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 The state is recomputed from the uses on every build and is withdrawn if they stop justifying it.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-a5ad82b32f65321bb17fb237 · master aa16040bb884101e · S342.

LIB2-176 · History, character and boundary record are one registered record type

class CLAIMmath status (as printed) NOT_PRINTEDattachment (as printed) NOT_PRINTEDscorecard tier word (as printed) none printedhouse tier not yet assignedreview state PUBLISHEDentry version 9

Label sentence at the locator (PDF p.310 (bytes of record)):

The three ledger descriptions are one object; the “kind” question is closed.

Statement

In the OMOS record process, history, character and boundary record describe one object: squared branch norms equal cylinder probabilities and distinct histories are orthogonal.

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 · history, character and boundary record describe one object (one claim)
p2 · squared branch norms equal cylinder probabilities (one claim)
p3 · distinct histories are orthogonal. (one claim)

Scope

carrier	The classical record process derived from the record-quotient functor
domain	Equivalence of the record descriptions, not selection of a particular realized history.
hypotheses	Use the registered transition process, record isometry and compatible finite-stage characters.
quantifier	The registered construction and its stated premises.

What this does not show. The equivalence of record descriptions does not determine which particular history is realized.

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, §12, Theorem 12.1: record isometry — PDF p.329 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS · grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

squared branch norms equal cylinder probabilities (Rev32.9, A1677 F01); and distinct histories are orthogonal — a strongly decoherent classical record process derived from OMOS .

Appendix T, §12, Theorem 12.1: finite-stage characters — PDF p.329 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT · grok read THE_RECORD → CONTEXT · gemini read SUITE_TEXT_EXTRACT → CONTEXT

Finite-stage characters are exactly point evaluations

Appendix T, §12, Theorem 12.1: common record object — PDF p.329 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS · grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

The three ledger descriptions are one object; the “kind” question is closed.

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
computational	s929; A1449, Appendix T §12, Theorem 12.1, p.310	—	unknown	The source reports the record-isometry and symbolic transition checks; the code and original outputs are not supplied.

Typed links

type	target	licensed by
`depends_on`	LIB2-174 The record-quotient observation composite is unique under its seven premises	Appendix T p.310, Theorem 12.1 explicitly describes the classical record process as derived from OMOS.

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

Referee findings (R73)

Raised by a lane acting as referee and re-measured by the house before being listed (a lane's word alone is not a finding). Only a CONFIRMED finding against the record's predicate blocks PUBLISHED; the others are printed so a reader sees them.

finding	scope	state	what	evidence	affects this record's predicate?
`A1677-F01` A1677	PREDICATE	CLOSED 2026-09-17	'Branch norms equal cylinder probabilities': probabilities are SQUARED branch norms (two equal branches have norms 1/√2 and probabilities 1/2). How it was closed: R133 D-2 (PI, S342): Rev32.9 fix S338.6 landed; LIB2-176 re-typed by R130 row 21 (squared branch norms); uses REVIEWED in round 22.	appendix_t_cartan_observation.tex:772 (Rev32.7) paper: REV32.9_CHANGELOG S338.6 (landed in Rev32.9)	closed

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-ACT-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	A1449 s928 s929
candidate ids (frozen list S304)	C2-085

Drafting-lane note

Record-type child of C2-085. The realized value is separated in G-181 rather than inferred from the record-law construction. The local theorem heading does not supply a scorecard tier.

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 de3bf8de12c033ebe21563d9d7f47c271cba0f17fece8460297fcc3fe0366601

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-176 | 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