Source authenticated

Optimal Exponent Relating Sumsets and Difference Sets

New arXiv preprint with an author-provided Lean formalization; not yet peer-reviewed.

Exact FrontierDelta

proved→proved

Scope and record

Occurred: Oct 29, 2026

Delta type: REGISTRY REVISION

Assumptions: VibeMathed verification: lean-verified. Publication: preprint. AI contribution: ai-discovered. VibeMathed editorial classifications, scores, notes, relations, and dataset structure are CC BY 4.0. Source statements and linked content retain their 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

Shanda Li
human · human collaborator

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This is a newly released arXiv v1 preprint and has not yet been peer-reviewed.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

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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

Corrects Optimal Exponent Relating Sumsets and Difference Sets →

Supersedes Optimal Exponent Relating Sumsets and Difference Sets →

New arXiv preprint with an author-provided Lean formalization; not yet peer-reviewed.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

This event attributed to Shanda Li

Optimal Exponent Relating Sumsets and Difference Sets parent of this event

This event attributed to Haowei Lin

Optimal Exponent Relating Sumsets and Difference Sets evidence for this event

This event attributed to Hy3

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

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