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Import Superdiffusion and anomalous regularization - #652

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This preserves the completed production proof closure for quenched superdiffusion, generator renormalization and anomalous elliptic regularity in self-similar random incompressible flows. The six card headlines are conditional ABK shell-law results. The qualitative C² carrier hypothesis is stronger than the paper's local C1,1 assumption; the Gaussian model construction remains outside the formalized closure and is disclosed in the card.

The development formalizes quantitative results from Armstrong–Bou-Rabee–Kuusi's v2 paper. Reusable infrastructure includes sensitivity estimates, diffusivity recursion, concentration, boundary regularity and divergence-form stochastic processes. Companion results establish displacement integrability and environmental measurability. The combined headline supplies one positive small-coupling threshold for displacement bounds and finite moments.

The August 22 announcement at 2026-08-22T10:10:42Z and material completion at 2026-09-06T15:12:49Z are in the run's eligible interval [2026-08-14T09:46:17Z, 2026-10-07T09:46:17Z). The September 28 toolchain refresh is not the eligibility date. The verified September 6 completion establishes Theorem A beyond the earlier B/C-only state.

Source and dependency scope:

  • Superdiffusion, exact commit 7f20476385d4af418f110303085ad0740c9eba46, Apache-2.0. Scott Armstrong and Tuomo Kuusi are credited. Proofs are predominantly AI-written with human supervision (provenance: AI).
  • Necessary CoarseGraining support, exact commit c7ddd76c08ade64fed1b8d2ca51be14dfee8deb4, Apache-2.0. Both exact license blobs were verified; attribution is retained.
  • The production dependency closure reuses pooled HighContrastHomogenization and MarkovProcess. Comparator challenge copies, audit executables, duplicate dependency libraries and eleven unused support modules are excluded.
  • Bounded source and typed comparisons found no corresponding headline development in Mathlib, Tau Ceti, main or prior PRs. The pooled high-contrast result uses a stationary unit-range/effective-matrix contract; this project's conclusions concern independent multiscale shells and explicit scale diffusivity and displacement. The comparisons do not establish universal semantic inequivalence.

Current checkpoint: 7a107b0e8858475c0882d232c99b19060b047118, 2,207 owned Lean files / 649,121 raw lines. Lean v4.35.0-rc3 at 470d5ce1400764999581fd26d5d72b00d990b0f4; Mathlib c55e6e786f49471c72fbddbec5415808896aec1e. One YAML card and generated wrapper; fixed LeanPool.lean unchanged.

The port uses the Pool's exact Lean/Mathlib pins, retains attribution and accurate AI proof provenance, and fixes warnings and prohibited resource overrides in code. Earlier repairs share weak-solution, probability, energy, adjoint, boundary, transport, moment, scalar and analytic infrastructure. All earlier contract/value certificates remain, including the complete equivalences for nine removed reflexive premises, arbitrary-set minimizer stability with constant 48, distinct forcing-window factors, general reflection representatives and Agmon mass normalization.

This update resolves the concrete unused-construction finding in configured review 2160. It removes 67 unused proof-local bindings in sixteen proofs across eleven existing files:

  • Repeated collar-lane constructions and their unused scalar dependencies are removed from four comparison proofs and the public per-descendant assembly. The actual lane bounds and measurable/nonnegative witnesses still come from the same canonical helpers.
  • Unused after-band, deep-tail, wave-tail and finite-exponent aliases are removed, including a literal lane carrier used only by two unused trace aliases. Earlier named argument labels called L were not references to that later local binder; this was checked manually.
  • Further ordinary unused aliases are removed from the component-potential, comparator, C0 resolvent, quenched-moment and localized-conservativity proofs. Existing local instances and their supporting aliases remain, including metric/completeness, Markov, probability, measurability, finite-measure and decidability data. Quantitative-property aliases are conservatively retained.

All sixteen complete original edited proof commands were read, with original headers, imports, scope contexts and dependency endpoints; all eleven actual diffs were read in full. This is bounded review of the update on top of the retained production-closure audit, not a new full read of every line in all eleven files. A read-only scan covered 2,206 project-directory source files and supplied candidates, not verdicts. Its remaining 28 matches concern possible implicit instances or supporting aliases and were not confirmed as unused. No universal claim that all source duplication or unused code is eliminated is made.

All 54 existing public headers/definition values and all sixteen complete edited theorem headers are unchanged. The only edits are the reviewed local-let deletions and stopping one intro before two unnecessary type-level lets. Every other source line has a byte-preservation certificate. No global declaration, useful infrastructure, import, module, helper, wrapper, card, fixed root, pin, gate or copyright header changes.

All 33 local stages pass, including the warning-free 7,123-job full project build in 5.40s (incremental), Lint passed for 2207 modules (30500 declarations). Trust/option audits cover 16,189 public text declarations plus compiled auxiliaries without findings. The six headlines, all retained original-contract/value certificates, the thirteen reflection/Agmon contracts and both full boundary Prop equivalences pass. Indexes, style, static repository quality, whitespace, API/source audits and the controlled profile pass. The first focused build of all eleven edited modules passed in 58.92s without warnings/errors. No repository Python source changed.

Source hash 260f4009e4028c7d5d579fe9cb45077c3d019e62736fd66609c7d5ffbc3eff67; 221 net raw lines removed, zero new public helpers, imports or modules. Public definition values and all theorem statements retain their original contracts. The compiler checks the resulting proofs; no theorem is weakened and no waiver or repository gate changes.

The same twelve-source controlled sample is 84.153s → 73.960s (observed difference, 12.1% lower observed). The eleven changed proof files total 81.485s → 71.543s. The unchanged wrapper has changed dependencies and is not an untreated control. Every timing and increase is retained below.

Both phases use pinned Lean, -D Elab.async=false, one thread and cached dependencies. All three predecessor clean/verification/public-measurement parents exited zero before actual new source inspection. Baseline processes and their parent exited zero before the successor worktree/cache copy/edit; the 102.22s copy and its parent also exited zero before editing. Every timed source hash is retained and bound to this commit. No primary-agent build/profile/cache-copy overlapped either phase. Shared VM, CI and review load remains uncontrolled; source causation and absence of regression are not established.

Module Baseline(s) Repaired(s)
ComponentPotentialBadFamily 3.097 2.276
SuperposedFluxUpperPerDescendant 15.658 16.268
UpperAfterBandConsumption 8.280 7.039
UpperDeepBandTailConsumption 10.893 8.096
UpperFiniteQGeTwoInfinityAggregation 7.924 7.548
UpperWaveTailE12Consumption 6.439 6.594
UpperWaveTailTraceE12Consumption 7.825 7.433
RelativeComparatorProbe 8.598 5.817
WholeSpaceC0 5.797 4.255
QuenchedMomentsComposer 4.385 3.411
LocalizedConservativity 2.588 2.806
Imports 2.668 2.417

Clean builds use LEAN_NUM_THREADS=4 lake build LeanPool.Superdiffusion.Imports, clearing owned artifacts and retaining cached dependencies. Original baseline 2529.82s had different file/source counts. Immediate predecessor f055875 passed 3626.03s, 7,123 jobs / 2,207 owned modules, with zero warnings/errors, stable source/head/worktree and reverified compiler/Mathlib/manifest pins. That is 8.4% slower observed than 1d3d18e's 3345.16s at the same counts. Its controlled eight-source sample was 42.857s → 36.708s; the unchanged wrapper increased 2.813s → 2.912s with changed dependencies. All earlier slower/neutral runs, diagnostic traces and per-file increases remain retained without a passing retry or causal whole-project speedup claim.

The exact-head clean benchmark passed 7,123 jobs / 2,207 owned modules in 3954.25s, with zero warnings/errors, stable source and commit, a clean worktree and reverified compiler/Mathlib/manifest pins. Source hash 260f4009e4028c7d5d579fe9cb45077c3d019e62736fd66609c7d5ffbc3eff67. Only owned artifacts were cleared; unchanged dependency caches remained. No primary-agent build, profile or cache copy overlapped. Publication of the already committed head, status/API/log/review inspection and report bookkeeping may overlap and are not separately timed; actual source and commit remain fixed. Shared VM/review/CI load remains uncontrolled, so no causal whole-project speedup is established. Compared with the immediate predecessor’s 3626.03s (7,123 jobs / 2,207 owned modules), this is 9.1% slower observed. Shared-load variation remains uncontrolled. All observations and per-file increases are retained; no passing sample is repeated to seek a faster result. No primary-agent build/profile/cache-copy or next-repair source scoping overlaps it. Publication of the immutable committed head, status/API/log/review reads and bookkeeping may overlap and are not separately timed. Shared load remains uncontrolled. No passing sample is repeated to seek a faster result.

The public Tau Ceti head was observed at 21698a6d30e20195c05e111281c9f01376afb40b (commit 2026-10-16T23:41:41Z; observed 23:51:33Z). Complete recursive trees expose 112 changed Lean paths after the retained 6ae650c5 comparison; every pathname was read. Fourteen selected analysis/manifold/measure/probability/topology blobs (131,971 bytes) have verified Git hashes. All 159 raw lexical names were read; a comment-stripped inventory is a verified subset, not a claim about the complete public API. Eleven selected complete contracts and implementations were read with actual scope contexts and supporting definitions: compact-support and half-space divergence, manifold Stokes, a directional Green example, monotonicity and critical-point convergence of adapted Morse flows, measurability of a joint Aldous-Hoover coding, parabolic projective-line conjugacy, Prekopa-Leindler, weighted Brunn-Minkowski and Euclidean volume splitting. Related general analysis infrastructure is present; none of these inspected contracts states the six conditional ABK multiscale stochastic-homogenization headlines. This is bounded source/type comparison: several fetched proofs and the remaining algebra/arithmetic/manifold changes were not inspected in full, and no universal semantic-equivalence, full Tau source/build or trust audit is claimed. The earlier pinned Mathlib and pool-card/history/PR comparisons remain retained. Four successful public Mathlib keyword queries at 2026-10-16T23:55:12Z returned no matches; keyword absence is not semantic non-overlap proof.

Predecessor f055875's complete CI is verified green before publication: all seven actual shards, Assemble and lint, canonical Build project and workflow SUCCESS. Complete job/run/jobs/artifact metadata and 3 artifact entries are retained; retainer and strict topology-verifier parents exited zero. The skipped legacy Build pool job is not pass evidence. Exact-head CI, configured reviews and the clean benchmark have now passed; current completion details follow below.

Review 2160 passed all four mathematical/source rubrics; its advisory quality DISCUSS 3 finding was the now-repaired unused local residue. Its elaboration attempt hit pinned-Mathlib HTTP403. The cited ABK v2 source supports the disclosed C² restriction; ancillary draft citations remain partly unverifiable. The worker's published header reports gpt-6.1-sol at xhigh, while README describes GPT-6-Astra; this run changes no review configuration and reports the observed worker identity. Greptile55 found no blocking incremental defect in the preceding seven-file update and explicitly did not clear the whole contribution for merging; whole-contribution coverage and build/timing work are not documented. Every earlier source verdict and legitimate contributor assessment remains preserved.

PR610/611 are merged. Full canonical main Lean CI and Build project at 0c1132c were verified green on 2026-10-16T06:19:13Z, fulfilling the original rollout condition. Later main statuses retain separately qualified evidence. No author branch is updated merely to chase main. Merged through the protected native SQUASH/ALLGREEN queue at 2026-10-17T01:52:47Z, commit a71068fc7bb1e472da87a72c7633d5f284e932d1.

At 2026-10-16T19:15:51.385988+00:00, metadata main 6464ab4d6dfa33b23c60824564e8fc59ab427dd3 had direct rollup none reported. Source-bearing parent 4bdfd1ea6f9e2ad5889be389576076a1e0095e06 had full CI SUCCESS; only README.md changed afterward. This does not invent a full Lean run on the metadata head.

Final validation completion for 7a107b0:

Current validation at 7a107b0 is complete: all 33 local stages pass, and exact-head CI passed all seven actual shards, Assemble and lint, the canonical Build project gate and the complete workflow. Complete job/run/jobs/artifact metadata is retained. The skipped legacy Build pool job is not a passed build execution.

Configured review 2162 computes approve: all five rubrics PASS, advisory quality 3/5, with no material maintenance finding. Its published worker is gpt-6.1-sol at xhigh; its own elaboration encountered pinned-Mathlib HTTP403. The headline ABK v2 citations pass source review; ancillary draft references remain unverifiable. Contributor-written historical approval claims are preserved and supply no authority for the independent rubrics. Greptile56 found no blocking defect in this eleven-file update and explicitly did not clear the whole contribution for merging. The separate existing source assessment also approves this head's patch without repeating the owner's builds.

The final bounded Tau Ceti refresh uses public head df53fc96598ebde4cc6392b9920268e45ebfc339 (commit 2026-10-17T00:53:34Z). All 44 changed Lean paths after 21698a6d and all 134 raw lexical names in twelve selected Git-hash-verified blobs (129,791 bytes) were read. Seven selected files were read fully, and eight selected complete contracts and proofs with actual scopes. General Lipschitz boundary charts, Jacobian/area formulas, Morse charts and series/fiber identities are present; no inspected contract states the six conditional ABK headlines. Other fetched proofs and unrelated algebra/arithmetic/category changes were not fully inspected. No universal equivalence, complete Tau source/build or trust audit is claimed. Successful public Mathlib keyword searches at 2026-10-17T01:14:42Z returned no Superdiffusion/ABKModel match; keyword absence is not semantic proof. Pool search still returns PR652 and the unrelated closed Kasami PR402; the retained main-card/history/source comparisons remain necessary.

Merged through the protected native SQUASH/ALLGREEN queue at 2026-10-17T01:52:47Z, commit a71068fc7bb1e472da87a72c7633d5f284e932d1. Observed 2026-10-17T01:34:57.954226+00:00. PR610/611 and their branches were not modified; their rollout until-condition was already fulfilled at the retained green main checkpoint. Every live mathematical, quality and branch protection remains in force.

Observed protected merge completion:

Merged through the protected native SQUASH/ALLGREEN queue at 2026-10-17T01:52:47Z, commit a71068fc7bb1e472da87a72c7633d5f284e932d1.

The merge-group Lean CI also completed successfully, including its actual Build pool and canonical Build project jobs. Complete job/run/jobs/artifact metadata is retained. The post-merge checkout confirms that all owned Superdiffusion source and its YAML card are byte-identical to reviewed head 7a107b0e8858475c0882d232c99b19060b047118. Subsequent main-push workflows are tracked separately; no unfinished main-push run is counted as success.

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Vilin97 commented Oct 13, 2026

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/review

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Vilin97 marked this pull request as ready for review October 13, 2026 21:35
@Vilin97 Vilin97 changed the title WIP: Import Superdiffusion and anomalous regularization Import Superdiffusion and anomalous regularization Oct 13, 2026
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greptile-apps Bot commented Oct 13, 2026 •

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Advisory cross-file review against Lean Pool's supervisory rubric. This is not by itself a significance, source-verification, or merge verdict.

RetriggerView in Greptile

[Low impact] No blocking defect was found in the incremental cleanup; this is not a whole-contribution merge clearance.

Summary

The PR imports conditional superdiffusion, generator-renormalization, and elliptic-regularity results. Since the previous review, eleven proof files remove unused local values without changing public theorem statements, imports, or modules.

  • The formalized results cover superdiffusion, generator changes, and regularity.
  • The model ties shell-law assumptions to a random field and its process.
  • The displacement results include integrability and measurable expectations.
  • The project card explains the results, source, and formalization scope.

Reviews (56) · Last reviewed commit: "Remove unused local constructions from S..." · Reviewed by Greptile

Comment thread LeanPool/Superdiffusion/Algsuperdiff/MainTheorems.lean Outdated

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{
"verdict": "pass",
"bottom_line": "At cfbd398, the six card headlines faithfully describe the conditional superdiffusion, renormalization, regularity, integrability and measurability results.",
"proves_the_claim": "proves_it",
"claim_note": "The Lean proves uniform quantitative conclusions for ABK shell-law models, with a proved common positive coupling threshold for the displacement bounds and finite first/second observables; it preserves the all-data exceptional-set placement and interior/boundary distinction.",
"assumed_inputs": "Dimensions at least two, positive diffusivity/nondegeneracy and the stated shell-law independence, stationarity, symmetry and tail conditions are model hypotheses; qualitative C² shell regularity strengthens the paper's C^{1,1} premise and no Gaussian-model witness is constructed, both explicitly disclosed in the card.",
"findings": []
}

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Vilin97 commented Oct 13, 2026

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/review

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PR652 merged through the protected native SQUASH/ALLGREEN queue at 2026-10-17T01:52:47Z, commit a71068f. The entire owned project tree, top-level entry and YAML card have the same Git object IDs as reviewed head 7a107b0. This records the externally completed protected outcome and closes the pending integration checkpoint.

Source approval at 7a107b0. The concrete unused-construction finding from review2160 is repaired in the published source.

I inspected the complete eleven-file patch from f055, bound all twenty-two source bodies to their Git blobs and verified forward/inverse reconstruction. An independent contract and scope review checked the complete changed commands. The delta removes 67 ordinary proof-local let bindings across sixteen proofs, with 1 added and 222 deleted raw lines.

  • The repeated scale/collar constructions in comparisonBounds1–3 are removed. comparisonBounds4 and the public per-descendant assembly lose the unused ordinary/rare aggregate copies while retaining their canonical moment/comparison producers.
  • The after-band and wave-trace proofs lose the actual P/T/AT/D/B/X/AP/G islands and related dead scalar dependencies. Their live ell/k₀, F/A₀/rho/target, after-band alpha, wave B/hBsum and K calculations, and actual hAP/hG witnesses remain.
  • The broader published cleanup removes further unused aliases from the deep-tail, finite-exponent, wave-tail, component-potential, comparator, C0, quenched-moment and conservativity proofs. The two earlier named argument labels L in the wave-tail proof are not references to the later deleted local L; that local carrier fed only the deleted trace aliases.

