Triple

T7978920
Position Surface form Disambiguated ID Type / Status
Subject Carl Gustav Jacob Jacobi E185515 entity
Predicate notableWork P4 FINISHED
Object Jacobi's elliptic functions treatise E182748 NE FINISHED

How this triple was built (2 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: Jacobi's elliptic functions treatise | Statement: [Carl Gustav Jacob Jacobi, notableWork, Jacobi's elliptic functions treatise]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Jacobi's elliptic functions treatise
Context triple: [Carl Gustav Jacob Jacobi, notableWork, Jacobi's elliptic functions treatise]
  • A. Jacobi elliptic functions chosen
    Jacobi elliptic functions are a family of doubly periodic complex functions that generalize trigonometric functions and play a central role in the theory of elliptic integrals and many areas of mathematical physics.
  • B. Weierstrass elliptic functions
    Weierstrass elliptic functions are a class of doubly periodic meromorphic functions that play a central role in the theory of elliptic curves and complex analysis.
  • 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. 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. Jacobi's inversion problem
    Jacobi's inversion problem is a fundamental question in algebraic geometry and the theory of Abelian functions, concerning the inversion of Abelian integrals and the characterization of their multi-valued inverses.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (3 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_69ca829851908190b4e03829353ee7c3 completed March 30, 2026, 2:03 p.m.
NER Named-entity recognition batch_69cb3bf84b1081908e60a556d984aad6 completed March 31, 2026, 3:14 a.m.
NED1 Entity disambiguation (via context triple) batch_69cc63b72c508190b0ad8acf975c1527 completed April 1, 2026, 12:15 a.m.
Created at: March 30, 2026, 5:14 p.m.