Iteration 50 — H-058 Consumed by Coordination: the Theory Root of an Instrument We Already Certified

Iteration 50 — H-058 Consumed by Coordination NO EXAM — COVERED BY CANDIDATE A · LEAD FOLDED INTO FRONTIER #4

In plain words: the next candidate in the queue turned out to be the parent theory of an instrument we already certified. Candidate A — the e-value invariance identifier admitted on both markets back in iterations 25–26 — is the specialized, exam-hardened offspring of exactly this "safe testing" framework. Re-examining the parent separately would be double work with no possible good outcome: if it passed, it would just duplicate a certificate we already issued (an echo — the very thing the redundancy gate kills); if it failed, it would tell us nothing the offspring's five-round exam didn't already settle. So the campaign's no-double-tracking rule applies, and the queue entry is closed by a written ruling instead of a run. Nothing of value is thrown away: the parent theory's one genuinely distinct capability — evidence that stays honest while you keep watching accumulating data forever — is precisely the "certificate expiry monitor" the operator chose to defer until enough features are promoted, so its ready-made software package is filed there, waiting for that go-ahead. Next: three classic econometric guards, examined together as a unit.

Preflight (A0): 2026-07-10 03:45 — load1 4.33/32c (≤24) · 36 GiB avail · CH + sidecar + kintsugi active → ALL PASS. Sync: origin/main unchanged. Docs-only firing — ZERO compute, zero ClickHouse reads beyond none; the ruling is grounded entirely in committed artifacts (dossier + ledger rows 34–35 + Frontier #4).

The coordination ruling (pre-required by the iter-49 steering, before any compute)

Question	Grounding	Ruling
Is H-058 already covered?	Dossier: catalogued COVERED-PARTIAL — "theory root of H-001 with a maintained implementation"; H-001/H-002 = candidate A, whose group-invariance specialization of THIS theory is examined (5 exam forms, iters 22–24) and ADMITTED on both substrates (rows 34–35)	YES — as an invariance instrument, the family slot is occupied by its own offspring
Why not run the exam anyway?	Both outcomes are worthless: PASS → duplicates candidate A's certificate (guaranteed oracle shadow — same theory, same question; the row-51 kill mode by construction); FAIL → adds nothing the offspring's ladder didn't establish. The operator directive's no-double-tracking pattern (item 3) names this exact family.	SKIP — consume by note
What distinct value exists, and where does it go?	Optional-stopping/continuation-safe testing (evidence valid across accumulating regimes) = the anytime-valid expiry-monitor role = Frontier #4 (CTM-WATCH + e-detectors), operator-DEFERRED 2026-07-03 (preconditions: items 1–3 grounded · ≥1 promoted feature · operator go)	FOLDED IN — CRAN `safestats` (LGPL≥3 v0.8.7) recorded as a named Frontier #4 implementation candidate, block-null M2 flag attached
Verdict (row 61)	CONSUMED (coordination — covered by candidate A rows 34–35; residual value → Frontier #4) — B-03 row closed by ruling, not by run; the B-01 H-001/H-002 precedent applied

Question

Grounding

Ruling

Is H-058 already covered?

Dossier: catalogued COVERED-PARTIAL — "theory root of H-001 with a maintained implementation"; H-001/H-002 = candidate A, whose group-invariance specialization of THIS theory is examined (5 exam forms, iters 22–24) and ADMITTED on both substrates (rows 34–35)

YES — as an invariance instrument, the family slot is occupied by its own offspring

Why not run the exam anyway?

Both outcomes are worthless: PASS → duplicates candidate A's certificate (guaranteed oracle shadow — same theory, same question; the row-51 kill mode by construction); FAIL → adds nothing the offspring's ladder didn't establish. The operator directive's no-double-tracking pattern (item 3) names this exact family.

SKIP — consume by note

What distinct value exists, and where does it go?

Optional-stopping/continuation-safe testing (evidence valid across accumulating regimes) = the anytime-valid expiry-monitor role = Frontier #4 (CTM-WATCH + e-detectors), operator-DEFERRED 2026-07-03 (preconditions: items 1–3 grounded · ≥1 promoted feature · operator go)

FOLDED IN — CRAN safestats (LGPL≥3 v0.8.7) recorded as a named Frontier #4 implementation candidate, block-null M2 flag attached

Verdict (row 61)

CONSUMED (coordination — covered by candidate A rows 34–35; residual value → Frontier #4) — B-03 row closed by ruling, not by run; the B-01 H-001/H-002 precedent applied

▶ Next iteration

Next firing: the H-065/066/067 econometric anchor triad, run together as one unit (the feed's own suggestion): Sargan–Hansen J (invalid anchors silently corrupting invariance evidence), Staiger–Stock first-stage F (weak anchors making evidence uninformative), Anderson–Rubin (inference valid under arbitrarily weak anchors). All three are cheap parametric guards with table/χ² bounds; entrance exams on the twin anchor in one firing, with the role adjacency to HSIC-X (row 45, the certified anchor-validity guard) named in advance — the M3 attack will decide whether the parametric triad adds anything beyond the kernel guard. Standing for the operator: the 73 cycle-1 draft statuses (iters 11/13), the Frontier #4 expiry-monitor precondition review (now with safestats filed as an implementation candidate), the ripening STABLE-declaration proposal, and PR #599 carrying B-01 closure + B-03 progress.

Iteration 50 · 2026-07-10 · CONSUMED-BY-COORDINATION (row 61) · docs-only, zero compute · append-only · grounding: harvest CANDIDATE-CATALOG H-058 row · LEDGER rows 34–35 · FRONTIER #4