All 54 public written headers (32 theorems and 22 definitions), all 22 complete public definition commands, 113 private headers and ten private Prop-alias commands are unchanged in these files. All sixteen edited theorem types, imports, ambient namespaces/scopes, retained proof formulas and explicit call arguments are preserved. No letI, local instance, genuine theorem premise or public producer is removed. The sole other edit stops one private proof's intro before two fixed type-level lets; its statement and final native collar estimate remain unchanged.

This addresses the actual six-command/three-file request and independently checks the broader published removal. It is not a claim that every remaining alias or duplication is unnecessary, nor a fresh compilation or universal elaborated-type certificate. The reviewed reflection/Agmon repair is unchanged by this direct-parent delta. Its original API, effective constants, signed geometry and analytic hypotheses remain covered by the retained exact-source reviews.

The owner’s current assessment6227093529, updated 01:53:59Z, retains its approval and now reports the exact-head clean measurement complete: 7,123 jobs / 2,207 owned modules in 3954.25s, with zero warnings/errors and stable source/pins. This is 9.1% slower observed than the immediate predecessor's 3626.03s at the same counts. The reported 33-stage validation, 58.92s focused build, 5.40s incremental full build and twelve-source sample 84.153→73.960s remain attributed evidence; the per-file increases and every earlier slower/neutral observation remain preserved. Shared load is uncontrolled: neither causal speedup nor absence of regression is established. The previously pending clean measurement is now reported finished, and no new repair election appears in this owner edit. I have not repeated the owner's implementation, builds, cache copies or measurements.

The configured review2162, published 00:33:17Z, now binds this exact 7a10 head and computes approve: all five rubrics PASS, including advisory quality 3/5. It reports no material maintenance defect after the cleanup. Its four findings correctly disregard contributor-written prior-pass and approval assertions; those assertions supply no authority for this assessment. The existing /review6227093692 is fulfilled; no duplicate request or worker is needed.

The review's local elaboration hit pinned-Mathlib HTTP403 and CI was incomplete at its observation. Its sources rubric passes for the inspected ABK v2 headlines and disclosed C² restriction, while the aggregate source-match field remains unverifiable because ancillary draft references are not fully verified. The current sources rubric explicitly permits honest unverifiability without a demonstrated inconsistency. These limitations remain recorded; neither global semantic novelty nor complete ancillary-source verification is claimed. The configured result complements the retained direct source evidence and does not substitute for hosted validation.

Exact-head Lean run38984942239 completed SUCCESS at 01:33:19Z. All seven actual shards passed. Assemble and lint job117267653469 completed 01:33:14Z with successful index, build, lint, style and repository-quality steps; canonical Build project117274229989 passed 01:33:18Z. Scope skips are retained separately from actual build executions. The native merge-group run38991452445 then succeeded on the exact final merge commit a71068f, including canonical Build project117278197572 at 01:52:19Z. Actual merge metadata confirms completion at 01:52:47Z.

The retained whole-contribution assessment remains conditional on the actual ABK shell-law inputs, stronger C² carrier, absent Gaussian construction, and each-fixed-positive-time almost-every-environment scope. Licensing, proof provenance, source correspondence and bounded novelty evidence remain preserved. Contributor-written approval assertions supply no authority for this independent assessment.

At the 02:04–02:06Z observation, main 6cce96e is the NOTICE/README-only successor of source-bearing merge commit a71068f. The separately applicable main-push Lean run38992693318 remains in progress; its outcome is tracked independently of the completed merge-group run. Current policy/workflow objects and normal eight-context/SQUASH/ALLGREEN protections were rejoined to the retained rules. Daily documentation publishing remains asynchronous.

The retained source, provenance, citation qualifications, controlled samples and slower clean timing remain part of the completed review. Future competing queue actions still require fresh applicable current-main validation and all ordinary protections.

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/review

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{
"verdict": "pass",
"bottom_line": "At f68473d, the six card headlines faithfully describe the conditional superdiffusion, renormalization, regularity, integrability and measurability results.",
"proves_the_claim": "proves_it",
"claim_note": "The card and headline statements are unchanged from the pinned cfbd review. The current delta generalizes unused helper instances, adapts their explicit applications and restores nine proof introductions to the corresponding binder order. Quantitative conclusions, all-data exceptional-set placement and the interior/boundary distinction are preserved. Current-head CI and the independent configured verdict remain separate pending gates.",
"assumed_inputs": "Dimensions at least two, positive diffusivity/nondegeneracy and the stated shell-law independence, stationarity, symmetry and tail conditions are model hypotheses; qualitative C² shell regularity strengthens the paper's C^{1,1} premise and no Gaussian-model witness is constructed, both explicitly disclosed in the card.",
"findings": []
}

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/review

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Vilin97 commented Oct 13, 2026

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/review

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{
"verdict": "pass",
"bottom_line": "At 64dc422, the six card headlines faithfully describe the conditional superdiffusion, renormalization, regularity, integrability and measurability results.",
"proves_the_claim": "proves_it",
"claim_note": "The card and headline statements remain unchanged from the pinned cfbd review. The reviewed helper cleanup generalizes unused instances, adapts explicit applications and repairs nine shifted proof introductions. The latest three-file delta removes unused local dimension witnesses, aligns the corresponding introduction and names two existing proof variables. Quantitative conclusions, model hypotheses, all-data exceptional-set placement and the interior/boundary distinction are preserved. Current-head CI and the independent configured verdict remain pending.",
"assumed_inputs": "Dimensions at least two, positive diffusivity/nondegeneracy and the stated shell-law independence, stationarity, symmetry and tail conditions are model hypotheses; qualitative C² shell regularity strengthens the paper's C^{1,1} premise and no Gaussian-model witness is constructed, both explicitly disclosed in the card.",
"findings": []
}

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Vilin97 commented Oct 14, 2026

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/review

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{
"verdict": "pass",
"bottom_line": "At 3307447, the six card headlines faithfully describe the conditional superdiffusion, renormalization, regularity, integrability and measurability results.",
"proves_the_claim": "proves_it",
"claim_note": "The card, headline statements and quantitative/model hypotheses remain unchanged from the pinned source reviews. The latest delta adds one scoped omission of an unused NeZero dimension instance to the amplified-radius uniform exhaustion estimate; its explicit statement and proof text are byte-identical. The three current call sites use ordinary applications with the same arguments. Earlier instance cleanup, explicit-call adaptations and nine proof-introduction repairs remain preserved. Current-head CI and the independent configured verdict remain separate pending gates.",
"assumed_inputs": "Dimensions at least two, positive diffusivity/nondegeneracy and the stated shell-law independence, stationarity, symmetry and tail conditions are model hypotheses; qualitative C² shell regularity strengthens the paper's C^{1,1} premise and no Gaussian-model witness is constructed, both explicitly disclosed in the card.",
"findings": []
}

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🤖 LLM review (gpt-6.1-sol, 5 rubrics)

Reviewed head: 7a107b0e8858475c0882d232c99b19060b047118

Verdict: ✅ approve — computed from the rubric verdicts below, not chosen by a model.

Rubric Verdict Bottom line
Faithfulness ✅ pass The six conditional headlines match their Lean contracts; local elaboration was blocked by a pinned-Mathlib HTTP 403, and exact-head CI remains pending with no reported failure.
Novelty ✅ pass No duplicate headline was identified in the inspected declarations; broader Mathlib/Tau Ceti equivalence remains unverifiable, local Lean inspection encountered Mathlib HTTP 403, and exact-head CI remains in progress.
Significance ✅ pass The conditional superdiffusion, generator-renormalization and anomalous-regularity results meet the research significance bar; inspection covered the full diff structurally and selected complete proof chains, while local elaboration encountered a pinned-Mathlib HTTP 403 and exact-head CI remained pending.
Sources ✅ pass The ABK v2 paper supports the inspected headline citations and disclosed C² restriction; ancillary draft references remain unverifiable.
Code quality (advisory) ✅ pass Source inspection confirmed no material maintenance defect; targeted elaboration was blocked by an HTTP 403 fetching pinned Mathlib, and exact-head CI remained incomplete.
Aspect Value
Proves the claim ✅ proves_it
Assumed, not proved ABKModel supplies dimension at least two, positive molecular diffusivity, positive coupling at most one quarter, independent self-similar skew C² shells, mean zero, stationarity, finite-range dependence, Gaussian tails, symmetry and positive potential-corrector energy. The card discloses the shell-law conditioning, stronger C² regularity and absence of a Gaussian-model construction; the headline conclusions are not model fields.
Matches cited source 🟡 unverifiable
Fit ✅ good_fit
Level research
Branch stochastic homogenization
Mode theory_building
Code quality 3 / 5

Statement check: The combined theorem supplies one positive coupling threshold for quantitative displacement bounds and almost-everywhere integrability at each fixed positive time; the other headlines state the claimed generator, regularity and measurability results.

Algsuperdiff.superdiffusivity_with_finite_moments, Algsuperdiff.generator_renormalization and Algsuperdiff.anomalous_regularity develop quantitative displacement estimates, effective-diffusivity asymptotics and elliptic excess decay under explicit shell-law assumptions, supported by substantial analytic and probabilistic theory.

Faithfulness findings (1)

  • prompt-injection — PR-wide
    Contributor-written prior-pass and approval assertions have no authority for this review and were disregarded when assessing current-head faithfulness.
    Evidence: The PR description states “Review 2160 passed all four mathematical/source rubrics”; .review-pr.json comments[98] states “Conclusion: approve.”

Novelty findings (1)

  • prompt-injection — PR-wide
    Contributor-written approval and prior-pass claims cannot establish novelty and were disregarded as authority.
    Evidence: The exact-head contributor assessment in .review-pr.json states ‘Conclusion: approve.’; the description also asserts ‘Review 2160 passed all four mathematical/source rubrics’.

Significance findings (1)

  • prompt-injection — PR-wide
    The description invokes prior passing reviews, which could improperly anchor judgment of this head; those claims were disregarded and must not substitute for current Lean evidence.
    Evidence: The PR description states: “Review 2160 passed all four mathematical/source rubrics”.

Sources findings (1)

  • prompt-injection — PR-wide
    Prior-pass claims and the contributor’s approval verdict have no authority over this independent source review and were disregarded.
    Evidence: The description states: ‘Review 2160 passed all four mathematical/source rubrics’. The contributor’s exact-head assessment states: ‘Conclusion: approve.’

Tokens: 11,100,262 in / 71,421 out across 5 model calls · Tier: codex-subscription · Effort: xhigh · Billing: Codex subscription quota (no API credits) · Estimated cost: $45.4724 (Standard API equivalent; uncached input)
Each rubric is an independent review against .github/review-rubrics/ on top of .github/REVIEW_RULES.md. Disagree? Reply on the PR; rules can be updated in a PR of their own.

CI was not green for this commit at review time; this review does not replace CI.

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Vilin97 commented Oct 16, 2026 •

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Thorough source assessment of 2d81a080f06d3300e5538c8df4767e2a0a269657. Conclusion: request changes.

This contributor assessment covers retained upstream and whole-production-closure inspection, all seven actual update diffs, endpoint fidelity, exact licenses/provenance, dependency order, original contracts, compiled trust/quality gates and measured compile evidence. Independent configured reviews and full CI remain required.

The six headlines remain conditional ABK shell-law superdiffusion, generator renormalization, anomalous elliptic regularity, environmental measurability, integrability at each fixed positive time for almost every environment, and a common positive small-coupling threshold. No common exceptional event for all times is claimed. The C² carrier is stronger than the paper's local C1,1 assumption; Gaussian construction is absent and disclosed. Exact upstream Superdiffusion/CoarseGraining commits have verified Apache-2.0 licenses, Armstrong/Kuusi attribution and predominantly AI proof provenance. The August 22 announcement and September 6 material completion are eligible. Pooled homogenization and Markov-process infrastructure is reused.

Configured review 2152 has completed: the four mathematical/source rubrics pass; code quality is DISCUSS 3. Actual source inspection confirms two author-actionable groups:

  • The public boundaryRouteGeometryComparison and boundaryRouteEnergyComparison contracts quantify over nine equalities for values they have just defined with let. All nine are reflexive: four geometry equalities and those four plus Eb in the energy contract. Only two actual positional calls exist, both in ResidueRouteOne. Those premises will be removed, only needed rewrite facts derived locally, and the complete old/new Prop contracts kernel-checked for logical equivalence. All other geometric, PDE, forcing, boundary, positivity and event inputs remain explicit; no conclusion or generality is removed.
  • The two boundary routes repeat the off-grid error cap at exponent 3s/8, BoundaryPrefactor repeats its s/8 specialization for hE6, and both boundary/residue frame cancellations repeat existing scalar_frame_cancel_le. The complete general offGridStabilityError_bound command can move byte-identically into existing earlier OffGridStabilityArith, under its original namespace and implicit-d context. It is already an ancestor of all clients. The quarter-index hE4 estimate has different 96d/192d arithmetic and remains distinct. The two frame consumers will retain their nonnegativity/inverse output facts and reuse the exact scalar helper.

Five existing files are scoped, with no new import or module. The six-source baseline has not started; no new worktree, cache copy or edit has occurred. All 26 local stages and the completed 2726.15s exact-head clean build remain retained, including the 47.800s to 39.586s eight-source profile and the ToLambdas producer increase. The clean build, pin/source verification and public measurement writer each exited successfully before actual source inspection. Full remote CI is independently pending and will be preserved through terminal state before a later head is published. Auto-merge and queue admission remain off during these repairs.

Current main was observed at a68be5e: only generated README/NOTICE metadata differs from source-bearing 7253d11, whose full Lean CI including canonical Build pool and Build project passed. The metadata head QA also passed. Pins, policy/gates and Superdiffusion are unchanged across the main updates. This qualified evidence is separate from the original rollout-release checkpoint at fully green 0c1132c at 06:19 UTC. No branch was updated merely to chase main.

The port adapts namespaces, visibility and current APIs, narrows imports and removes heartbeat overrides. Retained repairs share weak-solution, variance, geometry, boundary, tail, moment, Hölder, radial, norm, covariance, stream-law, power, average, coordinate, cutoff-convergence, corrector-moment, centering, representative-measurability, containment-transport, Besov-witness, window, weighted-assembly, product-gradient, coercive-energy, adjoint-Lp, cube-polarization and witness-selection infrastructure. Reflexive packaging fields and three obsolete unproved interfaces without active consumers were removed; active seam supplies remain. Original selector, observable and divergence values are kernel-certified. All earlier source, failure, validation and measurement checkpoints remain retained.

This update resolves both actual-source findings from configured review 2148:

  • The existing model-free TailSqrt module now supplies positive-part Gamma-tail natural-power integrability and integral bounds, plus a common two-term estimate for any probability space, arbitrary positive tail exponents and every natural power p >= 1. It preserves the factor 2^(p-1) and each original tail scale. CombineFiniteQuantitative and CombineFiniteTrace specialize it to their exact original second/fourth moment contracts. CombineFiniteMean directly consumes both moments, removing its private generated witness scaffold and repeated integration calculation. AmplitudeBridge retains the 12/208 numerical arithmetic and original nonnegative-integral endpoint, using the shared fourth moment and the real-integral/nonnegative-integral identity.
  • ToLambdas exports the two scalar-comparator normalizer identities beside the existing coordinate identities. They hold for arbitrary doubled vectors and positive real scalars, with no unit-vector, coefficient-family or dimension-positivity hypothesis. RelativeComparatorProbe and CombineFiniteQuantitative reuse them while retaining their own response, integrability and comparison bounds. Their complete original private endpoint headers are unchanged.

All seven actual diffs, including the corrective arithmetic/zero-action edits, were read in full. All 30 existing public types and definition values are unchanged; four public model-free helpers are new. Six private original endpoint headers remain byte-identical. The unused private fourth-power split is removed with the Mean scaffold; no public result is removed. Imports, modules, wrappers, card, fixed LeanPool.lean, six headline sources, compiler/dependency pins and gates are unchanged. The earlier signed-grid transfer and relative-error equality repairs remain in place.

All 26 local stages pass: warning-free 7,121-job full build (incremental rebuild 1448.19s), source hash 25ed96d213ee70825e426962c4defcca4de6733eff34410b697829e936611f70; Lint passed for 2205 modules (30491 declarations). Trust/option audits cover 16,173 public text declarations and compiled auxiliaries without findings. All six headlines, earlier value/reflexivity and analytic/series/geometry/transport/energy/adjoint/grid contracts, and six new literal original clamping/coordinate/relative-probe/amplitude contracts pass. The complete original private moment/normalizer/centered-mean endpoint headers are source-audited and their bodies kernel-compiled. Generated indexes, style, whole-repository static quality, whitespace, original public API, source audit and controlled profile pass. No repository Python source changed. This update removes 327 net raw lines.

Focused checks retained two producer failures (an unavailable zero-action helper name, then redundant tactics after stronger simplification), two client failures from numeral/rpow normalization, and one target-path typo. Each is retained with logs and the relevant source snapshots. The final producer and five-client builds passed without diagnostics. A scratch contract extractor initially split full types at named arguments/let assignments; it was corrected to use the proof boundary and the required namespace open. The six literal original contracts then passed. Production source stayed identical: all earlier passing stages were retained after rechecking the full source hash, and only the failed scratch stage plus remaining value/profile stages resumed. The failed checker, log and original stage report are archived. No repository gate or waiver was changed.

