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.