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 The state is recomputed from the uses on every build and is withdrawn if they stop justifying it.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-edcd1d66976589e453610329 · master cb9ce26d95e37a21 · S327.

LIB2-022 · The finite selector closure retains the stated boundary and coupling price

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.170 (bytes of record)):

The incremental price is 10 + 1 continuous — the boundary object (three faces, priced once) and one positive dark coupling κd — with zero discrete data consumed (Z2 lifts left explicitly as degeneracies)

Statement

The incremental price of the declared finite selector closure is 10 + 1 continuous: one ten-continuous boundary object, represented in three equivalent ways, and one positive dark coupling; discrete lifts remain degeneracies rather than consumed data.

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 incremental price of the declared finite selector closure is 10 + 1 continuous (one claim)
p2 · one ten-continuous boundary object, represented in three equivalent ways, and one positive dark coupling (one claim)
p3 · discrete lifts remain degeneracies rather than consumed data. (one claim)

Scope

carrier	Boundary datum [j] ⇔ L∂ ⇔ E* and dark coupling κd
domain	Incremental price of this selector closure, not a total for the whole programme.
hypotheses	The frozen-frame finite/internal loaded-profile class is fixed.; The boundary equivalence concerns the three registered faces of one datum.
quantifier	The declared class only.
real form	Split-real 56-frame

What this does not show. This incremental price neither derives the boundary datum nor supplies a programme-wide count of physically distinguishable inputs.

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 E, §7, Boundary datum: three faces — PDF p.175 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

The datum the action is conditional on is single: [j] ⇐⇒ L∂ ⇐⇒ E ∗ = span{iB j, ΩiB j} — three faces of one ten-continuous boundary object, priced once.

Appendix E, §7, Boundary selection remains loaded — PDF p.175 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: grok read THE_RECORD → CONTEXT · gemini read SUITE_TEXT_EXTRACT → CONTEXT

The physical selection of this datum remains open/loaded (register clause: Appendix X, §“The Rev31 register clause”).

Appendix E, §7, Closure declaration: incremental price — PDF p.177 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

The incremental price is 10 + 1 continuous — the boundary object (three faces, priced once) and one positive dark coupling κd — with zero discrete data consumed (Z2 lifts left explicitly as degeneracies)

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
registry	A1508 boundary equivalence; A1509 closure declaration, Appendix E §7, pp.168–170	—	shipped	The source reports a non-blind boundary certification and prices its faces once; no new freedom census is performed.

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
`10`	PDF p.170 (bytes of record)	suite text p.170: incremental 10 + 1 census; no kernel line found
`1`	PDF p.170 (bytes of record)	suite text p.170: incremental 10 + 1 census; no kernel line found

Typed links

type	target	licensed by
`related_to` (never evidential)	LIB2-021 The finite loaded-profile parent action has its stated stable minimum	—
`cited_by_section`	E-C04.2.claims-used (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0068
`cited_by_section`	E-C04.2.derivation (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0115
`cited_by_section`	E-C04.2.sources-receipt (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0138

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	C-PAR-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	A1508 A1509
candidate ids (frozen list S304)	C2-105

Drafting-lane note

Price child of C2-105, separate from the minimum/Hessian record G-025. The p.168 non-blind qualification is retained in evidence metadata; no blind credit is created.

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 8f1d264322081cd7eb8e41cf3f6deede48dfc0cc40d5404992fdc5fea42b290c

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-022 | 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