Triple

T6606127
Position Surface form Disambiguated ID Type / Status
Subject Maxime Bôcher E149122 entity
Predicate notableWork P4 FINISHED
Object Leçons sur les méthodes de Sturm
Leçons sur les méthodes de Sturm is a mathematical treatise by Maxime Bôcher that systematically develops and explains Sturm's methods in the theory of differential equations and real-rooted polynomials.
E599704 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 les méthodes de Sturm | Statement: [Maxime Bôcher, notableWork, Leçons sur les méthodes de Sturm]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Leçons sur les méthodes de Sturm
Context triple: [Maxime Bôcher, notableWork, Leçons sur les méthodes de Sturm]
  • 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. Essai sur l’étude des fonctions données par leur développement de Taylor
    Essai sur l’étude des fonctions données par leur développement de Taylor is a foundational mathematical treatise by Jacques Hadamard that investigates the behavior and properties of functions defined through their Taylor series expansions.
  • D. Treatise on Demonstration of Problems of Algebra
    Treatise on Demonstration of Problems of Algebra is a seminal mathematical work by Omar Khayyam in which he systematically analyzes and geometrically solves cubic equations.
  • E. Theorie der binären algebraischen Formen
    "Theorie der binären algebraischen Formen" is a foundational 19th-century mathematical treatise by Alfred Clebsch on the theory of binary algebraic forms and invariants.
  • 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 les méthodes de Sturm
Triple: [Maxime Bôcher, notableWork, Leçons sur les méthodes de Sturm]
Generated description
Leçons sur les méthodes de Sturm is a mathematical treatise by Maxime Bôcher that systematically develops and explains Sturm's methods in the theory of differential equations and real-rooted polynomials.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Leçons sur les méthodes de Sturm
Target entity description: Leçons sur les méthodes de Sturm is a mathematical treatise by Maxime Bôcher that systematically develops and explains Sturm's methods in the theory of differential equations and real-rooted polynomials.
  • 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. Essai sur l’étude des fonctions données par leur développement de Taylor
    Essai sur l’étude des fonctions données par leur développement de Taylor is a foundational mathematical treatise by Jacques Hadamard that investigates the behavior and properties of functions defined through their Taylor series expansions.
  • D. Treatise on Demonstration of Problems of Algebra
    Treatise on Demonstration of Problems of Algebra is a seminal mathematical work by Omar Khayyam in which he systematically analyzes and geometrically solves cubic equations.
  • E. Theorie der binären algebraischen Formen
    "Theorie der binären algebraischen Formen" is a foundational 19th-century mathematical treatise by Alfred Clebsch on the theory of binary algebraic forms and invariants.
  • 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_69c687eaa7508190bb58ce2aa02039b3 completed March 27, 2026, 1:36 p.m.
NER Named-entity recognition batch_69c6af143d5c8190b62602602510b1cb completed March 27, 2026, 4:23 p.m.
NED1 Entity disambiguation (via context triple) batch_69c6cbce25b481908d600d38d3c5b871 completed March 27, 2026, 6:26 p.m.
NEDg Description generation batch_69c6cd0a98908190a5725c49bad7589d completed March 27, 2026, 6:31 p.m.
NED2 Entity disambiguation (via description) batch_69c6cdcc10c08190aa98212bd17063a3 completed March 27, 2026, 6:34 p.m.
Created at: March 27, 2026, 1:57 p.m.