Final mathematical reviewer verdict
Assent to publishing the curated research prototype as a protocol seed. This is an endorsement of the packet’s bounded analytical presentation and reproducible synthetic experiments, not of a live service, scientific authority, empirical efficacy or a general cooperation equilibrium.
The mathematical reviewer has independently closed RM-1, RM-2 and RM-3:
- Expected audit expenditure and a pathwise hard audit cap are now distinct.
- The toy single-offer completion denominator now includes 8,956 unresolved requests.
- Exact hard-audit interval endpoints are consumed directly by the sampler. Independent checks cover 495 endpoint cases, 832 utility inequalities, the singleton interval [5/6,5/6], and strict rejection above the funded cap. The exact rational fields govern decisions; convenience float endpoints can visually straddle an exact singleton and must not be used to infer feasibility.
The runtime reviewer’s zero-hold ledger repair was also independently checked: three attempted positive settlements against zero reservations were rejected without charging work. The five coupled traces and all 7,400 sweep runs were reproduced again after that repair; 888 replicate-level intervals and all aggregate shares were checked. The 216 ecology runs, 351 aggregate/paired metrics, local-map derivative and common-blindness negative control were independently reproduced.
The newly exposed correction-credit incentive remains an explicit research limitation. A defective-offer fixture can generate more recognition through correction than clean unaudited work; the present agents cannot strategically choose their defect rates. No claim of incentive compatibility follows from bounded credit. Likewise, group-first sampling, conditional completion envelopes, funded audit marginals and expected repair bounds do not combine automatically into one network guarantee.
I agree with the runtime and domain/legal reviewers’ shared formulation: release the small inspectable boundary and its failures, retaining simple uniform routing as a baseline. A human can engage through one synthetic claim and a colleague; an implementer can run the executable models immediately. Neither path requires pretending that unimplemented identity, appointment, legal duties or human behavior have been solved.
This verdict covers the mathematical/code state hashed in
repair-verification.json and
second-wave-results.json, the ecology state in
ecology-review-results.json, and the reviewed
launch/onboarding prose. Final export integrity, attribution, licensing
scope, public destination and accountable intake are release-integration
decisions, not mathematical conclusions. The individual reports and
original counterexamples remain part of the evidence; this final
disposition supersedes their earlier pending-repair conditions.
Correction-game update. The subsequent
correction-game-addendum.md reviews all 18 one-step payoff
outcomes and eight tests. Independent direct calculations match the
recorded values. Continued assent includes this addition, with
clean-author credit, externalized coalition cost and one-case scalar
repair capacity kept distinct from a composed verification/repair
service. correction-game-review-results.json binds this
check to its source hash.
Human-design and final collective update. I
independently verified all 15 artificial power rows by full
labeled-assignment enumeration and reran the eight repaired design
tests. RM-4 is closed: missing-outcome intervals are explicitly bounds
on the realized randomized-arm contrast, not the finite-population
causal effect or its uncertainty. The integrated synthesis now correctly
says the switching maps clear work when repeatedly applied alone. I have
read the final collective report and assent to its joint research-seed
recommendation, including its noncomposition warning, ordinary
publication decisions and separate final exact-archive verification. The
earlier “human-design review pending” status can be retired. No
mathematical blocking finding remains in the reviewed candidate.
human-pilot-addendum.md and
human-pilot-review-results.json preserve the independent
checks and remaining design assumptions.
Funded-audit update. Continued assent includes the
repaired delivered-audit fixture. RM-5 (epsilon-funded hours) and RM-6
(floating tie reversals) are closed through exact hour and utility
arithmetic. I independently checked 3,839 positive-probability
selection/detection paths across nine cases, reproduced all 11 recorded
traces and 220 sweep runs, and ran all 18 tests. The concealed
fixed-population participation premise is explicit; the addition does
not establish auditor incentives, identity, legitimate sanctions or
general cooperation. funded-audit-addendum.md and
funded-review-results.json retain the original failures,
source hash and detailed scope.