Completeness of Fixed-Order Atom-Centered Descriptors

The key ingredients were already in the literature, decades old and in distant fields; what was missing was anyone connecting them to this question.

Exact FrontierDelta

Prior state unknown→disproved

Scope and record

Occurred: Jul 29, 2026

Delta type: SOURCE CLAIM

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

Canonical aliases: Completeness of Fixed-Order Atom-Centered Descriptors · Fixed-order descriptor completeness

Confidence: Not scored

Registry verification: unreviewed · preprint · resolved

Open the source record ↗

Attribution

VibeMathed
registry · event recorded by

Michelangelo Domina
human · human collaborator

Michele Ceriotti
human · human collaborator

Claude Opus 4.8
model · ai model contributor

Fable
model · ai model contributor

Codex 5.5
model · ai model contributor

Sol 5.6
model · ai model contributor

Evidence vector

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review

Named evidence

VibeMathed record: Completeness of Fixed-Order Atom-Centered Descriptors

specialist registry · passed

arXiv preprint, not peer-reviewed. The validation scripts and input structures are promised only on publication, so the constructions cannot yet be re-run from the public record; the authors state they checked them by hand and with model-generated code. The counterexamples are explicit point configurations, so they are checkable once released.

Source ↗

Completeness of Fixed-Order Atom-Centered Descriptors

preprint · pending

Primary source named by the VibeMathed record. Presence in this import is not an independent mathematical verification.

Source ↗

Pozdnyakov et al., the 2020 paper that posed it

paper · pending

paper link supplied by the VibeMathed registry.

Source ↗

Lineage and corrections

This event attributed to Michelangelo Domina

This event attributed to Michele Ceriotti