Triple

T15961457
Position Surface form Disambiguated ID Type / Status
Subject Painlevé–Kruskal theorem E387067 entity
Predicate relatesTo P37 FINISHED
Object Painlevé analysis E1188290 NE FINISHED

How this triple was built (2 steps)

Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.

NER Named-entity recognition gpt-5-mini
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: Painlevé analysis | Statement: [Painlevé–Kruskal theorem, relatesTo, Painlevé analysis]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Painlevé analysis
Context triple: [Painlevé–Kruskal theorem, relatesTo, Painlevé analysis]
  • A. Painlevé test chosen
    The Painlevé test is a mathematical procedure used to determine whether a differential equation has the Painlevé property, indicating its solutions are free of movable critical singularities and often signaling integrability.
  • B. Painlevé transcendents
    Painlevé transcendents are special functions defined as solutions to certain nonlinear second-order differential equations that cannot be expressed in terms of elementary or classical special functions and play a central role in modern mathematical physics and integrable systems.
  • C. Painlevé–Kruskal theorem
    The Painlevé–Kruskal theorem is a result in the theory of nonlinear differential equations that characterizes integrability through the analytic structure of their solutions, particularly via the Painlevé property.
  • D. Square Paul-Painlevé
    Square Paul-Painlevé is a small public garden in Paris’s Latin Quarter, known for its tranquil atmosphere and proximity to major cultural and academic institutions.
  • E. Kadomtsev–Petviashvili equation
    The Kadomtsev–Petviashvili equation is a fundamental nonlinear partial differential equation in mathematical physics that generalizes the Korteweg–De Vries equation to two spatial dimensions to describe the evolution of weakly dispersive, weakly nonlinear waves.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (3 batches)

The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.

Step Stage Batch ID Status When
creating Elicitation batch_69d86da882448190a82ea962fe343b79 completed April 10, 2026, 3:25 a.m.
NER Named-entity recognition batch_69e15700651c819091c1cc4f60894c35 completed April 16, 2026, 9:39 p.m.
NED1 Entity disambiguation (via context triple) batch_69ffcf16b1b881909768d18b889260da completed May 10, 2026, 12:19 a.m.
Created at: April 10, 2026, 4:53 a.m.