Triple

T9843585
Position Surface form Disambiguated ID Type / Status
Subject Cauchy integral theorem E239284 entity
Predicate standardReference P33736 FINISHED
Object Functions of One Complex Variable by John B. Conway
*Functions of One Complex Variable* by John B. Conway is a widely used graduate-level textbook that provides a rigorous and comprehensive introduction to complex analysis.
E827206 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: Functions of One Complex Variable by John B. Conway | Statement: [Cauchy integral theorem, standardReference, Functions of One Complex Variable by John B. Conway]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Functions of One Complex Variable by John B. Conway
Context triple: [Cauchy integral theorem, standardReference, Functions of One Complex Variable by John B. Conway]
  • A. Schaum's Outline of Complex Variables
    Schaum's Outline of Complex Variables is a widely used study guide that provides concise explanations and numerous solved problems to help students learn and practice complex analysis.
  • B. Complex Analysis
    Complex Analysis is a classic, widely used textbook that provides a rigorous introduction to the theory of functions of a complex variable.
  • C. 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.
  • D. 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.
  • E. Functional Analysis: Introduction to Further Topics in Analysis
    "Functional Analysis: Introduction to Further Topics in Analysis" is an advanced graduate-level textbook by Elias Stein that develops modern functional analysis with applications to areas such as operator theory, harmonic analysis, and partial differential equations.
  • 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: Functions of One Complex Variable by John B. Conway
Triple: [Cauchy integral theorem, standardReference, Functions of One Complex Variable by John B. Conway]
Generated description
*Functions of One Complex Variable* by John B. Conway is a widely used graduate-level textbook that provides a rigorous and comprehensive introduction to complex analysis.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Functions of One Complex Variable by John B. Conway
Target entity description: *Functions of One Complex Variable* by John B. Conway is a widely used graduate-level textbook that provides a rigorous and comprehensive introduction to complex analysis.
  • A. Schaum's Outline of Complex Variables
    Schaum's Outline of Complex Variables is a widely used study guide that provides concise explanations and numerous solved problems to help students learn and practice complex analysis.
  • B. Complex Analysis
    Complex Analysis is a classic, widely used textbook that provides a rigorous introduction to the theory of functions of a complex variable.
  • C. 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.
  • D. 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.
  • E. Functional Analysis: Introduction to Further Topics in Analysis
    "Functional Analysis: Introduction to Further Topics in Analysis" is an advanced graduate-level textbook by Elias Stein that develops modern functional analysis with applications to areas such as operator theory, harmonic analysis, and partial differential equations.
  • 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_69ca84e3f0c48190ada72a65ebd50efd completed March 30, 2026, 2:12 p.m.
NER Named-entity recognition batch_69cdb35c8e348190aa090c71bf6f30eb completed April 2, 2026, 12:07 a.m.
NED1 Entity disambiguation (via context triple) batch_69d1ead49b14819086a9bbd256f298a9 completed April 5, 2026, 4:53 a.m.
NEDg Description generation batch_69d1eb79be388190853e0e7c29287294 completed April 5, 2026, 4:56 a.m.
NED2 Entity disambiguation (via description) batch_69d1ebf0a99081908ae0c4bceadc42bc completed April 5, 2026, 4:58 a.m.
Created at: March 30, 2026, 8:33 p.m.