GARDEN-015WITNESS_EXECUTED_EXACTS5
GARDEN-015 · Singmaster
RERUN FROM EXECUTED OVERLAY RECORD · STANDING WITNESS_EXECUTED_EXACT
| context |
WHAT THIS CERTIFICATE RECORDS, IN PLAIN TERMS. Singmaster is overlaid on the MuncyNautics frame: the seat names WHERE the problem lives in the frame, the species (S5 — The Lane / Carry) names WHAT KIND of owe its residual is, the forbidder is the executed witness — geometry allows only O(log t) candidates; bulk closed (KMRT 2021); seams Pell-thin (de Weger, Faltings per pair); champion 3003 at eight… — and the structured residual states exactly what remains open: the seam uniformity (C = 8 the champion, not the theorem)… Standing is honest: SUPPORTED means the overlay reading is demonstrated and measured but the named residual is not yet discharged. Method: MuncyNautics Seam Recovery, Derrick E. Muncy. |
|---|---|
| schema |
MN-RECOVERY-CERTIFICATE-1.1 |
| certificate_id |
MN-CERT-GARDEN-015-RERUN-20260830 |
| supersedes |
MN-CERT-GARDEN-015-INTAKE-20260830 (intake stub: all channels NOT_COMPUTED) |
| job_id |
GARDEN-015 |
| title |
Singmaster |
| author |
Derrick E. Muncy |
| method |
MuncyNautics Seam Recovery Method v1.0 · Overlay Codex executed record |
| source_records |
The Overlay Codex (44 problems) · overlay-data.js (project record) · Overlay Codex, Annals format |
| species |
S5 — The Lane / Carry |
| overlay_verb |
collide |
| seat (the address the overlay assigns) |
the pairing lattice C(n,k) — one magnitude at many addresses |
| forbidder / executed witness |
geometry allows only O(log t) candidates; bulk closed (KMRT 2021); seams Pell-thin (de Weger, Faltings per pair); champion 3003 at eight |
| governing_equation_as_projected (the seam) |
#{(n,k): C(n,k) = t} ≤ C? — multiplicity counted bare
|
| complete_governing_equation (the repair) |
one magnitude at many ADDRESSES kept as the pairing lattice: geometry allows O(log t) candidates, bulk closed (KMRT 2021), seams Pell-thin (de Weger); champion 3003 at eight seats |
| structured_residual |
the seam uniformity (C = 8 the champion, not the theorem) |
| correction_rule |
Correction = reconstruction from the recovery: restored arguments, seats, phases and arms in the equation itself. No raw appended constants; any finite term must be derived from the recovered channels, never fitted. |
| phase_retained |
True — seat, verb, and species carried; no bare-magnitude reduction performed |
| precision |
Measured figures in the witness computed cold in double precision on the session record; classification exact (no numeric claim promoted beyond its precision) |
| falsifier |
The residual field names the exact open step; exhibiting its failure (or a counterexample at the named seat) falsifies the overlay reading for this entry |
| standing |
WITNESS_EXECUTED_EXACT |
| promotion_authority |
YELLOW — the residual is a named open step; no GREEN issued on an open owe |
| honesty_state |
SUPPORTED |
| generated_utc |
2026-08-31T03:05:49.533Z |