Triple

T11398846
Position Surface form Disambiguated ID Type / Status
Subject Pierre Varignon E270051 entity
Predicate notableWork P4 FINISHED
Object Éléments de mathématiques
Éléments de mathématiques is a foundational early 18th-century mathematics textbook by Pierre Varignon that helped systematize and teach the emerging ideas of calculus and mechanics.
 E923659 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: Éléments de mathématiques | Statement: [Pierre Varignon, notableWork, Éléments de mathématiques]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Éléments de mathématiques
Context triple: [Pierre Varignon, notableWork, Éléments de mathématiques]
  • A. Éléments de mathématique
    Éléments de mathématique is an influential, multi-volume treatise that systematically rebuilds modern mathematics from set-theoretic foundations in a highly rigorous and abstract style.
  • B. 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.
  • C. Cours d’analyse de l’École Polytechnique
    Cours d’analyse de l’École Polytechnique is a foundational multi-volume textbook on mathematical analysis by Camille Jordan that significantly influenced the teaching and development of modern analysis in France.
  • D. Éléments de géométrie
    Éléments de géométrie is a foundational 18th-century geometry textbook by Adrien-Marie Legendre that systematized Euclidean geometry and was widely used in mathematical education for decades.
  • E. 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.
  • 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: Éléments de mathématiques
Triple: [Pierre Varignon, notableWork, Éléments de mathématiques]
Generated description
Éléments de mathématiques is a foundational early 18th-century mathematics textbook by Pierre Varignon that helped systematize and teach the emerging ideas of calculus and mechanics.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: Éléments de mathématiques
Target entity description: Éléments de mathématiques is a foundational early 18th-century mathematics textbook by Pierre Varignon that helped systematize and teach the emerging ideas of calculus and mechanics.
  • A. Éléments de mathématique
    Éléments de mathématique is an influential, multi-volume treatise that systematically rebuilds modern mathematics from set-theoretic foundations in a highly rigorous and abstract style.
  • B. 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.
  • C. Cours d’analyse de l’École Polytechnique
    Cours d’analyse de l’École Polytechnique is a foundational multi-volume textbook on mathematical analysis by Camille Jordan that significantly influenced the teaching and development of modern analysis in France.
  • D. Éléments de géométrie
    Éléments de géométrie is a foundational 18th-century geometry textbook by Adrien-Marie Legendre that systematized Euclidean geometry and was widely used in mathematical education for decades.
  • E. 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.
  • 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_69d6aacdbc6c8190af6dc3d5f5d22836 completed April 8, 2026, 7:21 p.m.
NER Named-entity recognition batch_69d8001adc188190ae45227856156412 completed April 9, 2026, 7:38 p.m.
NED1 Entity disambiguation (via context triple) batch_69e58cf75ec08190a571e5178bcde274 completed April 20, 2026, 2:18 a.m.
NEDg Description generation batch_69e59774e6648190a38b2515a83c2e0c completed April 20, 2026, 3:03 a.m.
NED2 Entity disambiguation (via description) batch_69e5a3abf24481908fb71f4ef6b13532 completed April 20, 2026, 3:55 a.m.
Created at: April 8, 2026, 9:34 p.m.