Source authenticated

Batyrev's Stringy Hodge Number Conjecture

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

Exact FrontierDelta

disproved→disproved

Scope and record

Occurred: Oct 29, 2026

Delta type: REGISTRY REVISION

Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-co-developed. 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: 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

GPT
model · ai model contributor · OpenAI

Matthew Satriano
human · human collaborator

Jeremy Usatine
human · human collaborator

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 A domain-expert preprint, not yet peer-reviewed.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

Corrects Batyrev's Stringy Hodge Number Conjecture →

Supersedes Batyrev's Stringy Hodge Number Conjecture →

This event attributed to Jeremy Usatine

This event attributed to GPT

Batyrev's Stringy Hodge Number Conjecture evidence for this event

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

This event attributed to Matthew Satriano

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

Batyrev's Stringy Hodge Number Conjecture parent of this event

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