Triple

T10216088
Position Surface form Disambiguated ID Type / Status
Subject Arnaud Denjoy E242444 entity
Predicate familyName P18 FINISHED
Object Denjoy
Denjoy is a French surname most notably associated with mathematician Arnaud Denjoy, known for his contributions to real analysis and the theory of integration.
E850674 NE FINISHED

How this triple was built (4 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: Denjoy | Statement: [Arnaud Denjoy, familyName, Denjoy]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Denjoy
Context triple: [Arnaud Denjoy, familyName, Denjoy]
  • A. Smale horseshoe
    The Smale horseshoe is a fundamental example in dynamical systems theory that illustrates chaotic behavior through a specific stretching-and-folding map of a square into a horseshoe-shaped region.
  • B. Poincaré–Birkhoff fixed-point theorem
    The Poincaré–Birkhoff fixed-point theorem is a fundamental result in dynamical systems and topology that guarantees the existence of at least two fixed points for certain area-preserving twist maps of an annulus.
  • C. Du Bois-Reymond function
    The Du Bois-Reymond function is a classic example of a continuous but nowhere differentiable function, illustrating pathological behavior in real analysis.
  • D. Khinchin
    Khinchin is a Russian surname most notably associated with Aleksandr Khinchin, a prominent mathematician known for his contributions to probability theory and number theory.
  • E. Weierstrass function
    The Weierstrass function is a classic example in mathematical analysis of a continuous function that is nowhere differentiable, illustrating the counterintuitive behavior possible in real-valued functions.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Denjoy
Triple: [Arnaud Denjoy, familyName, Denjoy]
Generated description
Denjoy is a French surname most notably associated with mathematician Arnaud Denjoy, known for his contributions to real analysis and the theory of integration.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Denjoy
Target entity description: Denjoy is a French surname most notably associated with mathematician Arnaud Denjoy, known for his contributions to real analysis and the theory of integration.
  • A. Smale horseshoe
    The Smale horseshoe is a fundamental example in dynamical systems theory that illustrates chaotic behavior through a specific stretching-and-folding map of a square into a horseshoe-shaped region.
  • B. Poincaré–Birkhoff fixed-point theorem
    The Poincaré–Birkhoff fixed-point theorem is a fundamental result in dynamical systems and topology that guarantees the existence of at least two fixed points for certain area-preserving twist maps of an annulus.
  • C. Du Bois-Reymond function
    The Du Bois-Reymond function is a classic example of a continuous but nowhere differentiable function, illustrating pathological behavior in real analysis.
  • D. Khinchin
    Khinchin is a Russian surname most notably associated with Aleksandr Khinchin, a prominent mathematician known for his contributions to probability theory and number theory.
  • E. Weierstrass function
    The Weierstrass function is a classic example in mathematical analysis of a continuous function that is nowhere differentiable, illustrating the counterintuitive behavior possible in real-valued functions.
  • F. None of above. chosen

Provenance (5 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_69d381ae26c48190985abd0e25ee5d04 completed April 6, 2026, 9:49 a.m.
NER Named-entity recognition batch_69d3aa2894d0819095704449ecc2db6c completed April 6, 2026, 12:42 p.m.
NED1 Entity disambiguation (via context triple) batch_69d6a804e8748190b4ebcfa9a0bb889f completed April 8, 2026, 7:09 p.m.
NEDg Description generation batch_69d6d0003434819093e3f82a556db79c completed April 8, 2026, 10 p.m.
NED2 Entity disambiguation (via description) batch_69d6df3c8f748190923db41ef1a9a03a completed April 8, 2026, 11:05 p.m.
Created at: April 6, 2026, 11:05 a.m.