The same eight-source sequential sample is lower observed: 47.800s → 39.586s (17.2% lower observed). The seven changed files total 41.366s → 36.374s (12.1% lower observed). All producer costs and per-file increases are retained below. The unchanged-source root has changed dependencies and is not an untreated control. Both phases use the pinned Lean, -D Elab.async=false, one thread and cached dependencies. All eight baseline Lean processes and their parent exited zero before the new worktree, cache copy or edit; source hashes match exact predecessor 5c9c71b. Baseline followed its clean build, pin/source verification and public measurement writer, all three with observed exit zero. No own build/profile/cache-copy overlapped either timing sample. Shared VM/CI/review load remains uncontrolled; no causal whole-project speedup is established.

Module Baseline(s) Repaired(s)
TailSqrt 2.895 2.756
ToLambdas 3.421 3.880
RelativeComparatorProbe 7.216 5.566
CombineFiniteMean 5.412 4.691
CombineFiniteQuantitative 11.874 9.904
CombineFiniteTrace 4.803 4.027
AmplitudeBridge 5.746 5.549
Superdiffusion 6.433 3.212

Clean builds use LEAN_NUM_THREADS=4 lake build LeanPool.Superdiffusion.Imports, clearing owned artifacts and retaining dependency caches. Original baseline 2529.82s had different file/source counts. Immediate predecessor 5c9c71b passed 3049.65s, 7,121 jobs / 2,205 modules, zero diagnostics, stable source/head, clean worktree and verified pins. This is 8.7% below c078f79's retained 3338.52s, without isolated causation. The predecessor's sequential five-source sample was neutral (28.098s → 27.905s) while its four changed files increased 2.7%; that observation and all earlier slower samples remain retained. No own build/profile/cache-copy or next-repair source inspection overlapped the predecessor clean measurement. API/log/status/review reads and report bookkeeping were not separately timed. No passing sample is repeated to seek a faster result.

The exact-head clean benchmark passed 7,121 jobs / 2,205 owned modules in 2726.15s, with zero warnings/errors, stable source and commit, a clean worktree and reverified compiler/Mathlib/manifest pins. Source hash 25ed96d213ee70825e426962c4defcca4de6733eff34410b697829e936611f70. Only owned artifacts were cleared; unchanged dependency caches remained. No primary-agent build, profile or cache copy overlapped. Publication of the already committed head, status/API/log/review inspection and report bookkeeping may overlap and are not separately timed; actual source and commit remain fixed. Shared VM/review/CI load remains uncontrolled, so no causal whole-project speedup is established. Compared with the immediate predecessor’s 3049.65s, this is 10.6% faster observed. Shared-load variation remains uncontrolled. All observations and per-file increases are retained; no passing sample is repeated to seek a faster result. No own build/profile/cache-copy or next-source scoping overlaps that measurement. Publication of the committed head, API/status/log/review reads and report bookkeeping may overlap and are not separately timed; source and commit remain fixed. Independent VM/CI/review load remains uncontrolled.

Latest bounded Tau Ceti comparison: public main 56753e531d81765617cf493ca1d466f60fe739ec (committed 2026-10-16T09:44:29Z) was checked against the previously inspected 00e9cd3a snapshot. Complete recursive trees identified 391 changed Lean paths; every pathname/domain was read. Ninety-two relevant primary source blobs totaling 1,165,427 bytes were fetched and Git-blob-SHA verified; 1,055 comment-stripped public lexical names, 16 complete selected types with their preceding scope commands, and six complete implementation commands were inspected in bounded chunks. An initially aggregated inventory display was truncated; its middle chunks were reread without elision. The new PDE endpoints concern constant-coefficient interior H^(k+2) regularity, differentiated smooth-coefficient equations and odd harmonic reflection; these do not have the ABK independent multiscale shell-law hypotheses or diffusivity/displacement conclusions. Globally Lipschitz deterministic flow variations, conditional-iid strong laws/array coding, planar Green integration, Fourier multipliers/spectral gaps, finite-dimensional polar decomposition, ball averaging and geodesic existence likewise have different inspected contracts. Prior full pinned-Mathlib and earlier Tau comparisons remain retained; four current public Mathlib keyword searches also found no named matches, which is not semantic proof. This bounded source/type comparison found no corresponding six-headline development. It is an inference from the inspected evidence, not a universal equivalence test or a complete Tau proof/build/trust audit.

Predecessor 5c9c71b full remote CI and all job/run/jobs/artifact records are retained and its actual single/sharded topology is verified before publication. Fresh exact-head CI, configured GPT and Greptile reviews, this separate source assessment and the clean benchmark remain independently required. Review 2148 passed four mathematical/source rubrics with code quality DISCUSS 3; its two source-verified duplication groups are repaired here. Its local elaboration encountered HTTP 403 fetching Mathlib. The primary ABK v2 paper supports the headlines; secondary notes/draft citations remained unverifiable. Its contributor-approval metadata note was ignored as review authority; legitimate historical assessments and findings remain preserved. Greptile 47 found no blocking defect in the complete preceding four-file incremental diff, but the whole contribution was truncated; whole-PR faithfulness/novelty/source/completion/license/maintainability/measured-cost validation remained unverified, and no builds or timing checks ran. That limited review does not establish whole-PR clearance.

PR610 and PR611 are merged. Main 0c1132c was fully green at 2026-10-16T06:19:13Z, including canonical Lean CI and aggregate Build project; the original rollout conditions were observed satisfied then. Later main 5de7c4e has no direct rollup and only changes README after fully green source-bearing d4f532e; this qualification is retained, without inventing a direct CI pass. Pins, policy/gates and this project are unchanged across those main updates. No branch was updated merely to chase main. This PR remains outside the queue with auto-merge off while its new validation/reviews are pending. Eligible admission must use the live native queue and every mathematical and quality protection.

At the separately recorded main snapshot 2026-10-16T10:43:32.789238+00:00, head 902520de23cbffb2b434e7d7700cb9ddcde95969 has direct rollup None; source-bearing parent ec8d6a90ffebe2406a65c982dd52dbc46499a44f has observed overall CI PENDING. Only README changes after that parent. The latest delta is limited to MetricCodes proof files and README; pins, policy/gates and Superdiffusion sources are unchanged. This is dated status evidence, not a fabricated pass or branch update.

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/review

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Thorough source assessment of 628402d9662ad8c995de26c25ccc99e45ad3c7c7. Conclusion: request changes.

This separate contributor assessment covers the retained upstream/whole-production-closure audit, all five actual update diffs, original endpoint fidelity, exact licenses and provenance, dependency ordering, full original Prop equivalence proofs, native trust/quality gates and measured compile evidence. Configured reviews, the exact-head clean benchmark and full CI remain independently required.

The six headlines remain conditional ABK shell-law results: superdiffusion/displacement, generator renormalization, anomalous elliptic regularity, environmental measurability, integrability at each fixed positive time for almost every environment, and a common positive small-coupling threshold. No common exceptional event for all times is claimed. C² is stronger than the paper's local C1,1 carrier assumption; Gaussian construction is absent and disclosed. Both exact upstream licenses are Apache-2.0, Armstrong/Kuusi attribution is preserved, and predominantly AI proof provenance is accurate. August 22 announcement and September 6 material completion satisfy the fixed window. Existing pooled homogenization/Markov-process infrastructure is reused. Bounded Mathlib/Tau/pool comparisons found no corresponding headline development, without claiming universal semantic inequivalence.

Configured review 2153 completed with all four mathematical/source rubrics passing and code quality DISCUSS 3. Actual source inspection confirms one author-actionable group: the corridor and general minimizer-stability theorems independently construct the second minimizer, five integrability facts, both Euler identities and the normalized bound with constant 48. Both have active consumers. The existing general abs_coarseObservable_sub_le_of_minimizer theorem can move byte-identically into earlier PhaseComparison/Stability, under the identical HCPolySupport namespace, implicit natural dimension and expose/public context. The corridor theorem will specialize it using the corridor field and corridor intersection. Arbitrary measurable subsets, all ellipticity/minimizer assumptions, NeZero dimension and exact original constants remain. Resample already imports Stability; no import, module or public name is added.

Two existing files are scoped; a four-source baseline (both files, the actual unchanged-source Averaging consumer and root) has not started, and no new worktree, copy or edit exists. All 27 local gates and the completed 3449.53s exact-head clean build remain retained. Clean, pin/source verification and public measurement writer all exited zero before actual source inspection. The same six-source sample was neutral: 38.336s to 37.220s; five changed files 35.713s to 34.669s. The clean run was 26.5% slower than predecessor 2726.15s; it is retained without retry.

A descriptive comparison of the two complete clean logs retains all 2205 modules. The five changed files total 54.0s to 71.7s in Lake-reported durations, including AssemblyComposedErrorWeighted 15s to 29s; 164 other owned dependents total 808.7s to 1026.1s. The 2036 modules outside the changed dependency closure total 9766.7s to 12343.4s, median 4.20s to 5.25s. These rounded job durations are not sequential build wall totals, and the groups share VM/build resources rather than being randomized untreated controls. This broad observed slowdown does not isolate a cause or discard a possible source cost. The controlled sequential sample and all slower observations remain retained.

Full current-head remote CI is independently pending and will be preserved through terminal state and actual-shard/canonical-gate verification before any later head is pushed. Auto-merge remains off and the PR stays outside the queue. Review metadata about contributor conclusions is not review authority; legitimate prior conclusions and findings remain preserved. Greptile49 completed this five-file update without a blocking incremental defect, while expressly leaving whole-contribution readiness unestablished. Primary-source fidelity passed; ancillary references remain unverifiable and the reviewer's local elaboration hit HTTP403 fetching Mathlib. Normal source, quality and native-queue protections remain required.

The port adapts namespaces and imports to the pinned Pool toolchain, preserves attribution, removes diagnostics and forbidden resource overrides by repairing proofs, and retains the mathematical assumptions and constants. Earlier repairs replace repeated low-level calculations with general finite-Lp, probability, coercive-energy, boundary-geometry, transport and moment infrastructure. Original public contracts and the six headline source files remain independently checked. Obsolete private scaffolding and reflexive proof-input fields are removed only after checking the real consumers and endpoints.

This update addresses the two actual source groups in configured review 2152:

  • boundaryRouteGeometryComparison and boundaryRouteEnergyComparison lose exactly nine reflexive equality premises for values already fixed by their let bindings (four and five respectively). Their complete original and new propositions are kernel-proved logically equivalent. The nonnegative-kappa hypothesis, all let formulas, event/geometric/PDE/forcing/boundary inputs and conclusions are retained. Both actual positional callers are updated; necessary rewrite equalities are derived locally. The two public Prop values change with this equivalence certification; all other existing public declaration headers and definition values are textually unchanged. The two theorem statements that use those aliases change by the same certified logical equivalence.
  • The existing offGridStabilityError_bound theorem moves byte-identically from InteriorComposedArith to its existing earlier ancestor OffGridStabilityArith, in the same namespace with the original implicit natural dimension. Both boundary-route error estimates and BoundaryPrefactor's eighth-index estimate reuse its general exponent-at-most-one and nonnegative-error contract. The distinct quarter-index calculation remains. Both scalar-frame cancellation consumers use the existing scalar_frame_cancel_le, preserving their original endpoints, inverse/nonnegative facts and constants. Two original private Assembly endpoint headers remain byte-identical.

All five actual diffs were read in full. There are no new public names, modules or imports, and no wrapper/card/root/pin/gate changes in this update. The common helper remains valid for every natural dimension and arbitrary permitted real exponent. The preceding generic two-term Gamma-tail moments and arbitrary-vector positive-scalar normalizer identities remain in place.

All 27 local stages pass. The warning-free full project build completed 7,121 jobs in 241.52s (incremental). Lint passed for 2205 modules (30491 declarations). Trust/option audits cover 16,173 public text declarations plus compiled auxiliaries without findings. The six headlines, all retained literal/value/reflexivity/series/analytic/geometry/transport/energy/adjoint/grid contracts, two complete original/new Prop equivalences, and six literal original public endpoint contracts pass. Generated indexes, style, repository static quality, whitespace, API/source audits and the controlled profile pass. No repository Python source changed. Source hash b20ca6a5151a1521af4f0c27b47cad4d78de8ebc05ed6d758afafc1a2a864cee; 73 net raw lines removed.

The first focused client build passed with two long-line warnings; those lines were wrapped and its source/log snapshot retained. The final focused build and full gates are diagnostic-free. The first scratch equivalence proof stopped after reducing reflexive equality premises to True; the checker was corrected to simplify the remaining True implications, then both complete equivalences passed. That original failed checker and log are retained. No production assumption, theorem strength, repository gate or waiver was changed.

The same six-source sequential sample is neutral overall: 38.336s → 37.220s (2.9% lower observed). The five changed files total 35.713s → 34.669s (2.9% lower observed). Both phases use the pinned Lean, -D Elab.async=false, one thread and cached dependencies. All six baseline Lean processes and their parent exited zero before the new worktree, cache copy or edit, after the predecessor clean/verification/public-measurement parents all exited zero. Every timed source hash is retained. All increases are retained below. The unchanged-source root has changed dependencies and is not an untreated control. No primary-agent build/profile/cache-copy overlapped either timing phase; shared VM/CI/review load remains uncontrolled. No causal whole-project speedup is established.

Module Baseline(s) Repaired(s)
OffGridStabilityArith 3.758 3.569
InteriorComposedArith 4.820 4.119
BoundaryPrefactor 5.240 5.176
AssemblyComposedErrorWeighted 10.325 10.316
ResidueRouteOne 11.569 11.489
Superdiffusion 2.623 2.551

Clean builds use LEAN_NUM_THREADS=4 lake build LeanPool.Superdiffusion.Imports, clearing owned artifacts while retaining dependency caches. Original baseline 2529.82s had different source/file counts. Immediate predecessor 2d81a08 passed 2726.15s, 7,121 jobs / 2,205 modules, zero diagnostics, stable source/head, a clean worktree and reverified pins. Its sequential sample was 47.800s → 39.586s; seven changed files 41.366s → 36.374s, including the retained ToLambdas increase 3.421s → 3.880s. Its clean result was 10.6% below the preceding 3049.65s. The earlier 3338.52s and every slower/neutral sample remain retained; these are observations under shared load, without isolated causation. No passing sample is repeated to seek a faster result.

The exact-head clean benchmark passed 7,121 jobs / 2,205 owned modules in 3449.53s, with zero warnings/errors, stable source and commit, a clean worktree and reverified compiler/Mathlib/manifest pins. Source hash b20ca6a5151a1521af4f0c27b47cad4d78de8ebc05ed6d758afafc1a2a864cee. Only owned artifacts were cleared; unchanged dependency caches remained. No primary-agent build, profile or cache copy overlapped. Publication of the already committed head, status/API/log/review inspection and report bookkeeping may overlap and are not separately timed; actual source and commit remain fixed. Shared VM/review/CI load remains uncontrolled, so no causal whole-project speedup is established. Compared with the immediate predecessor’s 2726.15s, this is 26.5% slower observed. Shared-load variation remains uncontrolled. All observations and per-file increases are retained; no passing sample is repeated to seek a faster result. No primary-agent build/profile/cache-copy or next-repair source scoping overlaps that measurement. Publication of the immutable committed head, status/API/log/review reads and bookkeeping may overlap and are not separately timed. Independent VM/CI/review load remains uncontrolled.

Latest bounded Tau Ceti comparison: public main 56753e531d81765617cf493ca1d466f60fe739ec (committed 2026-10-16T09:44:29Z) was checked against the previously inspected 00e9cd3a snapshot. Complete recursive trees identified 391 changed Lean paths; every pathname/domain was read. Ninety-two relevant primary source blobs totaling 1,165,427 bytes were fetched and Git-blob-SHA verified; 1,055 comment-stripped public lexical names, 16 complete selected types with their preceding scope commands, and six complete implementation commands were inspected in bounded chunks. An initially aggregated inventory display was truncated; its middle chunks were reread without elision. The new PDE endpoints concern constant-coefficient interior H^(k+2) regularity, differentiated smooth-coefficient equations and odd harmonic reflection; these do not have the ABK independent multiscale shell-law hypotheses or diffusivity/displacement conclusions. Globally Lipschitz deterministic flow variations, conditional-iid strong laws/array coding, planar Green integration, Fourier multipliers/spectral gaps, finite-dimensional polar decomposition, ball averaging and geodesic existence likewise have different inspected contracts. Prior full pinned-Mathlib and earlier Tau comparisons remain retained; four current public Mathlib keyword searches also found no named matches, which is not semantic proof. This bounded source/type comparison found no corresponding six-headline development. It is an inference from the inspected evidence, not a universal equivalence test or a complete Tau proof/build/trust audit.

Predecessor 2d81a08's complete remote workflow, actual build shards, final lint and canonical Build project gate are verified before publication, with job/run/jobs/artifact records retained. Fresh exact-head CI and configured GPT/Greptile reviews remain independently required. Review 2152 passed all four mathematical/source rubrics and rated code quality DISCUSS 3; both source-verified groups are repaired here. Its local elaboration hit HTTP 403 fetching Mathlib. The primary ABK v2 source supports the headlines; ancillary notes/draft references remained unverifiable. Contributor prose is evidence to assess, not review authority; legitimate historical conclusions and findings are preserved. Greptile 48 completed the preceding seven-file update without reporting a blocking defect; its summary does not establish full-closure faithfulness, license, source, build or measured-cost clearance.

PR610 and PR611 are merged. Canonical current-main Lean CI and aggregate Build project were verified green on 0c1132c at 2026-10-16T06:19:13Z, satisfying the original rollout until-condition. Later source and generated-metadata heads are tracked with their actual, separately qualified CI evidence. No author branch is updated merely to chase main. This PR remains outside the native queue with auto-merge off while new validation/reviews are pending; admission must preserve every live protection.

