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 The state is recomputed from the uses on every build and is withdrawn if they stop justifying it.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-219d6e6cdc305d726875fc8a · master cb9ce26d95e37a21 · S327.

LIB2-016 · The physical-vector ten and selector ten are isomorphic modules

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.349 (bytes of record)):

The physical/vector ten (the so(5, 5) vector inside V56 , Kdyn -Casimir 1/6) is isomorphic to the selector ten (two-host certified; kernel s1067)

Statement

Inside V56, the so(5,5) physical-vector ten is isomorphic to the selector ten as a Kdyn module, with Casimir 1/6.

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 · Inside V56, the so(5,5) physical-vector ten is isomorphic to the selector ten as a Kdyn module (one claim)
p2 · with Casimir 1/6. (one claim)

Scope

carrier	Physical/vector ten and selector ten in V56
domain	Appendix X's three-ten carrier fence.
group	Kdyn
hypotheses	The two named carriers and the registered Kdyn action and normalization are fixed.
quantifier	These two modules in the frozen carrier.
real form	so(5,5) vector within the real split-exceptional carrier

What this does not show. This module isomorphism does not identify either ten with the distinct boundary-adjoint module.

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 X, Carrier fence beside clause 27: three tens — PDF p.371 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

The physical/vector ten (the so(5, 5) vector inside V56 , Kdyn -Casimir 1/6) is isomorphic to the selector ten (two-host certified; kernel s1067)

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
computational	s1067; A1522 B1 and A1523 B1, Appendix X carrier fence, p.349	—	unknown	The suite reports this computation; the kernel and its output are not supplied 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
`56`	PDF p.349 (bytes of record)	suite text p.349: V56 carrier label (no kernel line found)
`5`	PDF p.349 (bytes of record)	suite text p.349: so(5,5) real-form label (no kernel line found)
`1/6`	PDF p.349 (bytes of record)	suite text p.349 only (no kernel line found)

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-TENS-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	s1067 A1522 A1523
candidate ids (frozen list S304)	C2-109

Drafting-lane note

Isomorphism child of C2-109. Equal dimension is not used as evidence. The boundary-adjoint inequivalence is a separate record, and the source's two-host wording is not a rerun receipt from this drafting lane.

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 ca4cc4281346dfadf496b252db2eb2d2e71ccfc7d4aacd3bada2aa836e053a16

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-016 | 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