Triple

T9844182
Position Surface form Disambiguated ID Type / Status
Subject Cauchy interlacing theorem E239297 entity
Predicate usedToProve P21917 FINISHED
Object eigenvalue bounds for Laplacian matrices of graphs LITERAL FINISHED

Named-entity recognition

Before disambiguation, gpt-5-mini classified whether the object phrase is a named entity — the step behind the object's LITERAL type shown above.

Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: eigenvalue bounds for Laplacian matrices of graphs | Statement: [Cauchy interlacing theorem, usedToProve, eigenvalue bounds for Laplacian matrices of graphs]

Provenance (2 batches)

Stage Batch ID Job type Status
creating batch_69ca84e3f0c48190ada72a65ebd50efd elicitation completed
NER batch_69cdb35dc29c819080203be5b904dc9d ner completed
Created at: March 30, 2026, 8:33 p.m.