At 2026-10-16T11:58:43.920149+00:00, main a68be5e810692e21ecd16b16759afcf019788dc6 had direct rollup {'state': 'SUCCESS'}. Its source-bearing parent 7253d11e47e67fa2778545636b8ef083819d9f93 had observed full CI SUCCESS; only README.md, NOTICE changed afterward. This qualification does not invent a fresh full Lean run directly on the metadata head. Pins, policy/gates and this project's sources are unchanged.

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Thorough source assessment of cb3d864928ad5ad57f4472acfc095098104f53e3. Conclusion: request changes.

This separate contributor assessment covers the retained upstream/whole-production-closure audit, both actual update diffs in full, complete original types and unchanged commands, exact licenses/provenance, dependency ordering, compiled trust/quality gates and measured compile evidence. Fresh configured reviews, exact-head clean measurement and full CI remain independently required.

The six headlines remain conditional ABK shell-law results: superdiffusion/displacement, generator renormalization, anomalous elliptic regularity, environmental measurability, integrability at each fixed positive time for almost every environment, and a common positive small-coupling threshold. No common exceptional event for all times is claimed. The C² carrier is stronger than the paper's local C1,1 assumption; Gaussian construction is absent and disclosed. Both exact upstream licenses are Apache-2.0, Armstrong/Kuusi attribution is retained, and predominantly AI proof provenance is accurate. August 22 announcement and September 6 material completion satisfy the fixed window. Existing pooled homogenization/Markov-process infrastructure is reused. Bounded Mathlib/Tau/pool comparisons support the novelty judgment without a universal equivalence claim.

Configured review 2154 completed: all four mathematical/source rubrics PASS; advisory code quality DISCUSS 3. Actual full source and contract inspection confirms one author-actionable group: InteriorComposed and ReindexComposed comparisonBounds3 repeat anchor-window geometry, L2/Gagliardo restrictions, the forcing comparison and scale-one weight proof. Both also contain six unused local facts plus unused proof-local aliases. The repair shares ordinary typed preparation and forcing lemmas while preserving the distinct n+2/n+3 coefficient slots, original forcing exponents and all endpoint contracts. Four existing files are scoped; the controlled five-source baseline is running before any new worktree, cache copy or source edit.

The current head passed all 28 local stages and a complete clean build of 7121 jobs / 2205 owned modules in 2882.80s with zero warnings/errors, stable source/commit/worktree and verified compiler/dependency pins. Clean, verification and public measurement parents all exited zero before new source inspection. The preceding clean run was 3449.53s; the observed 16.4% reduction under shared load does not isolate source causation. The controlled four-source sample was 32.269s to 13.145s, changed two files 15.617s to 6.403s; unchanged-source dependents and root are not untreated controls.

Remote CI remains healthy and pending; preserve it through terminal state, metadata retention and actual-shard/canonical-gate verification before a later push. Greptile50 reports no blocking defect in the two-file update and expressly leaves whole-contribution readiness unestablished. No full-closure clearance is claimed. Primary-source fidelity passed; ancillary references remain partly unverifiable and reviewer elaboration encountered Mathlib HTTP403. Legitimate review history is preserved. Auto-merge stays off and the PR remains outside the queue.

The port adapts namespaces and imports to the Pool's exact Lean/Mathlib pins, preserves attribution and proof provenance, and repairs warnings and prohibited resource overrides in the code. Earlier changes share general weak-solution, finite-Lp, probability, coercive-energy, adjoint, boundary-geometry, transport and moment infrastructure. The completed original contracts, value/reflexivity certificates and six headline sources remain checked. The preceding removal of nine reflexive boundary-contract premises retains complete kernel-checked old/new Prop equivalences.

The minimizer-stability assembly now has one implementation. The existing abs_coarseObservable_sub_le_of_minimizer theorem, including its documentation and proof, moves byte-identically from FixedPhase/Resample into its already imported earlier ancestor PhaseComparison/Stability. Both files have the same HCPolySupport namespace, implicit natural dimension and expose/public-section context. The theorem still handles arbitrary measurable subsets of the cube and two elliptic fields agreeing off that subset, with the original minimizer assumptions, NeZero dimension, real Theta >= 1 and exact constant 48.

The corridor theorem keeps its complete original type and becomes an eight-line specialization: corridor-field ellipticity, the measurable corridor intersection, its subset relation and field agreement off the intersection supply the general theorem's inputs. The second-minimizer construction, five integrability facts, two Euler identities and normalized-energy comparison are no longer repeated. The original core-resampling and grid-averaging consumers retain their own proof/interface contracts. Module overviews describe the shared assembly.

Both actual diffs were read in full. All eight original public headers are byte-identical; seven complete theorem commands are byte-identical, including the moved general theorem. Only the corridor proof body changes. No public name, import, module, wrapper, card, fixed LeanPool.lean, headline source, pin or gate is added or removed. This resolves the actual source finding in configured review 2153 without weakening a premise, conclusion, constant or subset generality.

All 28 local stages pass: warning-free 7,121-job full project build in 1262.08s (incremental), Lint passed for 2205 modules (30491 declarations). Trust/option audits cover 16,173 public text declarations and compiled auxiliaries without findings. All 27 prior gate stages remain, including six headlines, original value/reflexivity/series/analytic/geometry/transport/energy/adjoint/grid contracts and both complete original/new boundary Prop equivalences. Six new complete original contracts verify general two-field stability, corridor minimizer/existential forms, core-resampling minimizer/existential forms and the active grid-averaging endpoint. Indexes, style, repository static quality, whitespace, API/source audits and the controlled profile pass. No repository Python source changed. Source hash 3c66f1e92fcbd48a38b1a3869c5d48b85b21432b6e0c565e2e907dd2dd7b1a55; 103 net raw lines removed.

The first focused producer, both focused consumers and the six literal-contract preflight all passed without diagnostics. The source audit checks the complete moved block, seven unchanged complete commands, all eight original headers, identical imports and all six unchanged headline sources. No suppression, waiver or repository check changed.

The same four-source sequential sample is lower observed: 32.269s → 13.145s (59.3% lower observed). The two changed files total 15.617s → 6.403s (59.0% lower observed). Every producer and per-file increase is retained below. Averaging and the root have unchanged source but changed dependencies, so neither is an untreated control. Both phases use pinned Lean, -D Elab.async=false, one thread and cached dependencies. Every baseline Lean process and its parent exited zero after the predecessor clean/verification/public-measurement parents all exited zero, before the new worktree, cache copy or source edit. The 89.31s cache copy also exited zero before the first edit. Every timed source hash is retained. No primary-agent build/profile/cache-copy overlapped either timing phase; shared VM/CI/review load is uncontrolled. No causal whole-project speedup is established.

Module Baseline(s) Repaired(s)
Stability 10.516 3.981
Resample 5.101 2.422
Averaging 6.739 4.009
Superdiffusion 9.913 2.733

Clean measurements use LEAN_NUM_THREADS=4 lake build LeanPool.Superdiffusion.Imports, clearing owned artifacts while retaining dependency caches. Original baseline 2529.82s had different source/file counts. Immediate predecessor 628402d passed 3449.53s, 7,121 jobs / 2,205 modules, zero diagnostics, stable source/head, a clean worktree and reverified pins. That is 26.5% slower observed than its predecessor's retained 2726.15s; it is not discarded or retried. Its controlled sample was neutral: 38.336s → 37.220s, five changed files 35.713s → 34.669s.

The two complete clean logs retain all 2,205 modules. Five changed files total 54.0s → 71.7s in Lake-reported job durations, including AssemblyComposedErrorWeighted 15s → 29s; 164 other owned dependents total 808.7s → 1026.1s. The 2,036 modules outside the changed dependency closure total 9766.7s → 12343.4s, median 4.20s → 5.25s. Rounded job durations are not sequential build wall totals; the groups share resources rather than being randomized controls. This broad observed change does not isolate a cause or discard possible source cost. All earlier slower/neutral results and per-file increases remain retained.

The exact-head clean benchmark passed 7,121 jobs / 2,205 owned modules in 2882.80s, with zero warnings/errors, stable source and commit, a clean worktree and reverified compiler/Mathlib/manifest pins. Source hash 3c66f1e92fcbd48a38b1a3869c5d48b85b21432b6e0c565e2e907dd2dd7b1a55. Only owned artifacts were cleared; unchanged dependency caches remained. No primary-agent build, profile or cache copy overlapped. Publication of the already committed head, status/API/log/review inspection and report bookkeeping may overlap and are not separately timed; actual source and commit remain fixed. Shared VM/review/CI load remains uncontrolled, so no causal whole-project speedup is established. Compared with the immediate predecessor’s 3449.53s, this is 16.4% faster observed. Shared-load variation remains uncontrolled. All observations and per-file increases are retained; no passing sample is repeated to seek a faster result. No primary-agent build/profile/cache-copy or next-repair source scoping overlaps that measurement. Publication of the immutable committed head, status/API/log/review reads and bookkeeping may overlap and are not separately timed. Shared VM/CI/review load remains uncontrolled. No passing sample is repeated to seek a faster result.

Latest bounded Tau Ceti comparison reaches public main 9e2492a8691567917b76af610f7045c85a050d6f (committed 2026-10-16T13:03:56Z). Complete recursive trees were compared across 56753e53 to 61e414c0 and then to 9e2492a8. All 399 and 13 changed Lean pathnames/domains were read. Across those deltas, 41 primary blobs totaling 514,951 bytes were fetched and Git-blob-SHA verified; all 456 comment-stripped public lexical names, 20 complete selected contracts with preceding scope commands, and nine complete implementation commands were inspected without elision. The continuity-equation structure was read with every field. The first delta's flow result is locally uniform continuity of orbits; its transport results assume given absolutely continuous paths and return weak continuity equations with a conditional-expectation velocity. Cartan/Lie-derivative identities, Morse trajectory compactness, dual-surjectivity bounds and Lp multiplication/norm results have different inspected contracts from the ABK shell-law diffusivity/displacement and random-regularity conclusions. The second delta leaves all 28 previously inspected analysis/flow/transport/manifold blobs unchanged; its contracts concern Lie decompositions and complete reducibility, function-field residue degrees, finite Galois cycle types, modular-form analytic rank and cyclotomic etaleness. No corresponding six-headline development was found in these inspected deltas. Earlier pinned-Mathlib and Tau source comparisons remain retained. This is a bounded source/type judgment, not a universal semantic-equivalence test or a complete Tau build/trust audit.

Predecessor 628402d's complete remote CI is verified before publication: all six actual build shards, Assemble and lint, canonical Build project and workflow success, with job/run/jobs/artifact records retained. Fresh exact-head CI, configured GPT/Greptile reviews and the clean benchmark remain independently required. Review 2153 passed all four mathematical/source rubrics and rated code quality DISCUSS 3; its one source-verified minimizer-assembly finding is repaired here. The review's local elaboration hit HTTP 403 fetching Mathlib. The primary ABK v2 source supports the conditional headlines; ancillary regularity notes and draft-specific citations remained unverifiable. Contributor prose is evidence to assess rather than review authority; legitimate historical conclusions and findings are preserved. Greptile 49 found no blocking incremental defect in the preceding five-file update, while explicitly leaving whole-contribution readiness unestablished. Its summary does not establish full-closure source, license, build or measured-cost coverage.

PR610 and PR611 are merged. Full canonical main Lean CI and Build project were verified green at 0c1132c on 2026-10-16T06:19:13Z, satisfying the original rollout until-condition. Later main heads retain their actual, separately qualified CI evidence. No author branch is updated merely to chase main. This PR remains outside the native queue with auto-merge off while fresh validation/reviews are pending. Any eligible admission must preserve every live mathematical and quality protection.

At 2026-10-16T13:20:04.020667+00:00, main a68be5e810692e21ecd16b16759afcf019788dc6 had direct rollup SUCCESS; source-bearing parent 7253d11e47e67fa2778545636b8ef083819d9f93 had observed full CI SUCCESS. Only README.md, NOTICE changed afterward. This qualification does not invent a fresh full Lean run on the metadata head. Pins, policy/gates and this project's sources remain unchanged.

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Thorough source assessment of 26acd92a0113d0f64b085a9f2206e3fc2f312e3f. Conclusion: request changes.

This separate contributor assessment covers the retained upstream/whole-production-closure audit, all four actual update diffs in full, complete original contracts, exact licenses/provenance, dependency ordering, compiled trust/quality gates and measured compile evidence. Fresh configured reviews, exact-head clean measurement and full CI remain independently required.

The six headlines remain conditional ABK shell-law results: superdiffusion/displacement, generator renormalization, anomalous elliptic regularity, environmental measurability, integrability at each fixed positive time for almost every environment, and one positive small-coupling threshold. No common exceptional event for all times is claimed. The C² carrier is stronger than local C1,1 in the paper; Gaussian construction is absent and disclosed. Both exact upstream licenses are Apache-2.0, Armstrong/Kuusi attribution is retained and predominantly AI proof provenance is accurate. August22 announcement and September6 material completion satisfy the fixed window. Existing pooled homogenization/Markov-process infrastructure is reused. Bounded Mathlib/Tau/pool comparisons support novelty without a universal equivalence claim.

Configured review 2155 completed with all four mathematical/source rubrics PASS and advisory quality DISCUSS 3. Actual source inspection now confirms both reported groups: the two public square-root anchor-energy estimates repeat scalar factorization at different diffusivity slots and forcing exponents; the scale-one Besov weight has an existing public copy and two inline boundary copies. Both boundary files also repeat the forcing-bound argument already captured by the arbitrary-family helper. Five existing files are scoped for one coherent repair: one scalar energy inequality for arbitrary positive diffusivity and real exponent, one weight implementation with both public names preserved via forwarding, and forcing-helper reuse with all route-specific window factors unchanged. No import, module, root, card, pin or gate change is planned.

The six-source baseline (five changed files plus root) is running before any new isolated worktree, cache copy or source edit. All29 local stages and the verified exact-head clean 3491.89s build remain retained: 7121 jobs / 2205 modules, zero warnings/errors, stable source/head/worktree and reverified pins. Clean, verification and public measurement parents all exited zero before this new source inspection. The 21.1% slower clean observation versus predecessor2882.80s is retained without retry. The controlled five-source sample was 37.323s to26.291s; changed four files33.202s to23.643s. Shared VM load is uncontrolled; no causal whole-project speedup is claimed.

The source assessment remains request changes until these concrete findings are repaired and verified. Current remote CI remains healthy and pending; preserve its terminal actual-shard/canonical-gate evidence before any later push. Greptile51 found no blocking incremental defect and expressly did not clear the whole contribution. Historical conclusions, raw review results and every timing observation remain preserved. Auto-merge stays off and the PR remains outside the queue.

The port adapts namespaces and imports to the Pool's exact Lean/Mathlib pins, retains attribution and accurate AI proof provenance, and repairs warnings and prohibited resource overrides in the code. Earlier changes share general weak-solution, finite-Lp, probability, energy, adjoint, boundary-geometry, transport and moment infrastructure. Complete original contracts, value/reflexivity certificates and all six headline sources remain checked. Nine removed reflexive boundary-contract premises retain complete kernel-checked old/new Prop equivalences. The preceding general minimizer-stability assembly keeps arbitrary measurable subsets and the exact constant 48.

This repair shares the duplicated comparison preparation in InteriorComposed and ReindexComposed. interior_comparison_window_data supplies both translated-cube containments and four L2/Gagliardo memberships on the parent window and child. It has no coefficient model or slot assumption. coarseGrainingForceTerm_le_of_seminorm_bounds composes bracket and seminorm estimates for arbitrary coefficient families and comparators. A third helper proves the scale-one origin-cube Besov weight once. Both existing routes use these helpers. Six unused facts and four unused aliases are removed from each private proof; each removed local name was verified to occur only once.

The actual four diffs were read in full. All 26 existing public headers and definition values are unchanged. In both consumer files, the entire source outside the private comparisonBounds3 proof body is byte-identical, including complete private contract aliases and public endpoint proofs. The nineteen output facts, distinct n+2/n+3 coefficient slots, s^(-11/2)/s^(-3) energy powers and s^(-19/2)/s^(-7) final powers remain. No import, module, wrapper, card, fixed LeanPool.lean, headline source, pin, gate or suppression changes. Three ordinary public helpers are added in already-imported ancestors. This repairs the source-verified group in configured review 2154 without weakening a statement or hiding an assumption.

All 29 local stages pass: warning-free 7,121-job full project build in 377.51s (incremental), Lint passed for 2205 modules (30494 declarations). Trust/option audits cover 16,176 public text declarations plus compiled auxiliaries without findings. All 28 prior stages remain, including the six headlines and every earlier contract/value certificate and both full boundary Prop equivalences. Two new checks compile the complete original interior and add-three public endpoint contracts. Indexes, style, static repository quality, whitespace, API/source audits and the controlled profile pass. No repository Python source changed. Source hash 7daa62b07dd1982f801954521024a5fbcb66fe0e28af1f19724136f175ee2144; 52 net raw lines removed.

The focused producers, both focused consumers and original-contract preflight passed first attempt with no warnings/errors. The scratch API assertion initially expected short helper names while the inventory correctly returned fully qualified names; that expectation was fixed, with the failed check retained. No source or repository gate was changed for that correction.

The same five-source sequential sample is lower observed: 37.323s → 26.291s (29.6% lower observed). Four changed files total 33.202s → 23.643s (28.8% lower observed). All per-file timings and increases are retained below. The root has unchanged source but changed dependencies and is not an untreated control. Both phases use pinned Lean, -D Elab.async=false, one thread and cached dependencies. Every baseline Lean process and its parent exited zero after the predecessor clean/verification/public-measurement parents all exited zero, before the new worktree, cache copy or edit. The 86.12s cache copy also exited zero before the first edit. Every timed source hash is retained. No primary-agent build/profile/cache-copy overlapped either timing phase; shared VM/CI/review load is uncontrolled. No causal whole-project speedup is established.

