Source authenticated

Batyrev's Stringy Hodge Number Conjecture

VibeMathed recorded: Batyrev's Stringy Hodge Number Conjecture. Consult the linked registry entry for the original report and scope.

Exact FrontierDelta

Prior state unknown→disproved

Scope and record

Occurred: Jul 21, 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: Batyrev's Stringy Hodge Number Conjecture · Batyrev's Conjecture

Confidence: Not scored

Registry verification: unreviewed · preprint · resolved

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Attribution

VibeMathed
registry · event recorded by

Matthew Satriano
human · human collaborator

Jeremy Usatine
human · human collaborator

GPT
model · ai model contributor · OpenAI

Evidence vector

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review

Named evidence

VibeMathed record: Batyrev's Stringy Hodge Number Conjecture

specialist registry · passed

arXiv preprint 2607.19184 (21 Jul 2026) by Matthew Satriano and Jeremy Usatine. The proof is short and fully explicit: the stringy $E$ -function is written out and its $u^2 v^5$ coefficient gives $h^{2,5}_{\mathrm{st}} = -1$ , so it is hand-verifiable. A domain-expert preprint, not yet peer-reviewed. Distinct from the unrelated Batyrev-Manin conjecture on rational points.

Source ↗

Batyrev's Stringy Hodge Number Conjecture

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 Matthew Satriano

This event attributed to Jeremy Usatine

This event attributed to GPT

Batyrev's Stringy Hodge Number Conjecture parent of this event

VibeMathed record: Batyrev's Stringy Hodge Number Conjecture evidence for this event

Batyrev's Stringy Hodge Number Conjecture evidence for this event

Registry resolution: resolved. Reported result type: disproved. The registry record and named primary source provide the statement and scope. parent of this event

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