Triple

T16991542
Position Surface form Disambiguated ID Type / Status
Subject Henry Frederick Baker E412204 entity
Predicate notableWork P4 FINISHED
Object Baker’s theory of Abelian functions
Baker’s theory of Abelian functions is a foundational mathematical work that systematically develops the theory of Abelian functions and their applications in complex analysis and algebraic geometry.
E1244430 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: Baker’s theory of Abelian functions | Statement: [Henry Frederick Baker, notableWork, Baker’s theory of Abelian functions]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Baker’s theory of Abelian functions
Context triple: [Henry Frederick Baker, notableWork, Baker’s theory of Abelian functions]
  • A. 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.
  • B. Introduction to the Theory of Algebraic Functions of One Variable
    Introduction to the Theory of Algebraic Functions of One Variable is a classic monograph by Claude Chevalley that provides a rigorous, modern foundation for the theory of algebraic function fields in one variable.
  • C. 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.
  • D. Jacobian varieties
    Jacobian varieties are complex algebraic varieties associated to algebraic curves that parametrize degree-zero line bundles (or divisor classes) on the curve and carry a natural structure of principally polarized abelian varieties.
  • E. Theorie der algebraischen Kurven
    "Theorie der algebraischen Kurven" is a foundational 19th-century mathematical treatise by Julius Plücker that systematically develops the geometry and classification of algebraic curves.
  • 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: Baker’s theory of Abelian functions
Triple: [Henry Frederick Baker, notableWork, Baker’s theory of Abelian functions]
Generated description
Baker’s theory of Abelian functions is a foundational mathematical work that systematically develops the theory of Abelian functions and their applications in complex analysis and algebraic geometry.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Baker’s theory of Abelian functions
Target entity description: Baker’s theory of Abelian functions is a foundational mathematical work that systematically develops the theory of Abelian functions and their applications in complex analysis and algebraic geometry.
  • A. 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.
  • B. Introduction to the Theory of Algebraic Functions of One Variable
    Introduction to the Theory of Algebraic Functions of One Variable is a classic monograph by Claude Chevalley that provides a rigorous, modern foundation for the theory of algebraic function fields in one variable.
  • C. 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.
  • D. Jacobian varieties
    Jacobian varieties are complex algebraic varieties associated to algebraic curves that parametrize degree-zero line bundles (or divisor classes) on the curve and carry a natural structure of principally polarized abelian varieties.
  • E. Theorie der algebraischen Kurven
    "Theorie der algebraischen Kurven" is a foundational 19th-century mathematical treatise by Julius Plücker that systematically develops the geometry and classification of algebraic curves.
  • 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_69d886cb581c8190ab05f4b429c9cd85 completed April 10, 2026, 5:12 a.m.
NER Named-entity recognition batch_69e3d280e3348190a27bd5dc7cf87c0e completed April 18, 2026, 6:50 p.m.
NED1 Entity disambiguation (via context triple) batch_6a00dc14d5688190945f7ae72f724922 completed May 10, 2026, 7:27 p.m.
NEDg Description generation batch_6a0114d5aeb0819086f1a5d279ac0d0f completed May 10, 2026, 11:29 p.m.
NED2 Entity disambiguation (via description) batch_6a0115c583608190bf07ac205399f253 completed May 10, 2026, 11:33 p.m.
Created at: April 10, 2026, 5:32 a.m.