Triple

T18480444
Position Surface form Disambiguated ID Type / Status
Subject Problems and Theorems in Analysis (with George Pólya) E451541 entity
Predicate hasPart P35 FINISHED
Object Problems and Theorems in Analysis II: Theory of Functions, Zeros, Polynomials, Determinants, Number Theory — NE NERFINISHED

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: Problems and Theorems in Analysis II: Theory of Functions, Zeros, Polynomials, Determinants, Number Theory | Statement: [Problems and Theorems in Analysis (with George Pólya), hasPart, Problems and Theorems in Analysis II: Theory of Functions, Zeros, Polynomials, Determinants, Number Theory]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Problems and Theorems in Analysis II: Theory of Functions, Zeros, Polynomials, Determinants, Number Theory
Context triple: [Problems and Theorems in Analysis (with George Pólya), hasPart, Problems and Theorems in Analysis II: Theory of Functions, Zeros, Polynomials, Determinants, Number Theory]
  • A. Problems and Theorems in Analysis (with George Pólya) chosen
    "Problems and Theorems in Analysis (with George Pólya)" is a classic two-volume collection of challenging problems and results in mathematical analysis that has become a standard reference and training resource for advanced students and researchers.
  • B. 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.
  • C. Harmonic Integrals in the Theory of Analytic Functions
    "Harmonic Integrals in the Theory of Analytic Functions" is a foundational mathematical work by Kunihiko Kodaira that develops the theory of harmonic integrals and lays groundwork for modern complex analysis and complex geometry.
  • D. Elementary Theory of Numbers
    Elementary Theory of Numbers is a classic introductory textbook on number theory by Wacław Sierpiński, covering fundamental properties of integers and related topics in a rigorous yet accessible manner.
  • E. Trigonometric Series, Vol. II
    "Trigonometric Series, Vol. II" is a classic advanced mathematics text by Antoni Zygmund that develops the modern theory of trigonometric series and Fourier analysis.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (2 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_69d8d38465a0819099b9b42d2a662ac1 completed April 10, 2026, 10:40 a.m.
NER Named-entity recognition batch_69e53066a7108190a50eda9b489c90ca completed April 19, 2026, 7:43 p.m.
Created at: April 10, 2026, 11:35 a.m.