the quote above is what the machine gate matched)

Appendix T, §15.4, All-menu output boundary — PDF p.335 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

Under every one of the three the physical spectral-pair gate is not entered, and the 40-row normalization census has no forcing row [A1559,A1560]:

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
registry	A1559/A1560; Appendix T §15.4, p.317	—	shipped	The two alternatives and their non-adoption are printed beside the adopted premise; no new choice is made 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
`√2`	PDF p.317 (bytes of record)	closed form: \|λµ\| = √2 versus \|λµ\| ≤ √2 in the §15.4 alternatives; radicals displaced in extraction

Typed links

type	target	licensed by
`related_to` (never evidential)	LIB2-186 The unit grade-four response is a declared premise	—
`related_to` (never evidential)	LIB2-183 The reversal-covariant score solder bounds the product response	—

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 (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-RESP-PREM-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	A1559 A1560 D1238
candidate ids (frozen list S304)	C2-131

Drafting-lane note

C2-131 over-claims by saying zero response was declined. DECLINED means declining a quotient-tier response-isometry premise while retaining a continuous magnitude. The split heading and displaced radical are preserved in the quotations.

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 6f4b1409acd27695434b54185a705cdc902788585329989b11f93de0176e7052

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-187 | 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