Triple

T9843482
Position Surface form Disambiguated ID Type / Status
Subject Augustin-Louis Cauchy E239282 entity
Predicate notableFor P22 FINISHED
Object Cauchy problem in differential equations E239288 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: Cauchy problem in differential equations | Statement: [Augustin-Louis Cauchy, notableFor, Cauchy problem in differential equations]

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: Cauchy problem in differential equations
Context triple: [Augustin-Louis Cauchy, notableFor, Cauchy problem in differential equations]
  • A. Cauchy problem chosen
    The Cauchy problem is a fundamental type of initial value problem in partial differential equations, where one seeks a solution satisfying prescribed data on a given initial surface.
  • B. Lectures on Cauchy’s problem in linear partial differential equations
    "Lectures on Cauchy’s Problem in Linear Partial Differential Equations" is a classic mathematical treatise by Jacques Hadamard that systematically develops the theory of existence, uniqueness, and well-posedness for solutions to linear partial differential equations.
  • C. Cauchy–Kovalevskaya theorem
    The Cauchy–Kovalevskaya theorem is a fundamental result in partial differential equations that guarantees the existence and uniqueness of analytic solutions to certain initial value problems under appropriate analyticity conditions.
  • D. Ordinary Differential Equations
    Ordinary Differential Equations is a classic mathematical text that systematically develops the theory and methods for solving differential equations involving functions of a single variable, widely used in advanced undergraduate and graduate studies.
  • E. Linear Differential Equations and Their Applications
    "Linear Differential Equations and Their Applications" is a classic mathematical text by Maxime Bôcher that systematically develops the theory of linear differential equations and demonstrates their use in solving applied problems.
  • 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_69ca84e3f0c48190ada72a65ebd50efd elicitation completed
NER batch_69cdb35c8e348190aa090c71bf6f30eb ner completed
NED1 batch_69d1d5dda4b0819092703270e87bee5a ned_source_triple completed
Created at: March 30, 2026, 8:33 p.m.