Triple

T14337273
Position Surface form Disambiguated ID Type / Status
Subject Kunihiko Kodaira E355495 entity
Predicate publication P80 FINISHED
Object 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.
E1093022 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: Harmonic Integrals in the Theory of Analytic Functions | Statement: [Kunihiko Kodaira, publication, Harmonic Integrals in the Theory of Analytic Functions]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Harmonic Integrals in the Theory of Analytic Functions
Context triple: [Kunihiko Kodaira, publication, Harmonic Integrals in the Theory of Analytic Functions]
  • A. 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.
  • B. Bochner–Martinelli formula
    The Bochner–Martinelli formula is a fundamental integral representation in several complex variables that generalizes the Cauchy integral formula to higher dimensions.
  • C. Le calcul des résidus et ses applications à la théorie des fonctions
    *Le calcul des résidus et ses applications à la théorie des fonctions* is a mathematical treatise on the theory of residues in complex analysis and its applications to the study of analytic functions.
  • D. Teoria delle funzioni potenziali
    Teoria delle funzioni potenziali is a foundational mathematical work by Enrico Betti that develops the theory of potential functions, contributing significantly to mathematical physics and analysis.
  • E. Problems and Theorems in Analysis (with George Pólya)
    "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.
  • 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: Harmonic Integrals in the Theory of Analytic Functions
Triple: [Kunihiko Kodaira, publication, Harmonic Integrals in the Theory of Analytic Functions]
Generated description
"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.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Harmonic Integrals in the Theory of Analytic Functions
Target entity description: "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.
  • A. 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.
  • B. Bochner–Martinelli formula
    The Bochner–Martinelli formula is a fundamental integral representation in several complex variables that generalizes the Cauchy integral formula to higher dimensions.
  • C. Le calcul des résidus et ses applications à la théorie des fonctions
    *Le calcul des résidus et ses applications à la théorie des fonctions* is a mathematical treatise on the theory of residues in complex analysis and its applications to the study of analytic functions.
  • D. Teoria delle funzioni potenziali
    Teoria delle funzioni potenziali is a foundational mathematical work by Enrico Betti that develops the theory of potential functions, contributing significantly to mathematical physics and analysis.
  • E. Problems and Theorems in Analysis (with George Pólya)
    "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.
  • 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_69d8278fa2108190bc0d0e7939c1eb03 completed April 9, 2026, 10:26 p.m.
NER Named-entity recognition batch_69de8c2241e48190a0c626b3d741966a completed April 14, 2026, 6:49 p.m.
NED1 Entity disambiguation (via context triple) batch_69fd46986758819088750150ad47bae1 completed May 8, 2026, 2:12 a.m.
NEDg Description generation batch_69fd47a9b5008190a15de0f427771505 completed May 8, 2026, 2:17 a.m.
NED2 Entity disambiguation (via description) batch_69fd4828f44c81908903d1391c83cc60 completed May 8, 2026, 2:19 a.m.
Created at: April 10, 2026, 1:14 a.m.