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Ghasemi-Kopparty Problem on Sparse $S$-Decoding Polynomials

the PIR consequence is conditional on a number-theoretic conjecture implied by either the generalized repunit conjecture or Schinzel's hypothesis H, and is unconditional for s <= 15

Exact FrontierDelta

Prior state unknownproved

Scope and record

Occurred: Jul 24, 2026

Delta type: SOURCE CLAIM

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

Canonical aliases: Ghasemi-Kopparty Problem on Sparse $S$-Decoding Polynomials · Sparse S-decoding polynomials

Confidence: Not scored

Registry verification: unreviewed · preprint · resolved

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Attribution

VibeMathed
registry · event recorded by

Aparna Gupte
human · human collaborator

Seyoon Ragavan
human · human collaborator

GPT-5.5 Pro
model · ai model contributor · OpenAI

Lineage and corrections

This event attributed to Seyoon Ragavan

This event attributed to Aparna Gupte

This event attributed to GPT-5.5 Pro

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Ghasemi-Kopparty Problem on Sparse $S$-Decoding Polynomials — Mathematical Frontier Network