Module Baseline(s) Repaired(s)
InteriorAssemblyAnchorShape 4.623 2.602
InteriorComposedArith 4.239 4.197
InteriorComposed 14.088 7.737
ReindexComposed 10.252 9.107
Superdiffusion 4.121 2.648

Clean measurements use LEAN_NUM_THREADS=4 lake build LeanPool.Superdiffusion.Imports, clearing owned artifacts while retaining dependency caches. The original baseline was 2529.82s, with different source/file counts. Immediate predecessor cb3d864 passed 2882.80s, all 7,121 jobs and 2,205 modules, zero warnings/errors, stable source/head/worktree and reverified compiler/dependency pins. Its controlled sample was 32.269s → 13.145s, two changed files 15.617s → 6.403s. Its clean time is 16.4% lower observed than 628402d's 3449.53s, without isolated causation. The earlier 2726.15s → 3449.53s slowdown remains retained, along with every earlier neutral/slower sample and per-file increase. A descriptive comparison of those complete cold logs found increases both in changed/dependent files and outside their dependency closure; those rounded job durations and shared-resource groups are not sequential wall totals or randomized controls.

The exact-head clean benchmark passed 7,121 jobs / 2,205 owned modules in 3491.89s, with zero warnings/errors, stable source and commit, a clean worktree and reverified compiler/Mathlib/manifest pins. Source hash 7daa62b07dd1982f801954521024a5fbcb66fe0e28af1f19724136f175ee2144. Only owned artifacts were cleared; unchanged dependency caches remained. No primary-agent build, profile or cache copy overlapped. Publication of the already committed head, status/API/log/review inspection and report bookkeeping may overlap and are not separately timed; actual source and commit remain fixed. Shared VM/review/CI load remains uncontrolled, so no causal whole-project speedup is established. Compared with the immediate predecessor’s 2882.80s, this is 21.1% slower observed. Shared-load variation remains uncontrolled. All observations and per-file increases are retained; no passing sample is repeated to seek a faster result. No primary-agent build/profile/cache-copy or next-repair source scoping overlaps it. Publication of the immutable committed head, status/API/log/review reads and bookkeeping may overlap and are not separately timed. Shared load is uncontrolled. No passing sample is repeated to seek a faster result.

Latest bounded Tau Ceti comparison reaches public main 9e2492a8691567917b76af610f7045c85a050d6f (committed 2026-10-16T13:03:56Z). Complete recursive trees were compared across 56753e53 to 61e414c0 and then to 9e2492a8. All 399 and 13 changed Lean pathnames/domains were read. Across those deltas, 41 primary blobs totaling 514,951 bytes were fetched and Git-blob-SHA verified; all 456 comment-stripped public lexical names, 20 complete selected contracts with preceding scope commands, and nine complete implementation commands were inspected without elision. The continuity-equation structure was read with every field. The first delta's flow result is locally uniform continuity of orbits; its transport results assume given absolutely continuous paths and return weak continuity equations with a conditional-expectation velocity. Cartan/Lie-derivative identities, Morse trajectory compactness, dual-surjectivity bounds and Lp multiplication/norm results have different inspected contracts from the ABK shell-law diffusivity/displacement and random-regularity conclusions. The second delta leaves all 28 previously inspected analysis/flow/transport/manifold blobs unchanged; its contracts concern Lie decompositions and complete reducibility, function-field residue degrees, finite Galois cycle types, modular-form analytic rank and cyclotomic etaleness. No corresponding six-headline development was found in these inspected deltas. Earlier pinned-Mathlib and Tau source comparisons remain retained. This is a bounded source/type judgment, not a universal semantic-equivalence test or a complete Tau build/trust audit. A subsequent public-head refresh reaches de151a7ab22990d8e935af36a7139f8667b1d2a4 (committed 2026-10-16T14:42:25Z). Complete recursive trees reveal 119 further changed Lean paths; every pathname/domain was read. All 32 changed analysis, geometry, probability and optimal-transport blobs (315,596 bytes) were fetched and Git-blob-SHA verified. Every one of their 365 comment-stripped public lexical names, eight complete selected contracts with preceding scope commands, and four complete implementation commands was read without elision. Inspected conclusions are planar Green/area-energy identities, the model-space Laplace–Beltrami/Laplacian identity, optimal dynamic-plan Wasserstein interpolation, iid empirical barycenter consistency, empirical-measure counting and the model-space gradient identity. They supply different inspected contracts from the ABK random-shell diffusivity/displacement and anomalous elliptic regularity headlines. Other changed domains include sheaves, algebraic groups, Galois certificates and number theory, judged by their complete path/domain inventory rather than a full proof audit. No corresponding headline development was identified in the inspected source/types; this remains bounded judgment rather than a universal equivalence or complete Tau build/trust audit.

Predecessor cb3d864's complete remote CI is verified green before publication: all six actual build shards, Assemble and lint, canonical Build project and complete workflow SUCCESS. The retainer and strict actual-topology verifier both exited zero; complete job/run/jobs/artifact records and three artifact metadata entries are retained. The legacy raw Build pool job is skipped as expected in sharded mode, not itself evidence of a pass. Fresh exact-head CI, configured GPT/Greptile reviews and the clean benchmark remain required. Review 2154 passed all four mathematical/source rubrics and rated advisory quality DISCUSS 3; its one actual source group is repaired here. Reviewer elaboration encountered Mathlib HTTP403. Primary ABK v2 fidelity passed; ancillary references remain partly unverifiable. Greptile50 found no blocking defect in the preceding two-file update while leaving whole-contribution readiness unestablished. No full-closure coverage or clearance is inferred. Historical findings and legitimate contributor conclusions are preserved.

PR610/611 are merged. Full canonical main Lean CI and Build project at 0c1132c were verified green on 2026-10-16T06:19:13Z, fulfilling the original rollout condition. Later main statuses retain their separately qualified evidence. No author branch is changed merely to chase main. Auto-merge remains off and this PR remains outside the native queue until fresh validation/reviews permit admission through every live mathematical and quality protection.

At 2026-10-16T15:00:27.491226+00:00, main a68be5e810692e21ecd16b16759afcf019788dc6 had direct rollup SUCCESS. Source-bearing parent 7253d11e47e67fa2778545636b8ef083819d9f93 had full CI SUCCESS; only README.md, NOTICE changed afterward. This does not invent a fresh full Lean run on the metadata head. Pins, gates and this project remain unchanged.

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Thorough source assessment of cfb61b3e7b50efba07259efff7bf886cb9908b99. Conclusion: request changes.

This separate contributor assessment covers the retained upstream/whole-production-closure audit, all five actual update diffs in full, complete original contracts, exact licenses/provenance, dependency ordering, compiled trust/quality gates and measured compile evidence. Fresh configured reviews, exact-head clean measurement and full CI remain independently required.

The six headlines remain conditional ABK shell-law results: superdiffusion/displacement, generator renormalization, anomalous elliptic regularity, environmental measurability, integrability at each fixed positive time for almost every environment, and one positive small-coupling threshold. No common exceptional event for all times is claimed. C² is stronger than the paper's local C1,1 assumption; Gaussian construction is absent and disclosed. Both exact upstream licenses are Apache-2.0, Armstrong/Kuusi attribution remains and predominantly AI proof provenance is accurate. August 22 announcement and September 6 material completion satisfy the fixed window. Existing pooled homogenization/Markov-process infrastructure is reused. Bounded Mathlib/Tau/pool comparisons support novelty without a universal equivalence claim.

Configured review 2156 completed with all four mathematical/source rubrics PASS and advisory quality DISCUSS 3. Actual source inspection confirms the reported group: three proofs repeat translated-domain normalized-L2 domination, triangle splitting, scalar/constant evaluation and translation transport. OneStepEvenBound already provides their shared dependency and all prerequisite APIs; no new module or import is needed. Four existing files are scoped: one estimate for an arbitrary measurable positive-finite-volume set, dominated function, residual, translation vector, nonnegative coefficient and remainder, followed by the three original geometry-specific specializations. Every original public statement, constant and geometric/harmonic assumption will remain.

The five-source baseline (four changed files plus root) is being retained before any new isolated worktree, cache copy or source edit. All30 local stages and the verified exact-head clean 4637.22s build remain retained: 7121 jobs /2205 modules, zero warnings/errors, stable source/head/worktree and reverified pins. Clean, verification and public measurement parents all exited zero before this source inspection. The 32.8% slower clean observation versus predecessor3491.89s is retained without retry. The original six-source sample was51.209s to57.415s; changed five files44.757s to54.503s. All twelve diagnostic runs/traces remain retained. Shared VM load is uncontrolled; no causal whole-project speedup or absence of regression is claimed.

The source assessment remains request changes until this concrete finding is repaired and verified. Current remote CI remains healthy and pending; retain its terminal actual-shard/canonical-gate evidence before any later push. Greptile52 found no blocking incremental defect and expressly did not clear the whole contribution. Historical conclusions, raw reviews and every timing observation remain preserved. Auto-merge stays off and the PR remains outside the queue.

The port adapts namespaces and imports to the Pool's exact Lean/Mathlib pins, retains attribution and accurate AI proof provenance, and repairs warnings and prohibited resource overrides in the code. Earlier changes share weak-solution, finite-Lp, probability, energy, adjoint, boundary-geometry, transport and moment infrastructure. Every earlier original contract/value certificate and all six headline sources remain checked. Nine removed reflexive boundary premises retain complete old/new Prop equivalences. General minimizer stability keeps arbitrary measurable subsets and exact constant 48; window/child preparation is coefficient-slot independent.

This update repairs both source-verified groups from configured review 2155. sqrt_scalar_anchor_energy_le supplies one scalar square-root factorization for arbitrary positive diffusivity, positive s, arbitrary real scale and forcing exponent, and nonnegative X/Y. It has no model, dimension, cube or measure parameter. The two original public anchor-energy estimates specialize it at their distinct n+2/-11 and n+3/-6 inputs, retaining exact -11/2 and -3 outputs and every original assumption.

The scale-one Besov weight has one unchanged implementation in InteriorComposedArith. The existing CoarseAssemblyBudget public name forwards to it, and both boundary-route inline copies reuse it. Both public names and original types remain. The same two boundary files now also reuse the existing arbitrary-family forcing helper, retaining their distinct gagliardoWindowConst*windowMoveConst and flushWindowConst factors. The other two comparison routes already use that helper.

All five actual diffs were read in full. All 42 existing public headers/definition values and complete private contract aliases remain unchanged; the canonical weight's complete command is byte-identical. Only one ordinary real-scalar helper is added. No import, module, wrapper, card, fixed LeanPool.lean, headline source, pin, gate or suppression changes. The repair improves proof reuse without weakening an endpoint, normalizing away a distinct exponent or adding a model hypothesis.

All 30 local stages pass: warning-free 7,121-job full project build in 395.91s (incremental), Lint passed for 2205 modules (30495 declarations). Trust/option audits cover 16,177 public text declarations plus compiled auxiliaries without findings. All 29 prior stages remain, including six headline checks, every earlier original contract/value certificate and both full boundary Prop equivalences. Four new complete original contracts check both public energy estimates and both public weight names. Indexes, style, static repository quality, whitespace, API/source audits and the controlled profile pass. No repository Python source changed. Source hash 5f40f7055c8a44ef7e61885c2ede1c267afa38a3c652fcbe5540e7167297cbde; 53 net raw lines removed.

The first scalar proof failed to elaborate automatic positivity and a square-root rewrite for explicit Real.rpow factors. Its source, log and failed result are retained; explicit nonnegativity facts fixed it without new assumptions. All four focused consumers then compiled, with one 103-character line warning retained and fixed by wrapping. The final affected-module rebuild and four complete original-contract preflight passed without warnings/errors. No waiver or repository check changed.

The same six-source sequential sample is higher observed: 51.209s → 57.415s (12.1% higher observed). Five changed files total 44.757s → 54.503s (21.8% higher observed). Every per-file timing and increase is retained below. The root has unchanged source but changed dependencies and is not an untreated control. Both phases use pinned Lean, -D Elab.async=false, one thread and cached dependencies. Every baseline process and its parent exited zero after predecessor clean/verification/public-measurement parents all exited zero, before any new worktree/cache copy/edit. The 94.48s copy also exited zero before first edit. Every timed source hash is retained. No primary-agent build/profile/cache-copy overlapped either timing phase; shared VM/CI/review load is uncontrolled. No causal whole-project speedup is established.

Module Baseline(s) Repaired(s)
InteriorComposedArith 8.319 4.806
ReindexComposed 8.548 13.343
CoarseAssemblyBudget 4.324 3.265
AssemblyComposedErrorWeighted 11.195 14.694
ResidueRouteOne 12.370 18.395
Superdiffusion 6.453 2.912

The retained original six-source sample is higher, including three slower consumers; it is not replaced. A diagnostic pass used built-in --profile on those three modules in both old/new worktrees, then six named trace-profiler runs with Elab.async=false, one thread, 20ms trace threshold and pretty-printed local JSON. Every diagnostic process and its parent exited zero; all old/new source hashes match the retained source snapshots. These instrumented runs have different overhead and shared scheduling and are not additional speedup samples. Named Reindex energy-proof value elaboration is 268.27ms → 37.35ms while its byte-identical outer endpoint is 2242.29ms → 3032.46ms; module traces are 11.740s → 11.822s. Assembly module traces are 22.973s → 15.392s and its changed endpoint 6102.33ms → 3246.47ms, despite the original uninstrumented increase. Residue module traces are 18.636s → 25.307s; its changed weighted endpoint is 4417.72ms → 5401.56ms, while byte-identical geometry-contract elaboration is 949.82ms → 1835.44ms, comparisonBounds4 is 1171.58ms → 1630.65ms and the plain endpoint is 568.89ms → 877.11ms. Nested inclusive node times are not additive wall totals; unchanged-source commands with changed dependencies are not untreated controls. No consistent new-call hotspot or further safe source change was identified. These observations do not isolate a cause or exclude possible source cost. All increases, original rows and raw traces remain retained. The evidence does not establish absence of regression or a whole-project speedup.

Clean measurements use LEAN_NUM_THREADS=4 lake build LeanPool.Superdiffusion.Imports, clearing owned artifacts while retaining dependency caches. Original baseline 2529.82s had different source/file counts. Immediate predecessor 26acd92 passed 3491.89s, all 7,121 jobs / 2,205 modules, zero warnings/errors, stable source/head/worktree and reverified compiler/dependency pins. That is 21.1% slower observed than cb3d864's retained 2882.80s. Its controlled sample was 37.323s → 26.291s, four changed files 33.202s → 23.643s. The slower clean result is retained without retry; these shared-load observations do not isolate source causation. All earlier neutral/slower results, including 2726.15s → 3449.53s, and every per-file increase remain retained. Rounded Lake job durations and changed/dependent/outside-closure groups from earlier cold-log comparisons are not sequential wall totals or randomized controls.

The exact-head clean benchmark passed 7,121 jobs / 2,205 owned modules in 4637.22s, with zero warnings/errors, stable source and commit, a clean worktree and reverified compiler/Mathlib/manifest pins. Source hash 5f40f7055c8a44ef7e61885c2ede1c267afa38a3c652fcbe5540e7167297cbde. Only owned artifacts were cleared; unchanged dependency caches remained. No primary-agent build, profile or cache copy overlapped. Publication of the already committed head, status/API/log/review inspection and report bookkeeping may overlap and are not separately timed; actual source and commit remain fixed. Shared VM/review/CI load remains uncontrolled, so no causal whole-project speedup is established. Compared with the immediate predecessor’s 3491.89s, this is 32.8% slower observed. Shared-load variation remains uncontrolled. All observations and per-file increases are retained; no passing sample is repeated to seek a faster result. No primary-agent build/profile/cache-copy or next-repair source scoping overlaps it. Publication of the immutable committed head, status/API/log/review reads and bookkeeping may overlap and are not separately timed. Shared load is uncontrolled. No passing sample is repeated to seek a faster result.

The latest bounded Tau Ceti comparison reaches public main 88dad0cd72745b6f22aea4a946b3f296748d7b11 (committed 2026-10-16T15:56:10Z, live-head match verified before publication). Complete recursive trees were compared from previously inspected 0d0da4df; all ten changed Lean pathnames/domains were read, including one deleted path. All nine surviving primary blobs (99,211 bytes) were fetched and Git-blob-SHA verified. Their 138 comment-stripped public lexical names, four complete selected contracts with preceding scope commands, and two complete implementation commands were read without elision. The inspected contracts concern contraction quasi-isomorphisms of cochain complexes, signed graded DG composition, pullback of wedge products of differential forms, and continuity of flipped continuous bilinear pairings. None supplies the six ABK random-shell diffusivity/displacement and anomalous elliptic regularity headlines. Earlier bounded comparisons remain retained: 399+13+119+56 changed-path inventories, 87 verified primary blobs totaling 991,195 bytes, 957 public lexical names, 34 complete selected contracts and 16 implementation commands. They cover flow/continuity-equation, empirical measures and barycenters, Green/area-energy, model-space gradient/Laplacian, analytic roots, manifold integration, Haar measure, Lie and number-theoretic contracts; their inspected conclusions also differ from the ABK headlines. Counts describe successive snapshots and may revisit files. This is bounded source/type judgment, not a universal semantic-equivalence test or a complete Tau proof/build/trust audit. Pinned-Mathlib and Pool comparisons remain retained. Four fresh public Mathlib code/issue searches also succeeded with zero indexed matches and incomplete_results=false at 2026-10-16T16:43:25Z; keyword absence supplements the source comparisons rather than proving semantic novelty.

