Source authenticated

Optimal Exponent Relating Sumsets and Difference Sets

New arXiv preprint with an author-provided Lean formalization; not yet peer-reviewed.

Exact FrontierDelta

Prior state unknown→proved

Scope and record

Occurred: Jul 29, 2026

Delta type: SOURCE CLAIM

Assumptions: VibeMathed verification: lean-verified. Publication: preprint. AI contribution: ai-discovered. Imported under CC BY 4.0.

Canonical aliases: Optimal Exponent Relating Sumsets and Difference Sets · Sum–difference exponent

Confidence: Not scored

Registry verification: lean verified · preprint · resolved

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Attribution

VibeMathed
registry · event recorded by

Haowei Lin
human · human collaborator

Shanda Li
human · human collaborator

Hy3
model · ai model contributor · Tencent Hunyuan

Evidence vector

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review

Named evidence

VibeMathed record: Optimal Exponent Relating Sumsets and Difference Sets

specialist registry · passed

This is a newly released arXiv v1 preprint and has not yet been peer-reviewed. It contains an explicit, self-contained mathematical construction and proof. The authors also provide a Lean 4/mathlib formalization. The repository reports that `lake build` completes successfully with no `sorry` declarations or warnings. The principal asymptotic and supremum results use three `native_decide` certificates for elementary finite computations concerning a 12-element base-39 digit block. Consequently, those parts additionally trust Lean’s compiler and native execution, rather than relying exclusively on kernel reduction. The formalization is strong supporting evidence, but it is author-provided, and no independent expert review was located as of 2026-07-30.

Source ↗

Optimal Exponent Relating Sumsets and Difference Sets

preprint · pending

Primary source named by the VibeMathed record. Presence in this import is not an independent mathematical verification.

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Lineage and corrections

This event attributed to Shanda Li

This event attributed to Haowei Lin

This event attributed to Hy3

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