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 2 of 2 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 The state is recomputed from the uses on every build and is withdrawn if they stop justifying it.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-2a369dab44567ad7e71c26fa · master 7570ddad604d5b37 · S342.

LIB2-059 · The cubic coupling is relevant by the stated power count

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.209 (bytes of record)):

the cubic coupling has mass dimension [c] = (6 − d)/2, relevant in d = 4 exactly as in ϕ3 theory — the same homogeneity that fixes βc in Prop. 6.1.

Statement

For a canonically normalised two-derivative kinetic term, the source's cubic coupling has mass dimension [c] = (6 − d)/2 and is relevant in d = 4.

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 source's cubic coupling has mass dimension [c] = (6 − d)/2 (one claim)
p2 · is relevant in d = 4. (one claim)

Scope

carrier	The cubic coupling in the source's norm-based model
domain	Engineering mass dimension and relevance, not an interacting mass prediction.
hypotheses	Use the cubic interaction and power-counting convention stated in Remark 6.4.
quantifier	The stated cubic model.
real form	J3(Os)

What this does not show. Power-counting relevance does not compute physical mass running or derive a numerical confinement scale.

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 I, §6, Remark 6.4(iii): cubic relevance — PDF p.219 (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 cubic coupling has mass dimension [c] = (6 − d)/2 for a canonically normalised two-derivative kinetic term (a premise, stated Rev32.9), relevant in d = 4 exactly as in ϕ3 theory

Appendix I, §6, Remark 6.4: normalization change — PDF p.219 (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

the legacy vacuum normalization diag(ϕ2 , 1, 0) is superseded by the current {ϕ, 1, ϕ−1 } frame, the structural statements unaffected.

The text extraction above lost mathematical typography. Restored from the sealed TeX source (rev32.7/tex/appendix_i_dynamics_bounce.tex:502-504): the legacy vacuum normalization diag(ϕ²,1,0) is superseded by the current {ϕ,1,ϕ⁻¹} frame, the structural statements unaffected. (R87 house restoration: rendered from the tex, not the quote; the quote above is what the machine gate matched)

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
registry	Appendix I §6, Remark 6.4(iii), p.209; L-CubicRelevant	—	shipped	The power-counting statement is printed in the supplied suite; no new renormalization calculation 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
`6`	PDF p.209 (bytes of record)	closed form: [c] = (6 − d)/2 and d = 4 printed in Remark 6.4(iii)
`2`	PDF p.209 (bytes of record)	closed form: [c] = (6 − d)/2 and d = 4 printed in Remark 6.4(iii)
`4`	PDF p.209 (bytes of record)	closed form: [c] = (6 − d)/2 and d = 4 printed in Remark 6.4(iii)

Typed links

type	target	licensed by
`related_to` (never evidential)	LIB2-058 The cubic scaling model has a constant homogeneity derivative	—

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

states a predicate	yes
uses on the record · unblocked	2 · 2
uses any lane has read	2 of 2
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
candidate ids (frozen list S304)	C2-151

Drafting-lane note

Source-recovered C2-151. The mass-dimension formula is restated without calculating a new decimal or assigning a scorecard tier. The other Hessian properties in Remark 6.4 are separate subjects.

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 b9920ce03128fd2bce63ffc028a14930a87f4c17da666c1c3b5611eda679bda4

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-059 | 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