Triple

T10992076
Position Surface form Disambiguated ID Type / Status
Subject Henri Lebesgue E259774 entity
Predicate notableWork P4 FINISHED
Object “Leçons sur l’intégration et la recherche des fonctions primitives”
“Leçons sur l’intégration et la recherche des fonctions primitives” is a foundational mathematical treatise by Henri Lebesgue that develops his theory of integration and antiderivatives, which underpins modern real analysis.
E898509 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: “Leçons sur l’intégration et la recherche des fonctions primitives” | Statement: [Henri Lebesgue, notableWork, “Leçons sur l’intégration et la recherche des fonctions primitives”]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: “Leçons sur l’intégration et la recherche des fonctions primitives”
Context triple: [Henri Lebesgue, notableWork, “Leçons sur l’intégration et la recherche des fonctions primitives”]
  • A. 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.
  • B. Les Principes du calcul infinitésimal
    Les Principes du calcul infinitésimal is a philosophical and metaphysical critique of modern infinitesimal calculus in which René Guénon examines its foundational concepts from the standpoint of traditional metaphysics.
  • C. 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.
  • D. 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.
  • E. 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.
  • 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: “Leçons sur l’intégration et la recherche des fonctions primitives”
Triple: [Henri Lebesgue, notableWork, “Leçons sur l’intégration et la recherche des fonctions primitives”]
Generated description
“Leçons sur l’intégration et la recherche des fonctions primitives” is a foundational mathematical treatise by Henri Lebesgue that develops his theory of integration and antiderivatives, which underpins modern real analysis.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: “Leçons sur l’intégration et la recherche des fonctions primitives”
Target entity description: “Leçons sur l’intégration et la recherche des fonctions primitives” is a foundational mathematical treatise by Henri Lebesgue that develops his theory of integration and antiderivatives, which underpins modern real analysis.
  • A. 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.
  • B. Les Principes du calcul infinitésimal
    Les Principes du calcul infinitésimal is a philosophical and metaphysical critique of modern infinitesimal calculus in which René Guénon examines its foundational concepts from the standpoint of traditional metaphysics.
  • C. 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.
  • D. 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.
  • E. 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.
  • 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_69d6aa8a6a548190a750f944ccdc8064 completed April 8, 2026, 7:20 p.m.
NER Named-entity recognition batch_69d795d1e918819090c71f5a077fa15a completed April 9, 2026, 12:04 p.m.
NED1 Entity disambiguation (via context triple) batch_69e34504ebec8190a78e4795765b0c24 completed April 18, 2026, 8:47 a.m.
NEDg Description generation batch_69e3556fd3548190a33f04604be947cf completed April 18, 2026, 9:57 a.m.
NED2 Entity disambiguation (via description) batch_69e3593b0f8481909ed7a90f8bb9839d completed April 18, 2026, 10:13 a.m.
Created at: April 8, 2026, 9:24 p.m.