Source authenticated

Han's Conjecture

The counterexample is an ordinary algebra concentrated in degree zero, with the strongest possible vanishing in positive degrees, so the phenomenon needs no grading or differential. Liu and Shen had already disproved the differential-graded version in December 2025 without any AI involvement; the classical case is the one that fell with a model in the loop.

Exact FrontierDelta

Prior state unknown→disproved

Scope and record

Occurred: Jul 31, 2026

Delta type: SOURCE CLAIM

Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-co-developed. Editorial metadata: CC BY 4.0; linked content retains its own rights.

Canonical aliases: Han's Conjecture

Confidence: Not scored

Registry verification: unreviewed · preprint · resolved

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Attribution

VibeMathed
registry · event recorded by

Bochao Kong
human · human collaborator

Yeqin Liu
human · human collaborator

Yu Shen
human · human collaborator

GPT-5.6 Sol Ultra
model · ai model contributor · OpenAI

Lineage and corrections

This event attributed to Yeqin Liu

This event attributed to Bochao Kong

This event attributed to Yu Shen

This event attributed to GPT-5.6 Sol Ultra

Han's Conjecture evidence for this event

VibeMathed record: Han's Conjecture evidence for this event

Han's Conjecture parent of this event

The counterexample is an ordinary algebra concentrated in degree zero, with the strongest possible vanishing in positive degrees, so the phenomenon needs no grading or differential. Liu and Shen had already disproved the differential-graded version in December 2025 without any AI involvement; the classical case is the one that fell with a model in the loop. parent of this event

Liu and Shen's dg-version counterexample (December 2025, no AI involvement) evidence for this event

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