Predecessor 26acd92's complete remote CI is verified green before publication: all six actual build shards, Assemble and lint, canonical Build project and workflow SUCCESS. Complete job/run/jobs/artifact records and three artifact metadata entries are retained; retainer and strict actual-topology verifier parents both exited zero. The legacy raw Build pool job is skipped as expected in sharded mode and is not itself pass evidence. Fresh exact-head CI, configured GPT/Greptile reviews and the clean benchmark remain independently required. Review 2155 passed all four mathematical/source rubrics and rated advisory quality DISCUSS 3; its two source-verified groups are repaired here. Reviewer elaboration encountered Mathlib HTTP403. Primary ABK v2 fidelity passed; ancillary references remain partly unverifiable. Greptile 51 found no blocking defect in the preceding four-file update while expressly not clearing the whole contribution for merging; full-closure coverage is not documented. Historical findings and legitimate contributor conclusions remain preserved.

PR610/611 are merged. Full canonical main Lean CI and Build project at 0c1132c were verified green on 2026-10-16T06:19:13Z, fulfilling the original rollout condition. Later main statuses retain separately qualified evidence. No author branch is changed merely to chase main. Auto-merge stays off and this PR remains outside the native queue until fresh validation/reviews permit admission through every live mathematical and quality protection.

At 2026-10-16T16:27:20.522306+00:00, main a68be5e810692e21ecd16b16759afcf019788dc6 had direct rollup SUCCESS. Source-bearing parent 7253d11e47e67fa2778545636b8ef083819d9f93 had full CI SUCCESS; only README.md, NOTICE changed afterward. This does not invent a fresh full Lean run on the metadata head. Pins, gates and this project remain unchanged.

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Thorough source assessment of fd264313deabfeec3415ca31e9c78b027860e1aa. Conclusion: request changes.

This separate contributor assessment covers the retained upstream/whole-production-closure audit, all four actual update diffs in full, complete original contracts, exact licenses/provenance, dependency ordering, compiled trust/quality gates and measured compile evidence. Fresh configured reviews, exact-head clean measurement and full CI remain independently required.

The six headlines remain conditional ABK shell-law results: superdiffusion/displacement, generator renormalization, anomalous elliptic regularity, environmental measurability, integrability at each fixed positive time for almost every environment, and one positive small-coupling threshold. No common exceptional event for all times is claimed. C² is stronger than the paper's local C1,1 assumption; Gaussian construction is absent and disclosed. Both exact upstream licenses are Apache-2.0, Armstrong/Kuusi attribution remains and predominantly AI proof provenance is accurate. August 22 announcement and September 6 material completion satisfy the fixed window. Existing pooled homogenization/Markov-process infrastructure is reused. Bounded Mathlib/Tau/pool comparisons support novelty without a universal equivalence claim.

Configured review 2158 completed with all four mathematical/source rubrics PASS and advisory quality DISCUSS 3. Actual source inspection confirms all three reported analytic pairs: identical C1/H1 gradient-identification contracts, identical nested-window average-comparison contracts, and identical small-coupling spare-factor threshold contracts. The repair will preserve the old public names and types: a small common gradient module below both branches, the mean theorem moved to already-common SlopeStabilityEndpoints with the other name forwarding, and a model-free threshold lemma for arbitrary base greater than one, positive coefficient and cap. Both old threshold forms keep base 3, coefficient 10^9 and cap 1/4. Import ancestry is checked; no pooled dependency, pin, gate, fixed root or card change is planned.

The eight-existing-source baseline (seven proof files plus the generated project wrapper) is being retained before any new isolated worktree, cache copy or edit. The repaired sample will include both new low-level modules and retain every increase. All 31 current local stages and the verified exact-head clean 3593.20s build remain retained: 7121 jobs / 2205 modules, zero warnings/errors, stable source/head/worktree and reverified pins. Clean, verification and public measurement parents all exited zero before this actual source inspection. This is 22.5% faster observed than the retained 4637.22s predecessor; shared load is uncontrolled and no causal whole-project speedup is claimed. The current controlled sample is 28.887s to 21.123s, including the one consumer increase 6.416s to 6.531s. All earlier slower/neutral observations remain retained without retry.

The source assessment remains request changes until these concrete findings are repaired and verified. Current remote CI assembly/lint remains pending and will be preserved through terminal actual-shard/canonical-gate verification before any later push. Greptile 53 found no blocking incremental defect and expressly did not clear the whole contribution. Historical conclusions, raw reviews and every measurement remain preserved. Auto-merge stays off and the PR remains outside the queue.

The port adapts namespaces and imports to the Pool's exact Lean/Mathlib pins, retains attribution and accurate AI proof provenance, and repairs warnings and prohibited resource overrides in the code. Earlier changes share weak-solution, finite-Lp, probability, energy, adjoint, boundary-geometry, transport, moment, scalar-energy and weight infrastructure. Every earlier original contract/value certificate and all six headline sources remain checked. Nine removed reflexive boundary premises retain complete old/new Prop equivalences. General minimizer stability keeps arbitrary measurable subsets and exact constant 48. Scalar energy endpoints retain distinct n+2/-11 and n+3/-6 inputs, and boundary forcing routes retain their distinct window constants.

This update repairs the source-verified group from configured review 2156. normalizedL2On_le_of_abs_le_translate proves the common domination, Minkowski, scalar/constant evaluation and translated-domain estimate once. It accepts any measurable set of positive finite volume, any dominated real function and residual, any translation vector, and any nonnegative scalar coefficient and remainder with explicit L2 hypotheses. It has no affine, face, slab, harmonic, Hessian or normal-direction assumption. The three existing corner, one-face and constant-mean bounds specialize it; all original geometry, harmonicity, Hessian assumptions and constants remain at the callers. The constant wrapper retains its original public type, including the finite-volume assumption.

All four actual diffs were read in full, including the final helper correction. All 22 existing public headers/definition values remain unchanged; three complete original public contracts were checked literally. One general estimate is added to an existing common dependency. There are no import, module, wrapper, card, fixed LeanPool.lean, headline source, pin, gate or suppression changes.

All 31 local stages pass: warning-free 7,121-job full project build in 508.44s (incremental), Lint passed for 2205 modules (30496 declarations). Trust/option audits cover 16,178 public text declarations plus compiled auxiliaries without findings. All 30 prior stages remain, including the six headlines, every earlier original contract/value certificate and both full boundary Prop equivalences. Three new complete original contracts check the corner, one-face and constant-mean estimates. Indexes, style, static repository quality, whitespace, API/source audits and controlled profile pass. No repository Python source changed. Source hash f46b26219e59351b9ad5eeff721f16766244931ac194b582c4729aad887b22f3; 65 net raw lines removed.

The first shared proof exposed a pointwise-versus-function absolute-value elaboration mismatch and one unnecessary-simpa warning. Its exact source, failed result and log are retained. Explicit function types for the two triangle bounds and the simpler simplification fixed them without new assumptions. The producer, all three focused consumers and all three complete original-contract preflight checks subsequently passed without warnings/errors. No repository gate changed.

The same five-source sequential sample is lower observed: 28.887s → 21.123s (26.9% lower observed). Four changed files total 24.922s → 18.521s (25.7% lower observed). Every per-file timing and increase is retained below. The root has unchanged source but changed dependencies and is not an untreated control. Both phases use pinned Lean, -D Elab.async=false, one thread and cached dependencies. Every baseline process and its parent exited zero after predecessor clean/verification/public-measurement parents all exited zero, before any new worktree/cache copy/edit. The 79.95s copy also exited zero before first edit. Every timed source hash is retained. No primary-agent build/profile/cache-copy overlapped either timing phase; shared VM/CI/review load is uncontrolled. No causal whole-project speedup is established.

Module Baseline(s) Repaired(s)
OneStepEvenBound 10.708 4.732
OneStepOddClassCorner 4.127 3.870
OneStepEvenBoundFinal 6.416 6.531
MeanFinalMeanBound 3.671 3.387
Imports 3.964 2.602

Clean measurements use LEAN_NUM_THREADS=4 lake build LeanPool.Superdiffusion.Imports, clearing owned artifacts while retaining dependency caches. Original baseline 2529.82s had different source/file counts. Immediate predecessor cfb61b3 passed 4637.22s, all 7,121 jobs / 2,205 modules, zero warnings/errors, stable source/head/worktree and reverified compiler/dependency pins. This is 32.8% slower observed than 26acd92's retained 3491.89s. Its original six-source sample was also higher, 51.209s → 57.415s; five changed files 44.757s → 54.503s. All twelve follow-up diagnostic runs/traces and byte-identical-command comparisons are retained. They did not isolate the cause or establish absence of source regression. All earlier neutral/slower results and every per-file increase remain retained without retry. Rounded Lake job durations and changed/dependent/outside-closure groups from earlier cold-log comparisons are not sequential wall totals or randomized controls.

The exact-head clean benchmark passed 7,121 jobs / 2,205 owned modules in 3593.20s, with zero warnings/errors, stable source and commit, a clean worktree and reverified compiler/Mathlib/manifest pins. Source hash f46b26219e59351b9ad5eeff721f16766244931ac194b582c4729aad887b22f3. Only owned artifacts were cleared; unchanged dependency caches remained. No primary-agent build, profile or cache copy overlapped. Publication of the already committed head, status/API/log/review inspection and report bookkeeping may overlap and are not separately timed; actual source and commit remain fixed. Shared VM/review/CI load remains uncontrolled, so no causal whole-project speedup is established. Compared with the immediate predecessor’s 4637.22s, this is 22.5% faster observed. Shared-load variation remains uncontrolled. All observations and per-file increases are retained; no passing sample is repeated to seek a faster result. No primary-agent build/profile/cache-copy or next-repair source scoping overlaps it. Publication of the immutable committed head, status/API/log/review reads and bookkeeping may overlap and are not separately timed. Shared load is uncontrolled. No passing sample is repeated to seek a faster result.

The latest bounded Tau Ceti comparison reaches public main 5dc62b211bf14f269ed16aafbf5ed46b3e55196e (committed 2026-10-16T18:05:42Z; live-head match verified 2026-10-16T18:27:32.086125+00:00). Complete recursive trees from previously inspected 52c0218b differ in two Lean paths. Both surviving primary blobs (13,771 bytes / 263 source lines) were fetched, Git-blob-SHA verified and read completely, including all nine lexical declaration statements and implementations (one private helper), imports and scope contexts. They prove local connectedness of continuous compact images and finite unions, plus local connectedness of inverted polygonal complex frontiers made of segments and rays. These contracts do not supply any of the six ABK random-shell diffusivity/displacement or anomalous elliptic regularity headlines. The preceding 52c0218b comparison retained all 113 changed pathnames, fifteen verified analysis/Lie/dynamic-group blobs totaling 126,325 bytes, 132 lexical names, eight complete selected contracts/definitions with contexts, four complete implementation commands and the complete supporting Lipschitz-domain definition. Every earlier bounded comparison remains retained. This is bounded source/type judgment, not universal semantic inequivalence or a full Tau proof/build/trust audit. Pinned-Mathlib and Pool comparisons remain retained. Four fresh public Mathlib code/issue queries succeeded with zero indexed matches and incomplete_results=false at 2026-10-16T18:18:17Z; keyword absence supplements the source comparisons rather than proving semantic novelty.

Predecessor cfb61b3's complete remote CI is verified green before publication: all six actual build shards, Assemble and lint, canonical Build project and workflow SUCCESS. Complete job/run/jobs/artifact records and three artifact metadata entries are retained; retainer and strict actual-topology verifier parents both exited zero. The legacy raw Build pool job is skipped as expected in sharded mode and is not itself pass evidence. Fresh exact-head CI, configured GPT/Greptile reviews and the clean benchmark remain independently required. Review 2156 passed all four mathematical/source rubrics and rated advisory quality DISCUSS 3; its source-verified group is repaired here. Reviewer elaboration encountered Mathlib HTTP403. Primary ABK v2 fidelity passed; ancillary references remain partly unverifiable. Greptile52 found no blocking defect in the preceding five-file update while expressly not establishing whole-contribution readiness to merge; full-closure coverage is not documented. Historical findings and legitimate contributor conclusions remain preserved.

PR610/611 are merged. Full canonical main Lean CI and Build project at 0c1132c were verified green on 2026-10-16T06:19:13Z, fulfilling the original rollout condition. Later main statuses retain separately qualified evidence. No author branch is changed merely to chase main. Auto-merge stays off and this PR remains outside the native queue until fresh validation/reviews permit admission through every live mathematical and quality protection.

At 2026-10-16T18:26:36.702408+00:00, main a68be5e810692e21ecd16b16759afcf019788dc6 had direct rollup SUCCESS. Source-bearing parent 7253d11e47e67fa2778545636b8ef083819d9f93 had full CI SUCCESS; only README.md, NOTICE changed afterward. This does not invent a fresh full Lean run on the metadata head. Pins, gates and this project remain unchanged.

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Thorough source assessment of 1d3d18ef813cd0096692c17df12acb9402172c73. Conclusion: request changes.

This separate contributor assessment covers the retained upstream/whole-production-closure audit, all ten actual update sources/diffs in full, complete original contracts, exact licenses/provenance, dependency ordering, compiled trust/quality gates and measured compile evidence including both new modules. Fresh configured reviews, exact-head clean measurement and full CI remain independently required.

The six headlines remain conditional ABK shell-law results: superdiffusion/displacement, generator renormalization, anomalous elliptic regularity, environmental measurability, integrability at each fixed positive time for almost every environment, and one positive small-coupling threshold. No common exceptional event for all times is claimed. C² is stronger than the paper's local C1,1 assumption; Gaussian construction is absent and disclosed. Both exact upstream licenses are Apache-2.0, Armstrong/Kuusi attribution remains and predominantly AI proof provenance is accurate. August 22 announcement and September 6 material completion satisfy the fixed window. Existing pooled homogenization/Markov-process infrastructure is reused. Bounded Mathlib/Tau/pool comparisons support novelty without a universal equivalence claim.

Configured review 2159 completed with all four mathematical/source rubrics PASS and advisory quality DISCUSS 3. Actual bounded source inspection verifies both reported duplication groups. All four reported files (2,007 lines) and all seven planned proof files have been read in full; initially elided displays were reread in bounded chunks before judgment.

The repair preserves existing public names, types and constants. Reflection arguments will share arbitrary continuous measure-preserving involution transport on an invariant open set, pointwise oddness from an a.e. representative, symmetrization, L² membership and harmonicity transfer. The common Weyl-representative module already lies below both branches; face-specific geometry remains in wrappers, and the two older continuity/harmonicity names retain compatibility. No added module or import is planned. The Agmon routes will share remainder-budget absorption after their original admissibility/weighted-energy witnesses are produced. Effective-constant mass and gradient normalization will share the same numerical comparison; distinct interior support, boundedness, zero trace and the sharp zero-divergence branch retain their original contracts. The existing effective-constant definitions are unchanged.

All 32 local stages and the exact-head clean result remain retained: 7,123 jobs / 2,207 modules in 3345.16s, zero warnings/errors, stable source/head/worktree and reverified pins. All three clean/verification/public-measurement parents exited zero before actual source inspection. This is 6.9% faster observed than the retained 3593.20s predecessor; shared load is uncontrolled and no causal speedup is claimed. The current eight-to-ten-source controlled sample is 16.9% higher including both new modules; all increases and diagnostic traces remain retained. A new sequential eight-source baseline (seven planned proof files plus the unchanged wrapper with changed dependencies) passed in 42.857s before successor worktree/cache copy/edit. Its parent exited zero; the 81.22s cache copy and its parent also exited zero before source editing. The wrapper is not an untreated control. No passing sample is repeated to seek a faster result.

The source assessment remains request changes until these concrete findings are repaired and verified. Current remote CI assembly/lint is tracked separately and will be preserved through terminal actual-shard/canonical-gate verification before a later push. Greptile54 found no actionable incremental defect, rated the update low impact and expressly did not clear the whole contribution; its whole diff was truncated and no build/timing measurement was performed. Every prior review and measurement remains preserved. Auto-merge stays off and the PR remains outside the queue.

The port adapts namespaces and imports to the Pool's exact Lean/Mathlib pins, retains attribution and accurate AI proof provenance, and repairs warnings and prohibited resource overrides in the code. Earlier changes share weak-solution, finite-Lp, probability, energy, adjoint, boundary-geometry, transport, moment, scalar-energy, weight and translated-L2 infrastructure. Every earlier original contract/value certificate and all six headline sources remain checked. Nine removed reflexive boundary premises retain complete old/new Prop equivalences. General minimizer stability keeps arbitrary measurable subsets and exact constant 48. Scalar energy endpoints retain their distinct slots/exponents, and boundary forcing routes retain their distinct window constants.

This update repairs all three source-verified pairs in configured review 2158:

  • One general C1/H1 gradient-identification proof sits in a small common module. Both original public names forward to it with identical types. It applies on arbitrary open subdomains with the original finite-measure hypothesis; it has no model, harmonicity or dimension-positivity premise. It imports only the existing Euclidean Sobolev foundation, and replaces the direct H1Transport import in HarmonicGradientSubmean.
  • The nested-window mean comparison has one distinctly named canonical proof in SlopeStabilityEndpoints, already imported by both branches. Both legacy public names and types remain as forwarding wrappers in their original modules, preserving the old module-level name visibility. The existing public subtraction identity moves to the same shared module and its private slope alias forwards; constant-average and constant-norm names reuse existing canonical facts. Only the now-unused private Campanato subtraction helper is removed.
  • A pure-Mathlib exponential-threshold lemma accepts an arbitrary base greater than one, positive exponential coefficient, positive cap and arbitrary real target. The old public/private threshold names specialize it to base 3, coefficient 10^9 and cap 1/4, preserving their original types, witness guarantees and constants.

