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 4 of 4 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 The state is recomputed from the uses on every build and is withdrawn if they stop justifying it.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-8e292fc1365519db3de813f6 · master 7147ae21feb6c82a · S338.

LIB2-174 · The record-quotient observation composite is unique under its seven premises

class CLAIMmath status (as printed) NOT_PRINTEDattachment (as printed) NOT_PRINTEDscorecard tier word (as printed) none printedhouse tier not yet assignedreview state PUBLISHEDentry version 11

Label sentence at the locator (PDF p.309 (bytes of record)):

It contains no continuous modulus. What the microscopic theory has not done is select it.

Statement

The record-quotient functor OMOS is unique without a continuous modulus under additivity, unitality, minimality, Pin typing, OS typing, isometry and a whitened source; the microscopic theory has not selected it.

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 record-quotient functor OMOS is unique without a continuous modulus under additivity, unitality, minimality, Pin typing, OS typing, isometry and a whitened source (one claim)
p2 · the microscopic theory has not selected it. (one claim)

Scope

carrier	The ordered-state to record-quotient observation composite
domain	The ordered-state / record-quotient functor, not the distinct microscopic mass/generation observation map.
hypotheses	Require additivity, unitality, minimality, Pin typing, OS typing, isometry and the whitened source.; Use the registered ordered state pair and its modular score.
quantifier	The registered construction and its stated premises.

What this does not show. This construction does not select a microscopic realization, restore excluded support or build the distinct mass/generation observation 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.

Appendix T, §10, Named datum 10.7: composite and premises — PDF p.327 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read OUR_QUOTE_AS_PRINTED → SUPPORTS · gemini read OUR_QUOTE_AS_PRINTED → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

The composite — ordered state pair → modular score → unital-CP normalized readout → minimal dilation → Pin/OS-even spectral calculus — is unique under seven premises, each with a verified countermodel showing it has teeth: additivity, unitality, minimality, Pin typing, OS typing, isometry, and the whitened source.

Appendix T, §10, Named datum 10.7: nonselection — PDF p.327 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read OUR_QUOTE_AS_PRINTED → SUPPORTS · gemini read OUR_QUOTE_AS_PRINTED → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

It contains no continuous modulus. What the microscopic theory has not done is select it.

Appendix T, §10, Record-quotient level fence — PDF p.327 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: grok read OUR_QUOTE_AS_PRINTED → CONTEXT · gemini read OUR_QUOTE_AS_PRINTED → CONTEXT · gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → CONTEXT · 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

OMOS is the ordered-state / record-quotient observation functor and nothing more;

Appendix T, §10, Distinct mass/generation map — PDF p.327 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: grok read OUR_QUOTE_AS_PRINTED → CONTEXT · gemini read OUR_QUOTE_AS_PRINTED → CONTEXT · gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

the microscopic mass/generation observation map Ogen — the map that would read the noncommuting pair (Yu , Yd ) and a relative left frame off the parent — is a distinct object and is not built (§15, face 6).

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
registry	A1447; Appendix T §10, Named datum 10.7, p.309	—	shipped	The supplied source states conditional uniqueness and lists the premises; the original countermodels are not supplied.

Premises this record rests on (qualified uses)

Each row is a house-declared use of a registered premise (R37). DECLARED is the house's editorial judgment only; a use becomes REVIEWED when two non-drafting lanes, reading different objects, agree the premise is LOAD_BEARING for this record's result. REJECTED rows were retired by ruling and are shown for provenance.

use	state	premise	role	why the house declared it · reads
`USE-0014`	REJECTED by PI (R82)	PRM-005 (PRM-005/r1) — AX-MOS	adopted_physical	The OMOS record-quotient uniqueness rests on the MOS typing among its seven stated premises.

Typed links

type	target	licensed by
`depends_on`	LIB2-173 The ordered state pair supplies the additive relative modular score	Appendix T p.309, Named datum 10.7 explicitly includes the ordered-state modular-score step in the composite.

Why this record is PUBLISHED (R67, condition T-B)

states a predicate	yes
uses on the record · unblocked	4 · 4
uses any lane has read	4 of 4
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-OMOS-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	A1447 s926
candidate ids (frozen list S304)	C2-093

Drafting-lane note

C2-093 retains its record-quotient scope. Uniqueness under the listed premises is not microscopic selection. No physical attachment label is inferred from the imported manifest.

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 071a5ada6acf918804479ecf23ba4fda8cc63e3f2f3b0cb4600af868cbecb059

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-174 | 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