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 The state is recomputed from the uses on every build and is withdrawn if they stop justifying it.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-94d94a4f3161f1a6d5922e6e · master c7e92a7e45eaadf0 · S342.

LIB2-344 · The generation-count forcing skeleton remains conditional

class CLAIMmath status (as printed) NOT_PRINTEDattachment (as printed) NOT_PRINTEDscorecard tier word (as printed) none printedhouse tier not yet assignedreview state PUBLISHEDentry version 10

Label sentence at the locator (PDF p.335 (bytes of record)):

Hence Ng = 3 is Forced-Conditional: the lower bound |trace| ≥ 3 is proven, while = 3 minimality is conditional on least-action selection and the smooth-continuum limit.

Statement

At the printed forcing-skeleton tier, Ng = 3 is conditional on least-action selection and a smooth, ergodically mixing four-dimensional Lorentzian continuum; the engine still uses the generation count as input.

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 · At the printed forcing-skeleton tier, Ng = 3 is conditional on least-action selection and a smooth, ergodically mixing four-dimensional Lorentzian continuum (one claim)
p2 · the engine still uses the generation count as input. (one claim)

Scope

carrier	The boundary-monodromy forcing skeleton
domain	The printed emergence/minimality argument, not a construction of replicated matter families.
hypotheses	Require an ergodically mixing four-dimensional Lorentzian continuum.; Require the least-action selection and smooth-continuum limit stated for minimality.
quantifier	The source's conditional forcing skeleton and its stated premises.

What this does not show. This does not construct three gauge-identical matter families or prove the assumed continuum limit.

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, Conditional generation-count update, s496/s498 — PDF p.356 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: grok read OUR_QUOTE_AS_PRINTED → SUPPORTS · gemini read OUR_QUOTE_AS_PRINTED → CONTEXT · grok read THE_RECORD → CONTEXT · gemini read SUITE_TEXT_EXTRACT → SUPPORTS · the lanes disagreed; resolved by PI ruling R133 as CONTEXT — a ruling whose gloss the house owes; a use resolved by ruling never anchors PUBLISHED

Requiring an ergodically-mixing four-dimensional Lorentzian continuum to emerge forces the boundary monodromy to be hyperbolic,

Appendix X, Conditional generation-count update, minimality qualification — PDF p.356 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read OUR_QUOTE_AS_PRINTED → SUPPORTS · gemini read OUR_QUOTE_AS_PRINTED → SUPPORTS · grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

Hence Ng = 3 is Forced-Conditional: the lower bound |trace| ≥ 3 is proven, while = 3 minimality is conditional on least-action selection and the smooth-continuum limit.

Appendix X, Engine input remains unchanged — PDF p.356 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read OUR_QUOTE_AS_PRINTED → SUPPORTS · gemini read OUR_QUOTE_AS_PRINTED → SUPPORTS · grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

The engine still takes 3 as an input; this is a separate, conditional derivation, not an unconditional theorem.

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
registry	Appendix X, conditional forcing-skeleton update, p.335	—	shipped	The suite prints the conditional skeleton and leaves the engine input unchanged; this is a source restatement, not a new derivation.
computational	s496/s498, S206; Appendix X p.335	—	unknown	The source names lower-bound and least-dilatation/minimality work. The original kernels and outputs are not supplied or run here.

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
`3`	PDF p.335 (bytes of record)	suite text p.335 only (no kernel line found): conditional generation-count skeleton and retained engine input

Typed links

type	target	licensed by
`related_to` (never evidential)	LIB2-108 The explicit B-map fixes a loaded one-generation field dictionary	—
`related_to` (never evidential)	LIB2-298 Withdrawn physical-generation implication of the triality carrier cycle	—

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 (2)
a SUPPORTS use on the predicate is DISPUTED	no
machine certificate current	yes

Referee findings (R73)

Raised by a lane acting as referee and re-measured by the house before being listed (a lane's word alone is not a finding). Only a CONFIRMED finding against the record's predicate blocks PUBLISHED; the others are printed so a reader sees them.

finding	scope	state	what	evidence	affects this record's predicate?
`A1680-F02` A1680	PROOF	CLOSED 2026-09-17	The source writes 'SL(2,Z)/Sp(4,Z) trace' for one number. Trace 3 bounds the SL(2,Z) seed M₁; its Sym³ lift in Sp(4,Z) has trace t³ − 2t = 21 (house re-derived). The record's statement does not quote the trace. How it was closed: R133 D-2 (PI, S342): Rev32.9 fix S339.2 landed; LIB2-344 quote re-anchored (S342); uses REVIEWED in round 22, dispute ruled CONTEXT (R133 D-1).	appendix_x_zero_parameter_input_ledger.tex:472 (Rev32.7) paper: REV32.9_CHANGELOG S339.2 (landed in Rev32.9)	closed

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	s496 s498
candidate ids (frozen list S304)	C2-157

Drafting-lane note

C2-157 changes from the earlier UNLOCATABLE route: its conditional skeleton is located at p.335. Forced-Conditional is the literal local status, not a permitted mathematical-axis or scorecard label, so no conversion is made. The shared trace numeral does not identify this skeleton with the loaded matter functor, the Morse-cell count or the triality cycle. No new generation-count promotion is made.

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 d46e9569a6443310c0f963b582c47ba17f00aeb0ad85c56f2d7b1e6b814e9dd8

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-344 | 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