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 The state is recomputed from the uses on every build and is withdrawn if they stop justifying it.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-a6ea15de03e982f82eefb5a2 · master 512128af9fe79065 · S327.

LIB2-011 · The cubic Jordan slice is a Lagrangian boundary of the FTS

class CLAIMmath status (as printed) NOT_PRINTEDattachment (as printed) NOT_PRINTEDscorecard tier word (as printed) none printedhouse tier not yet assignedreview state PUBLISHEDentry version 7

Label sentence at the locator (PDF p.348 (bytes of record)):

Writing LJ = Re− ⊕ J+2 for the slice carrying the golden ladder:

Statement

The slice LJ = Re− ⊕ J+2 carrying the golden ladder is a 28-dimensional Lagrangian subspace of the real FTS 56.

Scope

carrier	LJ = Re− ⊕ J+2 in the Freudenthal carrier
domain	The kinematic Jordan-boundary statement in Appendix X.
group	E7(7)
hypotheses	The registered FTS symplectic form and the named mass-coordinate slice are fixed.
quantifier	The named real slice and symplectic pairing.
real form	Split J3(Os), E7(7)

What this does not show. The symplectic form contributes kinematics, not a mass-sector Hamiltonian or dynamics selector; the conjugate-section attachment 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.

Appendix X, P0-1 audit, The result: definition of LJ — PDF p.369 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: grok read THE_RECORD → CONTEXT · gemini read SUITE_TEXT_EXTRACT → SUPPORTS · the lanes disagreed; resolved by PI ruling R74 as CONTEXT — R74 (S327): the principal investigator ruled the six disputed readings of read round 1 (D1284/D1285); a use resolved by ruling never anchors PUBLISHED

Writing LJ = Re− ⊕ J+2 for the slice carrying the golden ladder:

The text extraction above lost mathematical typography. Restored from the sealed TeX source (rev32.7/tex/appendix_x_zero_parameter_input_ledger.tex:1033-1034): Writing L_J=ℝ e₋⊕ J₊₂ for the slice carrying the golden ladder: (R87 house restoration: rendered from the tex, not the quote; the quote above is what the machine gate matched)

Appendix X, P0-1 audit, The result: maximal isotropy — PDF p.369 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

LJ is a Lagrangian subspace — maximal isotropic as an identity, not by a dimension count.

Appendix X, P0-1 audit, The disposition — PDF p.370 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: grok read THE_RECORD → CONTEXT · gemini read SUITE_TEXT_EXTRACT → CONTEXT

The FTS is the symplectic bulk vectorization of the cubic Jordan Lagrangian boundary.

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
computational	s957 blind reproduction, named by C2-032; Appendix X P0-1 result, p.348	—	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
`2`	PDF p.348 (bytes of record)	suite text p.348: the J+2 grade label (no kernel line found)
`28`	PDF p.348 (bytes of record)	suite text p.348 only (no kernel line found)
`56`	PDF p.348 (bytes of record)	suite text p.348 only (no kernel line found)

Typed links

type	target	licensed by
`cited_by_section`	E-C03.1.claims-used (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0010
`cited_by_section`	E-C03.1.derivation (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0019
`cited_by_section`	E-C03.1.prior-art (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0014
`cited_by_section`	E-C03.1.sources-receipt (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0025

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	A-FTS-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	s957
candidate ids (frozen list S304)	C2-032

Drafting-lane note

This restates the narrow surviving sentence at p.348. It does not incorporate the unlocated integral-lattice or homogeneous-section assertions of C2-034. The old source row's Proved/N/A labels are not imported into the literal-label fields.

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 fda5dab99db77b8484e7c040bff52432dee31af48504a4a40480ec6c22361c13

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-011 | 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