Claims & Evidence Registrar › H09

LIB2-248 · Withdrawn universal two-parameter mass-completion no-go

class RETIREDmath status (as printed) —attachment (as printed) —scorecard tier word (as printed) none printedhouse tier not yet assignedreview state PUBLISHEDentry version 7

Statement

The earlier mass-completion account claimed that every completion with at most two parameters was impossible.

Scope

domainThe withdrawn universal parameter-count exclusion, not the exact single-chi additive class.
What this does not show. Withdrawing the universal claim does not rescue the exact single-chi class or make the fitted harmonic a derived replacement law.

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Appendix O, §5, Remark 5.2: withdrawn universal parameter bound — PDF p.276 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

The blanket “≤ 2-parameter completion is impossible” claim is therefore withdrawn; the honest statement is that surveyed one-parameter forms fail and no universal ≤ 2-parameter no-go is proved.

Appendix O, §5, Remark 5.2: fitted counterexample not adopted — PDF p.276 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

a banked-period-70 two-parameter harmonic a cos(6πN/70) + b sin(6πN/70) passes the 0.1% bar at max |∆d| = 3.04 × 10−4 but only fitted (refused adoption); were its two coefficients ever derived, this row reopens.
The text extraction above lost mathematical typography. Restored from the sealed TeX source (rev32.7/tex/appendix_o_restmass_program.tex:232-235): a banked-period-70 two-parameter harmonic a cos(6π N/70)+b sin(6π N/70) passes the 0.1% bar at max|Δ d|=3.04×10⁻⁴ but only fitted (refused adoption); were its two coefficients ever derived, this row reopens. (R87 house restoration: rendered from the tex, not the quote; the quote above is what the machine gate matched)

Evidence (availability is not outcome)

kindreferenceline / keyavailabilitynote
registryAppendix O §5, Remark 5.2, p.261; casualty #6 in the Executive State Map—shippedThe source withdraws the universal claim after a fitted two-parameter harmonic control. The exact single-chi failure remains; no fitted harmonic is adopted in this round.

What was said, and what retired it

historical statement≤ 2-parameter completion is impossible.
where it stoodEarlier mass-completion claim, quoted in Appendix O §5, Remark 5.2 p.261; Executive State Map casualty #6
retiring decisionWithdrawal recorded in Appendix O Remark 5.2 after the fitted period-70 harmonic control; Executive State Map p.7
what the suite prints now
The blanket “≤ 2-parameter completion is impossible” claim is therefore withdrawn; the honest statement is that surveyed one-parameter forms fail and no universal ≤ 2-parameter no-go is proved.
PDF p.261 (bytes of record)
successor recordsLIB2-106 The exact single-chi additive ratio completion fails on the registered support
why retiredwithdrawal — from the record's own words: WITHDRAWN → "Withdrawal"

A successor is linked, never "derived from" the retired statement (charter §10.10).

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

states a predicateyes
uses on the record · unblocked2 · 2
uses any lane has read2 of 2
REVIEWED SUPPORTS use on the predicate, read by two non-drafting lanesyes (1)
a SUPPORTS use on the predicate is DISPUTEDno
machine certificate currentyes

Machine certificate (R68)

stateMACHINE_CHECKS_PASSED
policysgtoe-clearance-policy-1.0-RATIFIED · sha16 ef7d6e7690514311
bound to masteraad7a3ec6ce3b510 (the master the checks ran on; issued 2026-09-26T05:06Z)
checks
checkresultreason
schema_validPASSexercised
basis_currentPASSexercised
quote_locatedPASSexercised
labels_literalN/Aclass RETIRED not governed by the source_labels rule
edges_resolvedPASSexercised
bindings_validPASSexercised

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) antecedentsno legacy antecedent identified
Track-2 claim idsD-CHI-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.
candidate ids (frozen list S304)C2-055

Drafting-lane note

The replacement narrows the quantifier rather than deleting the tested negative. The harmonic's coefficients remain fitted and its adoption refused; neither its performance nor a new parameter search is computed here. No unprinted retiring assessment serial is invented.

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 bc8699ed8490f1532f33d0b8c32252db3c9764939d62a0ed198bb0f7b29bce07

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-248 | 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