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 1 of 1 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 The state is recomputed from the uses on every build and is withdrawn if they stop justifying it.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-6dda2f99490d90005a73170d · master ac37c14788254b3d · S327.

LIB2-031 · The minimal H2 rank and coefficient price are predeclared

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 H2 minimal-class rank is predeclared: rank 2. The H2 leg’s standing price is stated exactly: six continuous C0 coefficients plus one-map-for-all-η naturality

Statement

The minimal H2 class is predeclared at rank 2, with six continuous C0 coefficients plus one-map-for-all-η naturality retained as its standing price.

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 minimal H2 class is predeclared at rank 2 (one claim)
p2 · with six continuous C0 coefficients plus one-map-for-all-η naturality retained as its standing price. (one claim)

Scope

carrier	The minimal H2 coefficient class
domain	The H2 leg of the finite selector construction.
hypotheses	The rank is predeclared, not selected by this statement.
quantifier	The declared class only.

What this does not show. The predeclared rank and standing price do not determine numerical coefficient values.

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, §8, S284 rulings: H2 rank and price — PDF p.177 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

The H2 minimal-class rank is predeclared: rank 2. The H2 leg’s standing price is stated exactly: six continuous C0 coefficients plus one-map-for-all-η naturality

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
registry	S284.1 rulings as printed in Appendix E §8, p.170	—	shipped	The supplied suite passage reports the ruling or result; the original assessment and computational payload 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.170 (bytes of record)	suite text p.170 only (no kernel line found)
`0`	PDF p.170 (bytes of record)	suite text p.170: C0 coefficient-map label

Typed links

type	target	licensed by
`related_to` (never evidential)	LIB2-030 Target-triviality is forced in the minimal H2 class	—
`cited_by_section`	E-C04.2.claims-used (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0077
`cited_by_section`	E-C04.2.derivation (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0124
`cited_by_section`	E-C04.2.sources-receipt (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0147

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

states a predicate	yes
uses on the record · unblocked	1 · 1
uses any lane has read	1 of 1
REVIEWED SUPPORTS use on the predicate, read by two non-drafting lanes	yes (1)
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-H2-RANK-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.
candidate ids (frozen list S304)	C2-117

Drafting-lane note

C2-117 is retained as a statement of the declared premise and price. Its imported Input/N/A labels are not silently installed at this locator.

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 6741c52a6b7f161271c766847c8ba1824672b7abb15fd8a5fa840422f635995f

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-031 | 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