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.