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 2 of 2 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 The state is recomputed from the uses on every build and is withdrawn if they stop justifying it.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-e35363efb28a42cdb6a10fa6 · master ac37c14788254b3d · S327.

LIB2-045 · The braid/trace grammar cannot select the boundary source datum

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.169 (bytes of record)):

no construction internal to the braid/trace grammar can select [j], L∂ , or E ∗ . The boundary price is irreducible within the grammar. Scope: genuinely external categories are not excluded.

Statement

No construction internal to the registered braid/trace grammar selects the boundary source ray [j] or its equivalent descriptions L∂ and E*, because the source-ray symmetry remains transitive.

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 · No construction internal to the registered braid/trace grammar selects the boundary source ray [j] or its equivalent descriptions L∂ and E* (one claim)
p2 · because the source-ray symmetry remains transitive. (one claim)

Scope

carrier	The boundary source datum [j] ⇔ L∂ ⇔ E* and its braid-fixed carrier
domain	Intrinsic boundary-source selection within the grammar, not genuinely external categories.
hypotheses	Only constructions internal to the registered braid/trace grammar are admitted.; The source reports O(16) transitivity on source rays and SO(16) transitivity already on the source sphere.
quantifier	The declared class only.

What this does not show. The grammar can select the separate dark ray; this obstruction concerns the loaded boundary datum and does not exclude external selection laws.

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 E, §7, Boundary-source obstruction — PDF p.175 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

no construction internal to the braid/trace grammar can select [j], L∂ , or E ∗ . The boundary price is irreducible within the grammar. Scope: genuinely external categories are not excluded.

Appendix E, §7, Transitivity sharpening — PDF p.175 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

O(16) acts transitively on source rays — and SO(16) alone is already transitive on S 15 (the A1510 sharpening, closing the connectedness loophole)

The text extraction above lost mathematical typography. Restored from the sealed TeX source (rev32.7/tex/appendix_e_vacuum_selector.tex:325-327): O(16) acts transitively on source rays — and SO(16) alone is already transitive on S¹⁵ (the A1510 sharpening, closing the connectedness loophole) (R87 house restoration: rendered from the tex, not the quote; the quote above is what the machine gate matched)

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
registry	A1507; A1509 Theorem A; A1510 sharpening, Appendix E §7, p.169	—	shipped	The source reports the invariant-inhabitant and transitivity obstruction; original proofs and carrier computations are not supplied.

Typed links

type	target	licensed by
`related_to` (never evidential)	LIB2-022 The finite selector closure retains the stated boundary and coupling price	—
`related_to` (never evidential)	LIB2-023 The grammar detector selects the dark ray	—
`cited_by_section`	E-C04.2.claims-used (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0089
`cited_by_section`	E-C04.2.derivation (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0113, CIT-0136
`cited_by_section`	E-C04.2.prior-art (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0102
`cited_by_section`	E-C04.2.sources-receipt (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0159

Why this record is PUBLISHED (R67, condition T-B)

states a predicate	yes
uses on the record · unblocked	2 · 2
uses any lane has read	2 of 2
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

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
serials	A1507 A1509 A1510
candidate ids (frozen list S304)	C2-105

Drafting-lane note

Additional source-printed boundary obstruction under C2-105, separate from the incremental price G-026 and dark-ray result G-027. The SO(16) sharpening prevents treating connectedness alone as a way around the source obstruction.

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 90ee0598f5fe570a5967e2bd28658a75f97fc87f6d956f589e2b540fecfbd560

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-045 | 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