Triple

T13647246
Position Surface form Disambiguated ID Type / Status
Subject Dmitri Egorov E326134 entity
Predicate hasTheoremNamedAfter P29208 FINISHED
Object Egorov's theorem E1053777 NE FINISHED

Named-entity recognition

Before disambiguation, gpt-5-mini classified whether the object phrase is a named entity — the step behind the object's NE 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: Egorov's theorem | Statement: [Dmitri Egorov, hasTheoremNamedAfter, Egorov's theorem]

Disambiguation candidates (1 decision)

The exact options the model was shown at each disambiguation step, with the option it chose highlighted — the evidence behind this triple's disambiguated ids.

NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Egorov's theorem
Context triple: [Dmitri Egorov, hasTheoremNamedAfter, Egorov's theorem]
  • A. Egorov's theorem chosen
    Egorov's theorem is a result in measure theory that states almost everywhere pointwise convergence of a sequence of measurable functions on a finite measure space can be made uniform on a subset of arbitrarily large measure.
  • B. Vitali convergence theorem
    The Vitali convergence theorem is a result in measure theory that gives conditions under which pointwise convergence of a sequence of integrable functions implies convergence of their integrals, strengthening the dominated convergence theorem via uniform integrability.
  • C. Arzelà–Ascoli theorem
    The Arzelà–Ascoli theorem is a fundamental result in analysis that characterizes the relative compactness of families of functions via uniform boundedness and equicontinuity.
  • D. Stone–Weierstrass theorem
    The Stone–Weierstrass theorem is a fundamental result in functional analysis that characterizes when a subalgebra of continuous functions on a compact space is dense, thereby generalizing classical polynomial approximation results.
  • E. Nikodym convergence theorem
    The Nikodym convergence theorem is a fundamental result in measure theory that generalizes the Lebesgue dominated convergence theorem by characterizing when convergence of integrals holds under weaker conditions on the dominating measures.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (3 batches)

Stage Batch ID Job type Status
creating batch_69d8076beddc8190a53156f5bea77f5e elicitation completed
NER batch_69dbc6073e888190965456a639839749 ner completed
NED1 batch_69f7943610488190838719ad31207c52 ned_source_triple completed
Created at: April 9, 2026, 9:52 p.m.