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New arXiv preprint with an author-provided Lean formalization; not yet peer-reviewed.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. Editorial metadata: CC BY 4.0; linked content retains its own rights.

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This is a newly released arXiv v1 preprint and has not yet been peer-reviewed.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 Haowei Lin

This event attributed to Shanda Li

This event attributed to Hy3

Optimal Exponent Relating Sumsets and Difference Sets parent of this event

New arXiv preprint with an author-provided Lean formalization; not yet peer-reviewed.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

Optimal Exponent Relating Sumsets and Difference Sets evidence for this event

VibeMathed record: Optimal Exponent Relating Sumsets and Difference Sets evidence for this event

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