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 The state is recomputed from the uses on every build and is withdrawn if they stop justifying it.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-d8b40833dd96160c312305de · master 94096cf0b0ea8052 · S330.

LIB2-115 · The unrestricted residue map can reproduce any positive Yukawa quartet

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.230 (bytes of record)):

Because the residue map is rank 4 over eight inde- pendent Z-factors, the eight residues can realize any positive Yukawa quartet.

Statement

The registered residue-incidence map has rank 4 over eight independent Z-factors, so free field residues can realize any positive Yukawa quartet.

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 registered residue-incidence map has rank 4 over eight independent Z-factors (one claim)
p2 · free field residues can realize any positive Yukawa quartet. (one claim)

Scope

carrier	The log-residue incidence map on the four registered Yukawa channels
domain	Freedom of the unconstrained residue map, not residues derived from a parent.
hypotheses	Use the stated four channel supports and eight independent positive residue factors.; The common vertex normalization is fixed.
quantifier	The registered construction and its stated hypotheses.

What this does not show. Reproducing a quartet through free residues does not explain it; the parent must determine the residues and thresholds.

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 K, §3.5, Incidence rank — PDF p.242 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

The corresponding 4 × 8 incidence matrix has rank 4 (each channel carries a unique pivot Z-factor).

Appendix K, §3.5, Theorem 3.1: residue freedom — PDF p.242 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

Because the residue map is rank 4 over eight inde- pendent Z-factors, the eight residues can realize any positive Yukawa quartet.

Appendix K, §3.5, Parent-action obligation — PDF p.242 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

The four coefficients are therefore underdetermined unless the parent action itself derives the residues and thresholds.

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
analytic	Appendix K §3.5, Theorem 3.1, p.230	—	shipped	The source gives the channel supports, rank argument and underdetermination conclusion; no new rank 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
`4`	PDF p.230 (bytes of record)	suite text p.230: rank-four incidence map in Theorem 3.1

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?
`A1652-F03` A1652	PROPAGATION	CONFIRMED	The eight-independent-residue count needs a stated Higgs-reality convention. House sharpening: App K §3.5 p.230 itself writes the channel supports with a single Higgs and its CONJUGATE ({Qu^c H}, {Qd^c H^c}, {Le^c H^c}, {Lnu^c H}) and in the same paragraph counts eight INDEPENDENT Z-factors. Merging the two Higgs columns leaves rank 4 with kernel 3 instead of 4 (s1171 T4). The underdetermination conclusion survives either reading.	Appendix K §3.5 p.230; Paper 1 §6 H_u/H_d notation; house kernel s1171 T4a-T4e. paper: REV33.2_PENDING S330·A1652	no — the predicate is unaffected

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-RES-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	A1051
candidate ids (frozen list S304)	C2-050

Drafting-lane note

C2-050 is the full unconstrained field-residue map, not the edge-uniform parent map of C2-049. Its full rank must not be credited to that more restrictive parent geometry.

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 376fbeab5bc533b5c24ea833c48378191a23df66ddf70f16e979d4fc12c9a0af

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-115 | 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