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feat(benchmarks): add trigonometric power-sum valuation certificate - #332

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agent/harbor-trigonometric-power-sum-valuation
Aug 2, 2026
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feat(benchmarks): add trigonometric power-sum valuation certificate#332
morluto merged 10 commits into
mainfrom
agent/harbor-trigonometric-power-sum-valuation

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Summary

Adds trigonometric-power-sum-valuation, a Regression Harbor benchmark derived from nvidia/Nemotron-Math-Proofs-v2 meta-verification row 208 at immutable revision 7665d7f1d006fd89aa852a9dab8060c60b63f814 (CC-BY-4.0).

The task converts a trigonometric divisibility proof into an exact certificate containing the algebraic cubic, Newton-style power-sum recurrence, 25 exact recurrence terms with 7-adic valuations, and the three residue-class induction cases.

Quality gate

  • Quality score: 89/100
  • Family: Regression
  • Primary objective: exact symbolic recurrence and valuation induction
  • Difficulty: Hard (provisional; baseline calibration is pending)
  • Assurance ceiling: COMPUTED
  • Discrimination estimate: weaker agents may reproduce finite values but omit the all-index induction; stronger agents should derive and connect the cubic, recurrence, valuations, and residue classes

Shortcut audit

Numerical trigonometric approximation, a finite table alone, or a copied conclusion cannot pass. The verifier recomputes every recurrence term and exact 7-adic valuation and separately checks the symbolic residue-class offsets. The public source solution remains a contamination limitation, so this is explicitly a regression task rather than held-out capability evidence.

Deduplication

Checked against main and all active draft PRs by source, statement, workflow, verifier strategy, failure mode, and assurance boundary. This differs from the existing 2-adic nonlinear recurrence audit: it derives a linear recurrence from an algebraic trigonometric model and proves a three-residue 7-adic divisibility invariant.

Verification

The clean-room verifier independently checks:

  • the monic cubic and initial power sums
  • all recurrence values through n=24
  • every exact 7-adic valuation and required floor bound
  • all three coefficient-adjusted induction cases
  • evidence, scope, completeness, and assurance calibration
  • rejection of corrupted recurrence terms, corrupted induction data, malformed output, escaped evidence, and false VERIFIED claims

Validation

  • make harbor-check458 passed
  • focused corrupted-term and corrupted-induction tests — 2 passed
  • make complexity-check — baseline unchanged
  • Ruff lint and format — passed
  • git diff --check — passed
  • local Harbor container Oracle — unavailable because Docker is not installed; GitHub’s exact-task Oracle is the container gate

Assurance boundary

The finite table is recurrence-replay evidence, not a proof for all indices. The universal conclusion comes from the explicit residue-class induction contract. Maximum assurance remains COMPUTED: the verifier does not independently establish the cyclotomic/trigonometric derivation or provide proof-assistant verification.

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morluto marked this pull request as ready for review August 2, 2026 06:53

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morluto commented Aug 2, 2026

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morluto and others added 3 commits August 2, 2026 22:08
Commit 85b86c0 normalized the verifier but left the Dockerfile
jacobian.checksum label stale, failing the prospective digest check.
Update it to sha256(verifier.py).

Generated with [Devin](https://devin.ai)

Co-Authored-By: Devin <158243242+devin-ai-integration[bot]@users.noreply.github.com>

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@morluto
morluto merged commit 3c65ed6 into main Aug 2, 2026
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@morluto
morluto deleted the agent/harbor-trigonometric-power-sum-valuation branch August 2, 2026 15:04
@morluto morluto changed the title benchmarks: add trigonometric power-sum valuation certificate feat(benchmarks): add trigonometric power-sum valuation certificate Aug 24, 2026
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