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 The state is recomputed from the uses on every build and is withdrawn if they stop justifying it.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-bd7b59a99b35066dffde3e8a · master aa16040bb884101e · S342.

LIB2-161 · The registered up–down operation is a parity, not a derived isospin action

class CLAIMmath status (as printed) NOT_PRINTEDattachment (as printed) NOT_PRINTEDscorecard tier word (as printed) none printedhouse tier not yet assignedreview state PUBLISHEDentry version 11

Label sentence at the locator (PDF p.133 (bytes of record)):

The only registered u ↔ d object is the Os conjugation e7 → −e7 (Hu ↔ Hd ; A689 dictionary) — a Z2 parity, not an SU (2)

Statement

The registered u ↔ d operation is the split-octonion sign map e7 → −e7, exchanging Hu and Hd as a Z2 parity rather than a derived SU(2) action.

Parts of the statement (4)

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 u ↔ d operation is the split-octonion sign map e7 → −e7, exchanging Hu and Hd as a Z2 parity (cut further below)
p1-p1 · The registered u ↔ d operation is the split-octonion sign map e7 → −e7 (one claim)
p1-p2 · exchanging Hu and Hd as a Z2 parity (one claim)
p2 · rather than a derived SU(2) action. (one claim)

Scope

carrier	The split-octonion sign map e7 → −e7 on the loaded up/down Higgs dictionary
domain	The registered up–down operation, not a derived nuclear SU(2) dynamics.
hypotheses	Use the A689 field dictionary and its registered sign map (read literally, the flip of e7 alone; neither it nor full conjugation is a Jordan automorphism).
quantifier	The registered construction and its stated premises.

What this does not show. The parity does not construct a continuous isospin action or supply the missing QCD flip energy.

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, §9, Registered up–down operation — PDF p.138 (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 only registered u ↔ d object is the Os sign map e7 → −e7 (Hu ↔ Hd ; A689 dictionary; read literally, the flip of e7 alone — s1170 shows the phrase also fits full conjugation, and neither map is a Jordan automorphism) — a Z2 parity, not an SU (2)

Paper 9, §9, Scalar Peirce action — PDF p.138 (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 Peirce 12 is scalar on blocks and induces χ = 0.

The text extraction above lost mathematical typography. Restored from the sealed TeX source (rev32.7/tex/p9_nuclear_cluster_tier.tex:450): the Peirce 1/2 is scalar on blocks and induces χ=0. (R87 house restoration: rendered from the tex, not the quote; the quote above is what the machine gate matched)

Paper 9, §9, Missing flip energy — PDF p.138 (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 e7 flip carries no energy

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
computational	s1122–s1124/s1129; A689 dictionary, Paper 9 §9, p.133	—	unknown	The source reports the parity and scalar-block checks; no operator or flip-energy computation is performed in this round.

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
`7`	PDF p.133 (bytes of record)	suite text p.133: e7 conjugation, Z2 parity and SU(2) distinction; no kernel line found
`2`	PDF p.133 (bytes of record)	suite text p.133: e7 conjugation, Z2 parity and SU(2) distinction; no kernel line found

Typed links

type	target	licensed by
`related_to` (never evidential)	LIB2-160 The fixed-Z isospin coefficient is selected rather than derived	—
`related_to` (never evidential)	LIB2-108 The explicit B-map fixes a loaded one-generation field dictionary	—

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 (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	E-ISO-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	A689 s1122 s1123 s1124 s1129
candidate ids (frozen list S304)	C2-129

Drafting-lane note

Parity child of C2-129, separate from the selected Casimir coefficient. The Peirce fraction is flattened as 12 in the source quote and is not repaired there.

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 1da0dbf7e4438d88577deeb9f05db0ff19c0a064c9a29c7379060101bf1123ef

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-161 | 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