Triple
T7861121
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Adrien-Marie Legendre |
E182500
|
entity |
| Predicate | notableWork |
P4
|
FINISHED |
| Object |
Traité des fonctions elliptiques et des intégrales eulériennes
Traité des fonctions elliptiques et des intégrales eulériennes is a foundational 19th-century mathematical treatise by Adrien-Marie Legendre that systematically develops the theory of elliptic functions and Eulerian integrals.
|
E695817
|
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: Traité des fonctions elliptiques et des intégrales eulériennes | Statement: [Adrien-Marie Legendre, notableWork, Traité des fonctions elliptiques et des intégrales eulériennes]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Traité des fonctions elliptiques et des intégrales eulériennes Context triple: [Adrien-Marie Legendre, notableWork, Traité des fonctions elliptiques et des intégrales eulériennes]
-
A.
Recherches sur les fonctions elliptiques
Recherches sur les fonctions elliptiques is a foundational mathematical treatise by Niels Henrik Abel that significantly advanced the theory of elliptic functions and laid groundwork for modern complex analysis.
-
B.
Mémoire sur une propriété générale d’une classe très étendue de fonctions transcendantes
Mémoire sur une propriété générale d’une classe très étendue de fonctions transcendantes is a seminal mathematical paper by Niels Henrik Abel that develops fundamental results on transcendental functions and helped lay groundwork for modern analysis.
-
C.
Théorie des fonctions analytiques
Théorie des fonctions analytiques is a foundational mathematical treatise by Joseph-Louis Lagrange that systematically develops calculus using power series and analytic functions instead of geometric or infinitesimal arguments.
-
D.
Cours d’Analyse
Cours d’Analyse is a foundational 19th-century mathematics textbook by Augustin-Louis Cauchy that rigorously developed the theory of functions, limits, and continuity, helping to formalize modern analysis.
-
E.
Le calcul des résidus et ses applications à la théorie des fonctions
*Le calcul des résidus et ses applications à la théorie des fonctions* is a mathematical treatise on the theory of residues in complex analysis and its applications to the study of analytic 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: Traité des fonctions elliptiques et des intégrales eulériennes Triple: [Adrien-Marie Legendre, notableWork, Traité des fonctions elliptiques et des intégrales eulériennes]
Generated description
Traité des fonctions elliptiques et des intégrales eulériennes is a foundational 19th-century mathematical treatise by Adrien-Marie Legendre that systematically develops the theory of elliptic functions and Eulerian integrals.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Traité des fonctions elliptiques et des intégrales eulériennes Target entity description: Traité des fonctions elliptiques et des intégrales eulériennes is a foundational 19th-century mathematical treatise by Adrien-Marie Legendre that systematically develops the theory of elliptic functions and Eulerian integrals.
-
A.
Recherches sur les fonctions elliptiques
Recherches sur les fonctions elliptiques is a foundational mathematical treatise by Niels Henrik Abel that significantly advanced the theory of elliptic functions and laid groundwork for modern complex analysis.
-
B.
Mémoire sur une propriété générale d’une classe très étendue de fonctions transcendantes
Mémoire sur une propriété générale d’une classe très étendue de fonctions transcendantes is a seminal mathematical paper by Niels Henrik Abel that develops fundamental results on transcendental functions and helped lay groundwork for modern analysis.
-
C.
Théorie des fonctions analytiques
Théorie des fonctions analytiques is a foundational mathematical treatise by Joseph-Louis Lagrange that systematically develops calculus using power series and analytic functions instead of geometric or infinitesimal arguments.
-
D.
Cours d’Analyse
Cours d’Analyse is a foundational 19th-century mathematics textbook by Augustin-Louis Cauchy that rigorously developed the theory of functions, limits, and continuity, helping to formalize modern analysis.
-
E.
Le calcul des résidus et ses applications à la théorie des fonctions
*Le calcul des résidus et ses applications à la théorie des fonctions* is a mathematical treatise on the theory of residues in complex analysis and its applications to the study of analytic 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_69ca82887fd48190975896bf38c4596b |
completed | March 30, 2026, 2:02 p.m. |
| NER | Named-entity recognition | batch_69cb36bcb5cc8190a8a384ce0f020b9f |
completed | March 31, 2026, 2:51 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69cb5b4138d081908a5ff16b79f0a0c8 |
completed | March 31, 2026, 5:27 a.m. |
| NEDg | Description generation | batch_69cb5f1c9ef08190b1b79482f39966c7 |
completed | March 31, 2026, 5:43 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69cb767b198481909cfc1f7a44e6f0d8 |
completed | March 31, 2026, 7:23 a.m. |
Created at: March 30, 2026, 4:53 p.m.