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 The state is recomputed from the uses on every build and is withdrawn if they stop justifying it.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-e15b1fd8eddf2b46c1503a87 · master c7e92a7e45eaadf0 · S342.

LIB2-162 · The registered breathing weight is mirror-even and charge-blind

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.130 (bytes of record)):

The breathing kernel (A1357): the same object, typed — the trace-free breathing excitation of the α + 3-body bridge, mirror-even and charge-blind, priced by

Statement

The registered trace-free breathing excitation of the alpha-plus-three-body bridge has weight Δbr = ϕ⁻¹⁵ − ϕ⁻¹⁸ and is mirror-even and charge-blind.

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 registered trace-free breathing excitation of the alpha-plus-three-body bridge has weight Δbr = ϕ⁻¹⁵ − ϕ⁻¹⁸ (one claim)
p2 · is mirror-even (one claim)
p3 · charge-blind. (one claim)

Scope

carrier	The trace-free breathing generator in the frozen cluster menu
domain	The typed breathing weight, distinct from the Hoyle comparison and its energy interface.
hypotheses	Use the registered bridge typing and the existing triangle/heptad and annulus weights.
quantifier	The registered construction and its stated premises.

What this does not show. The weight does not determine whether the excitation occurs in every parent typing; the A = 8 accounting remains open.

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.

Paper 9, §7, Breathing-kernel typing — PDF p.134 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

The breathing kernel (A1357): the same object, typed — the trace-free breathing excitation of the α + 3-body bridge, mirror-even and charge-blind, priced by

Paper 9, §7, Breathing weight and reused constants — PDF p.134 (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

∆br = φ−15 − φ−18 with zero new constants (15 = 8 + 7 reused; −φ−18 = the annulus subtraction, seventh ap- pearance).

Paper 9, §9, Unchecked parent occurrence — PDF p.138 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

Whether ∆br is present in the A = 8 parents is an unchecked naturality square:

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
registry	A1357; Paper 9 §7, p.130	—	shipped	The supplied suite states the weight and its typing. The typing kernel and original numerical outputs 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
`−15`	PDF p.130 (bytes of record)	closed form: ∆br = φ−15 − φ−18 printed in Paper 9 §7
`−18`	PDF p.130 (bytes of record)	closed form: ∆br = φ−15 − φ−18 printed in Paper 9 §7

Typed links

type	target	licensed by
`related_to` (never evidential)	LIB2-143 The exhibited winding-to-Fibonacci functor defines the finite cluster image	—
`related_to` (never evidential)	LIB2-152 The Hoyle excitation passes the source's frozen bar	—
`related_to` (never evidential)	LIB2-144 The cluster-ledger interface is the declared weight-to-energy map	—

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	E-FUN-01, E-HOY-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	A1357
candidate ids (frozen list S304)	C2-073 C2-075

Drafting-lane note

Additional generator subject under C2-073/C2-075. The difference of powers here is not the sum used for the Hoyle excitation. The open parent-accounting question is not settled by the generator's existence.

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 e79529b00eb34fe0e4d74e597976bd28e4a144f399bb8b8f8dbb9efd07191f68

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-162 | 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