Triple

T2171681
Position Surface form Disambiguated ID Type / Status
Subject Augustin-Louis Cauchy E48438 entity
Predicate notableWork P4 FINISHED
Object Résumé des leçons sur le calcul infinitésimal
Résumé des leçons sur le calcul infinitésimal is a foundational 1823 treatise by Augustin-Louis Cauchy that rigorously formalized differential and integral calculus using limits.
E239299 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: Résumé des leçons sur le calcul infinitésimal | Statement: [Augustin-Louis Cauchy, notableWork, Résumé des leçons sur le calcul infinitésimal]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Résumé des leçons sur le calcul infinitésimal
Context triple: [Augustin-Louis Cauchy, notableWork, Résumé des leçons sur le calcul infinitésimal]
  • 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. Réflexions sur la métaphysique du calcul infinitésimal
    Réflexions sur la métaphysique du calcul infinitésimal is a foundational 18th-century treatise by Lazare Carnot that examines the philosophical and logical underpinnings of infinitesimal calculus.
  • C. A Course of Pure Mathematics
    A Course of Pure Mathematics is a classic early 20th-century textbook that rigorously introduces the foundations of mathematical analysis and helped shape modern university-level mathematics education.
  • D. 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.
  • E. 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.
  • 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: Résumé des leçons sur le calcul infinitésimal
Triple: [Augustin-Louis Cauchy, notableWork, Résumé des leçons sur le calcul infinitésimal]
Generated description
Résumé des leçons sur le calcul infinitésimal is a foundational 1823 treatise by Augustin-Louis Cauchy that rigorously formalized differential and integral calculus using limits.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Résumé des leçons sur le calcul infinitésimal
Target entity description: Résumé des leçons sur le calcul infinitésimal is a foundational 1823 treatise by Augustin-Louis Cauchy that rigorously formalized differential and integral calculus using limits.
  • A. Cours d’Analyse chosen
    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. Réflexions sur la métaphysique du calcul infinitésimal
    Réflexions sur la métaphysique du calcul infinitésimal is a foundational 18th-century treatise by Lazare Carnot that examines the philosophical and logical underpinnings of infinitesimal calculus.
  • C. A Course of Pure Mathematics
    A Course of Pure Mathematics is a classic early 20th-century textbook that rigorously introduces the foundations of mathematical analysis and helped shape modern university-level mathematics education.
  • D. 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.
  • E. 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.
  • F. None of above.

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_69a88aa3faa48190995b233af6525815 completed March 4, 2026, 7:40 p.m.
NER Named-entity recognition batch_69abbec7f9088190b32127421e340788 completed March 7, 2026, 5:59 a.m.
NED1 Entity disambiguation (via context triple) batch_69ae5d9a74e081909d8945fe03c8d0fa completed March 9, 2026, 5:41 a.m.
NEDg Description generation batch_69ae5e30a69c8190a3f77e784401f671 completed March 9, 2026, 5:44 a.m.
NED2 Entity disambiguation (via description) batch_69ae5ea4edcc81908829e4bd64ce0aea completed March 9, 2026, 5:46 a.m.
Created at: March 4, 2026, 7:45 p.m.