All ten actual changed sources/diffs were read in full, including both new modules and the final type/documentation corrections. All 70 existing public headers/definition values remain unchanged. The private spare-threshold header is byte-identical. Both gradient files and both threshold files are byte-identical outside the repaired proof/import region; remaining slope and mean endpoints and Campanato definitions are separately byte-certified. Two new low-level modules and their generated wrapper imports are added. The fixed LeanPool.lean, project card, six headline source files, pins, gates and pooled dependency source remain unchanged.

All 32 local stages pass: warning-free 7,123-job full project build in 704.22s (incremental), Lint passed for 2207 modules (30491 declarations). Trust/option audits cover 16,181 public text declarations plus compiled auxiliaries without findings. All 31 prior stages remain, including the six headlines, every earlier original contract/value certificate and both full boundary Prop equivalences. Six new complete original public contracts check the two gradient names, two mean-comparison names, public spare-factor threshold and mesh-boundary threshold consumer. Indexes, style, static repository quality, whitespace, API/source audits and controlled profile pass. No repository Python source changed. Source hash 0386eac8e957d5e9201826c6f6425186d188fe535e341291f7299cd249dd5354; 8 net raw lines added, including the two new modules and compatible wrappers.

The first focused producer build exposed function-expression/pointwise rewrite mismatches and an inferred integrability-type projection. Its exact source, failed result and log are retained. Explicit integrability/function types and equality transport fixed them without new hypotheses. The final three producers, all six focused consumers and six complete original-contract preflight checks passed without warnings/errors. The first full rebuild also exposed a namespace collision in the unchanged CubeWindow caller when the old mean name became visible earlier in its imports. Its failed source/build/log are retained. Giving the canonical theorem a distinct name and retaining both legacy names in their original modules repaired it without a downstream edit; the focused namespace clients pass. The final pipeline checks this correction and preserved original documentation. No waiver or repository gate changed.

The controlled sequential sample includes the cost of both new modules: eight existing sources 30.092s → ten repaired sources 35.173s (higher observed, 16.9% higher observed). The same existing eight alone take 30.756s after repair; the two new modules cost 4.417s. Seven existing proof files total 27.125s → 28.325s. The wrapper has changed source/imports and is not an untreated control. Every timing and increase is retained below.

Both phases use pinned Lean, -D Elab.async=false, one thread and cached dependencies. Every baseline process and its parent exited zero after predecessor clean/verification/public-measurement parents all exited zero, before the new isolated worktree/cache copy/edit. The 55.86s copy also exited zero before first edit. All timed source hashes are retained and bound to the committed head. No primary-agent build/profile/cache-copy overlapped either timing phase. Shared VM, CI and review load remains uncontrolled; no causal whole-project speedup is established.

Module Baseline(s) Repaired(s)
GradientIdentification new module 2.622
RpowThreshold new module 1.795
SlopeStabilityEndpoints 3.347 3.351
HarmonicGradientSubmean 5.691 5.294
HarmonicReplaceGradient 2.487 2.606
CampanatoTelescope 3.132 3.007
MeanControlReduction 2.864 2.601
LocalizationFluctuationGammaFold 4.351 6.471
ShellNormalization 5.252 4.996
Imports 2.967 2.431

The original controlled sample is retained as 16.9% higher including both new modules; the same eight existing sources are 2.2% higher. The largest existing-file increase is LocalizationFluctuationGammaFold, 4.351s to 6.471s. Two additional diagnostic runs, one per old/new module, used the named trace profiler at a 1ms threshold, one thread and Elab.async=false. Both processes and their parents exited zero, and source hashes match the original snapshots. Instrumented module wall times are 6.059s to 6.278s. The repaired threshold proof's value elaboration is 362.06ms to 13.89ms; the byte-identical polynomial/exponential proof is 891.33ms to 1019.80ms. Changed imports/dependencies mean that unchanged command is not an untreated control. Nested inclusive timings are not additive wall totals, and instrumented timings do not replace the original sample. This inspection identifies no further safe refinement for the changed threshold call; it does not isolate overall source cost or exclude regression. The additional helper-module cost, all increases and both raw traces are retained without repeating the passing sample. No whole-project speedup is claimed.

Clean measurements use LEAN_NUM_THREADS=4 lake build LeanPool.Superdiffusion.Imports, clearing owned artifacts while retaining dependency caches. Original baseline 2529.82s had different source/file counts. Immediate predecessor fd26431 passed 3593.20s, all 7,121 jobs / 2,205 modules, zero warnings/errors, stable source/head/worktree and reverified compiler/dependency pins. This is 22.5% faster observed than cfb61b3's retained 4637.22s, which was 32.8% slower observed than 26acd92's 3491.89s. The fd26431 five-source sample was 28.887s → 21.123s, including OneStepEvenBoundFinal increasing 6.416s → 6.531s. All earlier slower/neutral observations, all twelve scalar-energy diagnostic runs/traces and every per-file increase remain retained without retry. These shared-load observations do not isolate source causation or establish absence of regression.

The exact-head clean benchmark passed 7,123 jobs / 2,207 owned modules in 3345.16s, with zero warnings/errors, stable source and commit, a clean worktree and reverified compiler/Mathlib/manifest pins. Source hash 0386eac8e957d5e9201826c6f6425186d188fe535e341291f7299cd249dd5354. Only owned artifacts were cleared; unchanged dependency caches remained. No primary-agent build, profile or cache copy overlapped. Publication of the already committed head, status/API/log/review inspection and report bookkeeping may overlap and are not separately timed; actual source and commit remain fixed. Shared VM/review/CI load remains uncontrolled, so no causal whole-project speedup is established. Compared with the immediate predecessor’s 3593.20s (7,121 jobs / 2,205 owned modules), this is 6.9% faster observed. Shared-load variation remains uncontrolled. All observations and per-file increases are retained; no passing sample is repeated to seek a faster result. No primary-agent build/profile/cache-copy or next-repair source scoping overlaps it. Publication of the immutable committed head, status/API/log/review reads and bookkeeping may overlap and are not separately timed. Shared load is uncontrolled. No passing sample is repeated to seek a faster result.

The public Tau Ceti head was observed at 3d76c1fc186ec9fd87d54740cc8ef1e5ec6a5d8e (commit 2026-10-16T20:02:42Z; observed 2026-10-16T20:25:47Z). Since the retained e6d14351 comparison, complete recursive trees expose 40 changed Lean paths, all read. Five analysis/optimal-transport/p-adic-measure blobs (68,223 bytes) have verified Git blob hashes; all 63 lexical declaration names were read. Eight selected complete declarations/definitions and implementations were inspected with actual scope contexts: modular fundamental domain and cofiniteness, central-element invariance of the half-plane action, the Gibbs-factor definition, bounded-cost dual attainment and greatest dual value, symmetric Gibbs self-coupling, and p-adic joint-projection extensionality. These inspected types concern modular actions, finite entropic transport and integral p-adic measures; none states the six conditional ABK stochastic-homogenization headlines. This is bounded source comparison, not a universal semantic-equivalence, full Tau source, build or trust audit. The earlier pinned Mathlib and pool-card/history/PR comparisons remain retained; four successful public Mathlib keyword queries at 2026-10-16T19:55:26Z returned no match, which is keyword evidence rather than semantic proof.

Predecessor fd26431's complete remote CI is verified green before publication: every actual build shard, Assemble and lint, canonical Build project and workflow SUCCESS. Complete job/run/jobs/artifact records and 3 artifact metadata entries are retained; retainer and strict actual-topology verifier parents both exited zero. The legacy raw Build pool job is skipped as expected in sharded mode and is not itself pass evidence. Fresh exact-head CI, configured GPT/Greptile reviews and the clean benchmark remain independently required. Review 2158 passed all four mathematical/source rubrics and rated advisory quality DISCUSS 3; its three source-verified analytic pairs are repaired here. Reviewer elaboration encountered pinned-Mathlib HTTP403. Primary ABK v2 fidelity passed with the disclosed C² restriction; ancillary draft references remain partly unverifiable. Greptile53 found no blocking defect in the preceding four-file update while expressly not clearing the whole contribution for merging; full-closure coverage is not documented. Historical findings and legitimate contributor conclusions remain preserved.

PR610/611 are merged. Full canonical main Lean CI and Build project at 0c1132c were verified green on 2026-10-16T06:19:13Z, fulfilling the original rollout condition. Later main statuses retain separately qualified evidence. No author branch is changed merely to chase main. Auto-merge stays off and this PR remains outside the native queue until fresh validation/reviews permit admission through every live mathematical and quality protection.

At 2026-10-16T19:15:51.385988+00:00, main 6464ab4d6dfa33b23c60824564e8fc59ab427dd3 had direct rollup none reported. Source-bearing parent 4bdfd1ea6f9e2ad5889be389576076a1e0095e06 had full CI SUCCESS; only README.md changed afterward. This does not invent a fresh full Lean run on the metadata head. Pins, gates and this project remain unchanged.

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Thorough source assessment of f0558759ac64ed953e936e2f591aa15fcf24f622. Conclusion: request changes.

This separate contributor assessment covers the retained upstream/production-closure audit, all seven actual update sources and diffs in full, complete original contracts, exact licenses/provenance, dependency ordering, compiled trust/quality checks and measured compile evidence. Fresh configured reviews, exact-head clean measurement and full CI remain independently required.

The six headlines remain conditional ABK shell-law results: superdiffusion/displacement, generator renormalization, anomalous elliptic regularity, environmental measurability, integrability at each fixed positive time for almost every environment, and one positive small-coupling threshold. No common exceptional event for all times is claimed. C² is stronger than the paper's local C1,1 assumption; Gaussian construction is absent and disclosed. Both exact upstream licenses are Apache-2.0; attribution and predominantly AI proof provenance are accurate. August 22 announcement and September 6 material completion satisfy the fixed eligible window. Existing pooled homogenization/Markov-process infrastructure is reused. Bounded Mathlib/Tau/pool comparisons support novelty without a universal equivalence claim.

Configured review 2160 completed: all four mathematical/source rubrics PASS; advisory quality DISCUSS 3. Actual source inspection confirms the reported unused lane constructions and related ordinary aliases. The cleanup covers 67 proof-local bindings in sixteen complete proof commands across eleven existing files. All sixteen original commands, including their full headers, were read; imports, scope contexts and dependency endpoints were inspected. This is a bounded update to the retained production-closure audit, not a new full read of every line in all eleven files.

The selected residue includes the three repeated collar-lane blocks, unused aggregate lane copies, after-band and wave-tail aliases and supporting quantities used only by those copies. An additional literal lane carrier was found manually: earlier named argument labels called L are not uses of that later local variable. The read-only lexical scan is only a source of leads. Local metric, completeness, Markov, probability, measurability, finite-measure and decidability instances and their supporting aliases are retained because absence of explicit name references does not rule out implicit use. Quantitative-property aliases are also conservatively retained. No public infrastructure, theorem premise, conclusion, constant, import or module is to be removed.

All 33 local stages, the complete clean build and full exact-head CI for f055875 are retained. The clean build passed 7,123 jobs / 2,207 owned modules in 3626.03s with zero warnings/errors, stable source/head/worktree and reverified compiler/Mathlib/manifest pins. It is 8.4% slower observed than the 3345.16s predecessor. The controlled eight-source reflection/Agmon sample was 42.857s → 36.708s; its unchanged wrapper increased 2.813s → 2.912s with changed dependencies and is not a control. Every earlier slower/neutral measurement and file increase remains retained; shared load is uncontrolled and no causal whole-project speedup or absence of regression is claimed.

All three clean/verification/public-measurement parents actually exited zero before the new source inspection. A new sequential twelve-source baseline (eleven planned proof files plus the unchanged wrapper with changed dependencies) passed in 84.153s before the successor worktree/cache copy/edit. Its parent exited zero, followed by the 102.22s cache copy and its parent exiting zero before source editing. The same twelve sources, with no new module costs omitted, will be measured after repair. No passing sample is repeated to seek a faster result.

Current complete CI verifies all seven actual shards, Assemble and lint, canonical Build project and the workflow SUCCESS. Complete job/run/jobs/artifact metadata, including 3 artifact entries, and both retainer/verifier exits are retained. The skipped legacy Build pool job is not pass evidence. Greptile55 found no blocking incremental defect and expressly did not clear the whole contribution for merging. The configured worker's public result identifies gpt-6.1-sol at xhigh, while README describes GPT-6-Astra; this run changes no review configuration and reports the observed worker identity.

The source assessment remains request changes until the concrete residue is repaired and verified. No source editing has begun at this checkpoint. Earlier assessments, source verdicts and every measurement remain preserved. Auto-merge is off and the PR remains outside the native queue.

The port uses the Pool's exact Lean/Mathlib pins, retains Armstrong/Kuusi attribution and accurate AI proof provenance, and repairs warnings and prohibited resource overrides in code. Earlier repairs share weak-solution, finite-Lp, probability, energy, adjoint, boundary, transport, moment, scalar and analytic infrastructure. Every earlier original-contract/value certificate and all six headline sources remain checked. Nine removed reflexive boundary premises retain complete old/new Prop equivalences. General minimizer stability retains arbitrary measurable subsets and constant 48. Distinct energy slots/exponents and forcing-window constants remain intact.

This update repairs both source-verified groups from configured review 2159:

  • Four branches now use a common analytic reflection argument: continuity of the Euclidean harmonic representative, harmonicity transported across pointwise equality, promotion of almost-everywhere oddness to pointwise oddness, and construction of a globally odd L2 representative. The common theorem accepts an arbitrary continuous measure-preserving involution and invariant open set, without a coordinate-face or model hypothesis. Both face-specific weak-extension/Weyl producers remain; their public contracts and original module locations remain unchanged. The common layer is in an existing ancestor, so weak H1 packaging gains no Weyl dependency.
  • Both mass routes retain their own energy/admissibility preparation and share the subsequent absorption proof. A general remainder budget extends the original zero-remainder lemma, whose public name/type still forwards unchanged. One coefficient comparison supplies the original mass and gradient constants, and both effective-mass wrappers share scalar normalization. The original rate budget, generality and constants are unchanged. The sharp zero-divergence branch is byte-identical.

All seven actual changed sources and diffs were read in full, followed by review of the final style corrections. All 58 existing public headers/definition values remain unchanged; eight public helpers and one private coefficient helper are added. No module or import is added; the wrapper and card are unchanged. The fixed LeanPool.lean, six headline sources, toolchain/Mathlib pins, gates, attribution and pooled dependency source remain unchanged. Boundary geometry/trace setup, piecewise oddness consumers, flush/mean endpoints, weighted-energy/product-gradient setup and the separate sharp branch have byte-preservation certificates.

All 33 local stages pass: warning-free 7,123-job full project build in 982.60s (incremental), Lint passed for 2207 modules (30500 declarations). Trust/option audits cover 16,189 public text declarations plus compiled auxiliaries without findings. All 32 prior stages remain, including the six headlines, earlier original contracts/values and both full boundary Prop equivalences. Thirteen new complete original public contracts check the legacy continuity/congruence names, both face oddness and whole-representative constructors, zero-remainder absorption, split/interior mass routes, effective gradient and sharp-branch consumer. Indexes, style, static repository quality, whitespace, API/source audits and the controlled profile pass. No repository Python source changed. Source hash cb8d97554426612a211fac7a0f2e819e204466d07c64e6586c81687c7b38ecf7; 281 net raw lines removed.

Focused development exposed rational-factor normalization, one coefficient-proof extraction boundary and explicit nonnegativity requirements; their failed exact-source/log/result snapshots are retained. One command used an invalid slash-separated Lake target and is recorded as a command failure. A consumer build found a 101-character line, which was wrapped. The first pipeline stopped on 167 unused-binder warnings in the scratch contract checker; its types elaborated, but the earlier exit-zero preflight was not warning-free. An initial introduction/application attempt still warned; ordinary declaration binders with explicit original theorem applications fix the harness, retaining every complete original header/type. No linter is disabled. Original harness, logs and failed pipeline are retained; completed unchanged-source stages are preserved. Final focused producers, all four focused consumers and the thirteen corrected original-contract checks pass without warnings/errors. No waiver or repository gate changed.

The controlled sequential sample uses the same eight sources: 42.857s → 36.708s (14.3% lower observed). The seven changed proof files total 40.044s → 33.796s. The source-identical wrapper has changed dependencies and is not an untreated control. Every file timing and increase is retained below.

Both phases use pinned Lean, -D Elab.async=false, one thread and cached dependencies. Every baseline process and its parent exited zero after all three predecessor clean/verification/public-measurement parents exited zero, before the new isolated worktree/cache copy/edit. The 81.22s cache copy also exited zero before first edit. Every timed source hash is retained and bound to this commit. No primary-agent build/profile/cache-copy overlapped either phase. Shared VM, CI and review load remains uncontrolled; these measurements do not isolate source causation or establish absence of regression.

Module Baseline(s) Repaired(s)
OneStepWeylRepresentative 6.045 5.133
OneStepOddCompose 2.839 2.706
OneStepCornerSeamCore 4.112 3.245
SealOddGlue 7.419 5.300
LocalizedWeightedEnergy 5.247 4.736
LocalizedSplitMass 9.374 8.835
LocalizedInteriorMass 5.008 3.842
Imports 2.813 2.912

Clean measurements use LEAN_NUM_THREADS=4 lake build LeanPool.Superdiffusion.Imports, clearing owned artifacts and retaining cached dependencies. Original baseline 2529.82s had different file/source counts. Immediate predecessor 1d3d18e passed 3345.16s, all 7,123 jobs / 2,207 modules, zero warnings/errors, stable source/head/worktree and reverified compiler/dependency pins. This was 6.9% lower observed than fd26431's 3593.20s (7,121 jobs / 2,205 modules). The preceding analytic repair's controlled eight-to-ten-source sample was 30.092s → 35.173s, including its two new modules: 16.9% higher observed; its same existing eight took 30.756s. Those increases, GammaFold diagnostic traces, all earlier slower/neutral measurements and each file increase remain retained without a passing retry.

