Triple

T11099194
Position Surface form Disambiguated ID Type / Status
Subject Camille Jordan E262458 entity
Predicate notableWork P4 FINISHED
Object Traité des substitutions et des équations algébriques
Traité des substitutions et des équations algébriques is Camille Jordan’s foundational 1870 treatise that systematically developed group theory and the theory of algebraic equations.
E905424 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 substitutions et des équations algébriques | Statement: [Camille Jordan, notableWork, Traité des substitutions et des équations algébriques]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Traité des substitutions et des équations algébriques
Context triple: [Camille Jordan, notableWork, Traité des substitutions et des équations algébriques]
  • A. 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.
  • B. 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.
  • C. 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.
  • D. 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.
  • 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: Traité des substitutions et des équations algébriques
Triple: [Camille Jordan, notableWork, Traité des substitutions et des équations algébriques]
Generated description
Traité des substitutions et des équations algébriques is Camille Jordan’s foundational 1870 treatise that systematically developed group theory and the theory of algebraic equations.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Traité des substitutions et des équations algébriques
Target entity description: Traité des substitutions et des équations algébriques is Camille Jordan’s foundational 1870 treatise that systematically developed group theory and the theory of algebraic equations.
  • A. 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.
  • B. 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.
  • C. 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.
  • D. 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.
  • 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

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_69d6aa9a40d88190a373e2c7e48285db completed April 8, 2026, 7:20 p.m.
NER Named-entity recognition batch_69d79a0c46308190889b94c23ebaca62 completed April 9, 2026, 12:22 p.m.
NED1 Entity disambiguation (via context triple) batch_69e42d69c8b4819092614e83e855430e completed April 19, 2026, 1:18 a.m.
NEDg Description generation batch_69e4307baca48190bbf82f8235d7e2c7 completed April 19, 2026, 1:31 a.m.
NED2 Entity disambiguation (via description) batch_69e4375eaf448190a17f8df1e83145e0 completed April 19, 2026, 2:01 a.m.
Created at: April 8, 2026, 9:27 p.m.