Triple

T6716291
Position Surface form Disambiguated ID Type / Status
Subject Salomon Bochner E153275 entity
Predicate notableWork P4 FINISHED
Object Several Complex Variables
"Several Complex Variables" is a foundational mathematical text that systematically develops the theory of functions of several complex variables and has significantly influenced modern complex analysis.
 E613412 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: Several Complex Variables | Statement: [Salomon Bochner, notableWork, Several Complex Variables]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Several Complex Variables
Context triple: [Salomon Bochner, notableWork, Several Complex Variables]
  • A. Fefferman metric in several complex variables
    The Fefferman metric in several complex variables is a canonical Lorentz–Kähler-type metric associated with strictly pseudoconvex domains, fundamental in the study of CR geometry and the boundary behavior of holomorphic functions.
  • B. Differential Analysis on Complex Manifolds
    "Differential Analysis on Complex Manifolds" is a foundational mathematical monograph that systematically develops the theory of differential and complex geometry on complex manifolds.
  • C. Complex Analysis
    Complex Analysis is a classic, widely used textbook that provides a rigorous introduction to the theory of functions of a complex variable.
  • D. Lempert function on convex domains
    The Lempert function on convex domains is a complex-analytic invariant that coincides with the Kobayashi distance and provides an extremal characterization of holomorphic mappings between convex domains in several complex variables.
  • E. Riemann surfaces
    Riemann surfaces are one-dimensional complex manifolds that provide the natural geometric setting for studying complex analytic functions and their multi-valued behavior.
  • 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: Several Complex Variables
Triple: [Salomon Bochner, notableWork, Several Complex Variables]
Generated description
"Several Complex Variables" is a foundational mathematical text that systematically develops the theory of functions of several complex variables and has significantly influenced modern complex analysis.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: Several Complex Variables
Target entity description: "Several Complex Variables" is a foundational mathematical text that systematically develops the theory of functions of several complex variables and has significantly influenced modern complex analysis.
  • A. Fefferman metric in several complex variables
    The Fefferman metric in several complex variables is a canonical Lorentz–Kähler-type metric associated with strictly pseudoconvex domains, fundamental in the study of CR geometry and the boundary behavior of holomorphic functions.
  • B. Differential Analysis on Complex Manifolds
    "Differential Analysis on Complex Manifolds" is a foundational mathematical monograph that systematically develops the theory of differential and complex geometry on complex manifolds.
  • C. Complex Analysis
    Complex Analysis is a classic, widely used textbook that provides a rigorous introduction to the theory of functions of a complex variable.
  • D. Lempert function on convex domains
    The Lempert function on convex domains is a complex-analytic invariant that coincides with the Kobayashi distance and provides an extremal characterization of holomorphic mappings between convex domains in several complex variables.
  • E. Riemann surfaces
    Riemann surfaces are one-dimensional complex manifolds that provide the natural geometric setting for studying complex analytic functions and their multi-valued behavior.
  • 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_69c68809b4608190a2509ddb5ab87f05 completed March 27, 2026, 1:37 p.m.
NER Named-entity recognition batch_69c6d125db3c8190aad28919226a16da completed March 27, 2026, 6:49 p.m.
NED1 Entity disambiguation (via context triple) batch_69c700993128819081614ccfa68d7320 completed March 27, 2026, 10:11 p.m.
NEDg Description generation batch_69c70262f3e48190b544be536ee0b674 completed March 27, 2026, 10:19 p.m.
NED2 Entity disambiguation (via description) batch_69c70311418c8190a902cf21187fdc51 completed March 27, 2026, 10:22 p.m.
Created at: March 27, 2026, 2:07 p.m.