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 The state is recomputed from the uses on every build and is withdrawn if they stop justifying it.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-15021b14907eac49a49f6f2f · master 512128af9fe79065 · S327.

LIB2-012 · The Albert-to-shell polarized-cubic solder

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.314 (bytes of record)):

The carrier arc begins with the exact rank-27 solder

Statement

The rank-27 solder B from J3(Os) to the grade −2 shell preserves the full polarized cubic: Cshell(Bx,By,Bz) = Npol(x,y,z).

Scope

carrier	J3(Os) and the grade −2 shell V−2
domain	Tensor equivalence of the Albert and shell carriers.
group	E7(7)
hypotheses	The registered solder B and the source and shell polarized cubics are fixed.
quantifier	The complete polarized-cubic identity for the named solder.
real form	Split Albert algebra inside the real E7(7) carrier

What this does not show. Tensor equivalence does not make the unpointed shell select the transported unit or an intrinsic basepoint.

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 T, §15.1, The solder and transported pointing — PDF p.332 (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

The carrier arc begins with the exact rank-27 solder

Appendix T, §15.1, Polarized-cubic solder identity — PDF p.332 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

B : J3 (Os ) −→ V−2 , Cshell (Bx, By, Bz) = Npol (x, y, z),

Appendix T, §15.1, Transported-point boundary — PDF p.332 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: grok read THE_RECORD → CONTEXT · gemini read SUITE_TEXT_EXTRACT → CONTEXT

The result identifies the Albert and shell carriers; it does not make the unpointed shell choose the transported unit.

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
registry	A1553, as reported in Appendix T §15.1, p.314	—	shipped	Availability refers to the supplied suite passage, not the original assessment or its computational payload.

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
`27`	PDF p.314 (bytes of record)	suite text p.314 only (no kernel line found)
`3`	PDF p.314 (bytes of record)	suite text p.314: J3(Os) carrier label (no kernel line found)
`−2`	PDF p.314 (bytes of record)	suite text p.314: grade -2 shell / V−2 (no kernel line found)

Typed links

type	target	licensed by
`related_to` (never evidential)	LIB2-005 Joint basepoint and microscopic observation-map construction	—
`cited_by_section`	E-C03.1.claims-used (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0011
`cited_by_section`	E-C03.1.derivation (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0021
`cited_by_section`	E-C03.1.prior-art (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0016
`cited_by_section`	E-C03.1.sources-receipt (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0026

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	F-GEO-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	A1553
candidate ids (frozen list S304)	C2-089

Drafting-lane note

Carrier-equivalence child of C2-089. Local polarization is recorded separately. A1553 is an assessment reference printed in the suite; no unprovided kernel filename or output key is guessed.

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 c52bca63e8261c9df5861bb1cd9832aa7e4f7b65550dea0d65d101df3af15b26

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-012 | 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