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## Current selected-family replay

Resolve the [selected record](../certificates/selected-result.json) before
running a historical checkpoint. The current cold replay is
`make frontier4359-verify`, using the
[proof review](research/pr-intake-evidence/pr4359/PROOF-REVIEW.md),
[validation](research/pr-intake-evidence/pr4359/VALIDATION.json) and
[source manifest](../certificates/frontier4359-source.json).
The [frontier4359 workflow](../.github/workflows/frontier4359.yml) provides
hosted replay evidence. Metadata and source-pin checks are separate from
operator replay and do not discharge the inherited theorem assumptions.

## Historical frontier1094 replay

Start with the [selected record](../certificates/selected-result.json). Its
`reproduce`, `review`, `source_manifest` and `validation` fields identify the
replay command, scoped assessment, source bindings and integration evidence.
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# Current reviewed status

Selected conditional κ: **0.0023 = 23/10000**, zxv’s #4359 productive-helper construction, using Jacob Alan Sussman’s mixed-target recursion and the credited cumulative native/outer lineage.
Selected conditional κ: **0.0023** (= 23/10000), zxv’s #4359 productive-helper construction, using Jacob Alan Sussman’s mixed-target recursion and the credited cumulative native/outer lineage.

[Selected record](../../certificates/selected-result.json) · [Proof review](pr-intake-evidence/pr4359/PROOF-REVIEW.md) · [Integration receipt](pr-intake-evidence/pr4359/INTEGRATION.json) · [Contributors](community-productive4359-contributors.md).

Cold replay: `make frontier4359-verify`. The fresh 23-stage replay and 59 normalized artifacts pass; the changed interfaces have an AI-assisted proof review under retained analytic/native/fixed-tape hypotheses. Winning uniform templates are not materialized. This is not a complete formal or independent human verification. #4404 independently checks a narrower arithmetic/flow scope.

## Historical selected status through #1094
All sections below are a historical snapshot; the selected-result.json record above is authoritative.

## Historical checkpoint through #1094

Historical selected conditional κ: **0.001672660197076918**, Rohan Arun's #1094 on Jeremy Kothe's #1087 packing and the cumulative k8/slot/T16 construction. The bit supplier remains #589 on #555.

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