Source authenticated

Erdős Problem #707: Sidon Sets and Perfect Difference Sets

Hall's 1947 counterexample predates the problem itself; this paper's counterexample is independent, smaller, and Lean-certified.

Exact FrontierDelta

disproved→disproved

Scope and record

Occurred: Oct 29, 2026

Delta type: REGISTRY REVISION

Assumptions: VibeMathed verification: lean-verified. Publication: preprint. AI contribution: ai-assisted. 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: Erdős Problem #707: Sidon Sets and Perfect Difference Sets · Erdős #707 (1000-dollar prize) · Problem 707

Confidence: Not scored

Registry verification: lean verified · preprint · resolved

Open the source record ↗

Attribution

VibeMathed
registry · event recorded by

ChatGPT (GPT-5)
model · ai model contributor · OpenAI

Boris Alexeev
human · human collaborator

Dustin G. Mixon
human · human collaborator

Lineage and corrections

Corrects Erdős Problem #707: Sidon Sets and Perfect Difference Sets →

Supersedes Erdős Problem #707: Sidon Sets and Perfect Difference Sets →

This event attributed to Boris Alexeev

VibeMathed record: Erdős Problem #707: Sidon Sets and Perfect Difference Sets evidence for this event

This event attributed to ChatGPT (GPT-5)

Erdős Problem #707: Sidon Sets and Perfect Difference Sets parent of this event

Hall's 1947 counterexample predates the problem itself; this paper's counterexample is independent, smaller, and Lean-certified. parent of this event

This event attributed to Dustin G. Mixon

Erdős Problem #707: Sidon Sets and Perfect Difference Sets evidence for this event

Act on this frontier

Verify, challenge, or extend the result.