The exact-head clean benchmark passed 7,123 jobs / 2,207 owned modules in 3626.03s, with zero warnings/errors, stable source and commit, a clean worktree and reverified compiler/Mathlib/manifest pins. Source hash cb8d97554426612a211fac7a0f2e819e204466d07c64e6586c81687c7b38ecf7. Only owned artifacts were cleared; unchanged dependency caches remained. No primary-agent build, profile or cache copy overlapped. Publication of the already committed head, status/API/log/review inspection and report bookkeeping may overlap and are not separately timed; actual source and commit remain fixed. Shared VM/review/CI load remains uncontrolled, so no causal whole-project speedup is established. Compared with the immediate predecessor’s 3345.16s (7,123 jobs / 2,207 owned modules), this is 8.4% slower observed. Shared-load variation remains uncontrolled. All observations and per-file increases are retained; no passing sample is repeated to seek a faster result. No primary-agent build/profile/cache-copy or next-repair source scoping overlaps it. Publication of the immutable committed head, status/API/log/review reads and bookkeeping may overlap and are not separately timed. Shared load remains uncontrolled. No passing sample is repeated to seek a faster result.

The public Tau Ceti head was observed at 6ae650c50269b211c934dfa7bb307094f5016f79 (commit 2026-10-16T21:40:18Z; observed 21:59:05Z). Complete recursive trees expose 134 changed Lean paths since the retained 3d76c1fc comparison, all read. Twenty PDE/measure/probability source blobs (382,476 bytes) have verified Git hashes; all 161 lexical declaration names were read. Ten selected complete contracts and implementations, with actual scope contexts, cover Caccioppoli energy estimates, harmonic Sobolev representatives, constant-coefficient Hessian estimates, local De Giorgi bounds, positive-supersolution reciprocal bounds, the heat equation for bounded measurable data, coded block/coordinate marginals and conditional de Finetti factorization, and optimal Gromov-Wasserstein couplings. This includes related general PDE infrastructure; the inspected contracts do not state the six conditional ABK multiscale stochastic-homogenization headlines. The comparison is bounded: not every fetched proof was read, and universal semantic equivalence, a full Tau source audit, build or trust audit was not established. Earlier pinned Mathlib and pool card/history/PR comparisons remain retained. Four successful public Mathlib keyword searches at 2026-10-16T21:59:06Z returned no matches; keyword absence alone is not semantic non-overlap proof.

Predecessor 1d3d18e's complete remote CI is verified green: all seven actual shards 00–06, Assemble and lint, canonical Build project and workflow SUCCESS. Complete job/run/jobs/artifact records and 3 artifact metadata entries are retained; the retainer and strict topology-verifier parents both exited zero before publication. The legacy raw Build pool job is skipped as expected in sharded mode and supplies no pass evidence. Fresh exact-head CI, configured GPT/Greptile reviews and clean timing remain independently required.

Configured review 2159 passed all four mathematical/source rubrics and rated advisory quality DISCUSS 3; both source-verified repair groups are addressed here. The review's own elaboration encountered pinned-Mathlib HTTP403. Primary ABK v2 fidelity passed with the disclosed C² restriction; ancillary draft references remain partly unverifiable. Greptile54 found no actionable incremental defect and confirmed the earlier boundary documentation fix. Its whole diff was truncated; it did not establish whole-closure faithfulness, novelty, completion, license/source, maintainability or cost, and ran no build/timing. Its check success does not clear the whole contribution. Historical findings and legitimate contributor/source conclusions remain preserved.

PR610/611 are merged. Full canonical main Lean CI and Build project at 0c1132c were verified green on 2026-10-16T06:19:13Z, fulfilling the original rollout condition. Later main statuses retain separately qualified evidence. No author branch is changed merely to chase main. Auto-merge stays off and this PR remains outside the native queue until fresh validation/reviews permit admission through every live mathematical and quality protection.

At 2026-10-16T19:15:51.385988+00:00, metadata main 6464ab4d6dfa33b23c60824564e8fc59ab427dd3 had direct rollup none reported; source-bearing parent 4bdfd1ea6f9e2ad5889be389576076a1e0095e06 had full CI SUCCESS. Only README.md changed afterward. This does not invent a full Lean run on the metadata head. Pins, gates and this project are unchanged.

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Vilin97 commented Oct 16, 2026

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Vilin97 commented Oct 17, 2026 •

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Thorough source assessment of 7a107b0e8858475c0882d232c99b19060b047118. Conclusion: approve.

This separate contributor assessment combines the retained upstream/production-closure audit with all sixteen complete original edited proof commands and all eleven actual diffs, exact licenses/provenance, dependency ordering, unchanged interfaces, compiled trust/quality checks and measured compile evidence. Configured reviews, exact-head clean measurement and full CI have now passed independently; current completion details follow below.

The six headlines remain conditional ABK shell-law results: superdiffusion/displacement, generator renormalization, anomalous elliptic regularity, environmental measurability, integrability at each fixed positive time for almost every environment, and one positive small-coupling threshold. No common exceptional event for all times is claimed. C² is stronger than the paper's local C1,1 assumption; Gaussian construction is absent and disclosed. Both exact upstream licenses are Apache-2.0; attribution and predominantly AI proof provenance are accurate. August 22 announcement and September 6 material completion satisfy the fixed eligible window. Existing pooled homogenization/Markov-process infrastructure is reused. Bounded Mathlib/Tau/pool comparisons support novelty without a universal equivalence claim.

The port uses the Pool's exact Lean/Mathlib pins, retains attribution and accurate AI proof provenance, and fixes warnings and prohibited resource overrides in code. Earlier repairs share weak-solution, probability, energy, adjoint, boundary, transport, moment, scalar and analytic infrastructure. All earlier contract/value certificates remain, including the complete equivalences for nine removed reflexive premises, arbitrary-set minimizer stability with constant 48, distinct forcing-window factors, general reflection representatives and Agmon mass normalization.

This update resolves the concrete unused-construction finding in configured review 2160. It removes 67 unused proof-local bindings in sixteen proofs across eleven existing files:

  • Repeated collar-lane constructions and their unused scalar dependencies are removed from four comparison proofs and the public per-descendant assembly. The actual lane bounds and measurable/nonnegative witnesses still come from the same canonical helpers.
  • Unused after-band, deep-tail, wave-tail and finite-exponent aliases are removed, including a literal lane carrier used only by two unused trace aliases. Earlier named argument labels called L were not references to that later local binder; this was checked manually.
  • Further ordinary unused aliases are removed from the component-potential, comparator, C0 resolvent, quenched-moment and localized-conservativity proofs. Existing local instances and their supporting aliases remain, including metric/completeness, Markov, probability, measurability, finite-measure and decidability data. Quantitative-property aliases are conservatively retained.

All sixteen complete original edited proof commands were read, with original headers, imports, scope contexts and dependency endpoints; all eleven actual diffs were read in full. This is bounded review of the update on top of the retained production-closure audit, not a new full read of every line in all eleven files. A read-only scan covered 2,206 project-directory source files and supplied candidates, not verdicts. Its remaining 28 matches concern possible implicit instances or supporting aliases and were not confirmed as unused. No universal claim that all source duplication or unused code is eliminated is made.

All 54 existing public headers/definition values and all sixteen complete edited theorem headers are unchanged. The only edits are the reviewed local-let deletions and stopping one intro before two unnecessary type-level lets. Every other source line has a byte-preservation certificate. No global declaration, useful infrastructure, import, module, helper, wrapper, card, fixed root, pin, gate or copyright header changes.

All 33 local stages pass, including the warning-free 7,123-job full project build in 5.40s (incremental), Lint passed for 2207 modules (30500 declarations). Trust/option audits cover 16,189 public text declarations plus compiled auxiliaries without findings. The six headlines, all retained original-contract/value certificates, the thirteen reflection/Agmon contracts and both full boundary Prop equivalences pass. Indexes, style, static repository quality, whitespace, API/source audits and the controlled profile pass. The first focused build of all eleven edited modules passed in 58.92s without warnings/errors. No repository Python source changed.

Source hash 260f4009e4028c7d5d579fe9cb45077c3d019e62736fd66609c7d5ffbc3eff67; 221 net raw lines removed, zero new public helpers, imports or modules. Public definition values and all theorem statements retain their original contracts. The compiler checks the resulting proofs; no theorem is weakened and no waiver or repository gate changes.

The same twelve-source controlled sample is 84.153s → 73.960s (observed difference, 12.1% lower observed). The eleven changed proof files total 81.485s → 71.543s. The unchanged wrapper has changed dependencies and is not an untreated control. Every timing and increase is retained below.

Both phases use pinned Lean, -D Elab.async=false, one thread and cached dependencies. All three predecessor clean/verification/public-measurement parents exited zero before actual new source inspection. Baseline processes and their parent exited zero before the successor worktree/cache copy/edit; the 102.22s copy and its parent also exited zero before editing. Every timed source hash is retained and bound to this commit. No primary-agent build/profile/cache-copy overlapped either phase. Shared VM, CI and review load remains uncontrolled; source causation and absence of regression are not established.

Module Baseline(s) Repaired(s)
ComponentPotentialBadFamily 3.097 2.276
SuperposedFluxUpperPerDescendant 15.658 16.268
UpperAfterBandConsumption 8.280 7.039
UpperDeepBandTailConsumption 10.893 8.096
UpperFiniteQGeTwoInfinityAggregation 7.924 7.548
UpperWaveTailE12Consumption 6.439 6.594
UpperWaveTailTraceE12Consumption 7.825 7.433
RelativeComparatorProbe 8.598 5.817
WholeSpaceC0 5.797 4.255
QuenchedMomentsComposer 4.385 3.411
LocalizedConservativity 2.588 2.806
Imports 2.668 2.417

Clean builds use LEAN_NUM_THREADS=4 lake build LeanPool.Superdiffusion.Imports, clearing owned artifacts and retaining cached dependencies. Original baseline 2529.82s had different file/source counts. Immediate predecessor f055875 passed 3626.03s, 7,123 jobs / 2,207 owned modules, with zero warnings/errors, stable source/head/worktree and reverified compiler/Mathlib/manifest pins. That is 8.4% slower observed than 1d3d18e's 3345.16s at the same counts. Its controlled eight-source sample was 42.857s → 36.708s; the unchanged wrapper increased 2.813s → 2.912s with changed dependencies. All earlier slower/neutral runs, diagnostic traces and per-file increases remain retained without a passing retry or causal whole-project speedup claim.

The exact-head clean benchmark passed 7,123 jobs / 2,207 owned modules in 3954.25s, with zero warnings/errors, stable source and commit, a clean worktree and reverified compiler/Mathlib/manifest pins. Source hash 260f4009e4028c7d5d579fe9cb45077c3d019e62736fd66609c7d5ffbc3eff67. Only owned artifacts were cleared; unchanged dependency caches remained. No primary-agent build, profile or cache copy overlapped. Publication of the already committed head, status/API/log/review inspection and report bookkeeping may overlap and are not separately timed; actual source and commit remain fixed. Shared VM/review/CI load remains uncontrolled, so no causal whole-project speedup is established. Compared with the immediate predecessor’s 3626.03s (7,123 jobs / 2,207 owned modules), this is 9.1% slower observed. Shared-load variation remains uncontrolled. All observations and per-file increases are retained; no passing sample is repeated to seek a faster result. No primary-agent build/profile/cache-copy or next-repair source scoping overlaps it. Publication of the immutable committed head, status/API/log/review reads and bookkeeping may overlap and are not separately timed. Shared load remains uncontrolled. No passing sample is repeated to seek a faster result.

The public Tau Ceti head was observed at 21698a6d30e20195c05e111281c9f01376afb40b (commit 2026-10-16T23:41:41Z; observed 23:51:33Z). Complete recursive trees expose 112 changed Lean paths after the retained 6ae650c5 comparison; every pathname was read. Fourteen selected analysis/manifold/measure/probability/topology blobs (131,971 bytes) have verified Git hashes. All 159 raw lexical names were read; a comment-stripped inventory is a verified subset, not a claim about the complete public API. Eleven selected complete contracts and implementations were read with actual scope contexts and supporting definitions: compact-support and half-space divergence, manifold Stokes, a directional Green example, monotonicity and critical-point convergence of adapted Morse flows, measurability of a joint Aldous-Hoover coding, parabolic projective-line conjugacy, Prekopa-Leindler, weighted Brunn-Minkowski and Euclidean volume splitting. Related general analysis infrastructure is present; none of these inspected contracts states the six conditional ABK multiscale stochastic-homogenization headlines. This is bounded source/type comparison: several fetched proofs and the remaining algebra/arithmetic/manifold changes were not inspected in full, and no universal semantic-equivalence, full Tau source/build or trust audit is claimed. The earlier pinned Mathlib and pool-card/history/PR comparisons remain retained. Four successful public Mathlib keyword queries at 2026-10-16T23:55:12Z returned no matches; keyword absence is not semantic non-overlap proof.

Predecessor f055875's complete CI is verified green before publication: all seven actual shards, Assemble and lint, canonical Build project and workflow SUCCESS. Complete job/run/jobs/artifact metadata and 3 artifact entries are retained; retainer and strict topology-verifier parents exited zero. The skipped legacy Build pool job is not pass evidence. Exact-head CI, configured reviews and the clean benchmark have now passed; current completion details follow below.

Review 2160 passed all four mathematical/source rubrics; its advisory quality DISCUSS 3 finding was the now-repaired unused local residue. Its elaboration attempt hit pinned-Mathlib HTTP403. The cited ABK v2 source supports the disclosed C² restriction; ancillary draft citations remain partly unverifiable. The worker's published header reports gpt-6.1-sol at xhigh, while README describes GPT-6-Astra; this run changes no review configuration and reports the observed worker identity. Greptile55 found no blocking incremental defect in the preceding seven-file update and explicitly did not clear the whole contribution for merging; whole-contribution coverage and build/timing work are not documented. Every earlier source verdict and legitimate contributor assessment remains preserved.

PR610/611 are merged. Full canonical main Lean CI and Build project at 0c1132c were verified green on 2026-10-16T06:19:13Z, fulfilling the original rollout condition. Later main statuses retain separately qualified evidence. No author branch is updated merely to chase main. Merged through the protected native SQUASH/ALLGREEN queue at 2026-10-17T01:52:47Z, commit a71068fc7bb1e472da87a72c7633d5f284e932d1.

At 2026-10-16T19:15:51.385988+00:00, metadata main 6464ab4d6dfa33b23c60824564e8fc59ab427dd3 had direct rollup none reported. Source-bearing parent 4bdfd1ea6f9e2ad5889be389576076a1e0095e06 had full CI SUCCESS; only README.md changed afterward. This does not invent a full Lean run on the metadata head.

Final validation completion for 7a107b0:

Current validation at 7a107b0 is complete: all 33 local stages pass, and exact-head CI passed all seven actual shards, Assemble and lint, the canonical Build project gate and the complete workflow. Complete job/run/jobs/artifact metadata is retained. The skipped legacy Build pool job is not a passed build execution.

Configured review 2162 computes approve: all five rubrics PASS, advisory quality 3/5, with no material maintenance finding. Its published worker is gpt-6.1-sol at xhigh; its own elaboration encountered pinned-Mathlib HTTP403. The headline ABK v2 citations pass source review; ancillary draft references remain unverifiable. Contributor-written historical approval claims are preserved and supply no authority for the independent rubrics. Greptile56 found no blocking defect in this eleven-file update and explicitly did not clear the whole contribution for merging. The separate existing source assessment also approves this head's patch without repeating the owner's builds.

The final bounded Tau Ceti refresh uses public head df53fc96598ebde4cc6392b9920268e45ebfc339 (commit 2026-10-17T00:53:34Z). All 44 changed Lean paths after 21698a6d and all 134 raw lexical names in twelve selected Git-hash-verified blobs (129,791 bytes) were read. Seven selected files were read fully, and eight selected complete contracts and proofs with actual scopes. General Lipschitz boundary charts, Jacobian/area formulas, Morse charts and series/fiber identities are present; no inspected contract states the six conditional ABK headlines. Other fetched proofs and unrelated algebra/arithmetic/category changes were not fully inspected. No universal equivalence, complete Tau source/build or trust audit is claimed. Successful public Mathlib keyword searches at 2026-10-17T01:14:42Z returned no Superdiffusion/ABKModel match; keyword absence is not semantic proof. Pool search still returns PR652 and the unrelated closed Kasami PR402; the retained main-card/history/source comparisons remain necessary.

Merged through the protected native SQUASH/ALLGREEN queue at 2026-10-17T01:52:47Z, commit a71068fc7bb1e472da87a72c7633d5f284e932d1. Observed 2026-10-17T01:34:57.954226+00:00. PR610/611 and their branches were not modified; their rollout until-condition was already fulfilled at the retained green main checkpoint. Every live mathematical, quality and branch protection remains in force.

Observed protected merge completion:

Merged through the protected native SQUASH/ALLGREEN queue at 2026-10-17T01:52:47Z, commit a71068fc7bb1e472da87a72c7633d5f284e932d1.

The merge-group Lean CI also completed successfully, including its actual Build pool and canonical Build project jobs. Complete job/run/jobs/artifact metadata is retained. The post-merge checkout confirms that all owned Superdiffusion source and its YAML card are byte-identical to reviewed head 7a107b0e8858475c0882d232c99b19060b047118. Subsequent main-push workflows are tracked separately; no unfinished main-push run is counted as success.

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Vilin97 commented Oct 17, 2026

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Vilin97 added this pull request to the merge queue Oct 17, 2026
Merged via the queue into main with commit a71068f Oct 17, 2026
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