Triple

T18282755
Position Surface form Disambiguated ID Type / Status
Subject David Bressoud E437902 entity
Predicate notableWork P4 FINISHED
Object A Radical Approach to Lebesgue’s Theory of Integration — NE NERFINISHED

How this triple was built (3 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: A Radical Approach to Lebesgue’s Theory of Integration | Statement: [David Bressoud, notableWork, A Radical Approach to Lebesgue’s Theory of Integration]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: A Radical Approach to Lebesgue’s Theory of Integration
Context triple: [David Bressoud, notableWork, A Radical Approach to Lebesgue’s Theory of Integration]
  • A. Theory of the Integral
    Theory of the Integral is a classic mathematical monograph that systematically develops the theory of integration, particularly Lebesgue integration, and has been influential in real analysis.
  • B. Singular Integrals and Differentiability Properties of Functions
    "Singular Integrals and Differentiability Properties of Functions" is a landmark mathematical monograph by Elias M. Stein that developed the modern theory of singular integral operators and their role in harmonic analysis and differentiability.
  • C. Harmonic Analysis and the Theory of Probability
    Harmonic Analysis and the Theory of Probability is a seminal mathematical monograph that connects Fourier-analytic methods with probabilistic concepts, helping to lay the foundations of modern probability theory.
  • D. Foundations of Modern Analysis
    Foundations of Modern Analysis is a classic graduate-level textbook that systematically develops modern mathematical analysis using rigorous, abstract methods and functional analysis.
  • E. New classes of Lp-spaces
    "New classes of Lp-spaces" is a mathematical work by Jean Bourgain that introduces and studies novel Banach space structures within the framework of Lp spaces, significantly advancing the theory of functional analysis.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: A Radical Approach to Lebesgue’s Theory of Integration
Target entity description: A Radical Approach to Lebesgue’s Theory of Integration is a mathematics textbook by David Bressoud that offers an intuitive, historically informed introduction to Lebesgue integration and measure theory.
  • A. Theory of the Integral
    Theory of the Integral is a classic mathematical monograph that systematically develops the theory of integration, particularly Lebesgue integration, and has been influential in real analysis.
  • B. Singular Integrals and Differentiability Properties of Functions
    "Singular Integrals and Differentiability Properties of Functions" is a landmark mathematical monograph by Elias M. Stein that developed the modern theory of singular integral operators and their role in harmonic analysis and differentiability.
  • C. Harmonic Analysis and the Theory of Probability
    Harmonic Analysis and the Theory of Probability is a seminal mathematical monograph that connects Fourier-analytic methods with probabilistic concepts, helping to lay the foundations of modern probability theory.
  • D. Foundations of Modern Analysis
    Foundations of Modern Analysis is a classic graduate-level textbook that systematically develops modern mathematical analysis using rigorous, abstract methods and functional analysis.
  • E. New classes of Lp-spaces
    "New classes of Lp-spaces" is a mathematical work by Jean Bourgain that introduces and studies novel Banach space structures within the framework of Lp spaces, significantly advancing the theory of functional analysis.
  • F. None of above. chosen

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_69d8b914530c8190b4474d862a2b2a1b completed April 10, 2026, 8:47 a.m.
NER Named-entity recognition batch_69e50057c5c881909fcda72f4a98c8c3 completed April 19, 2026, 4:18 p.m.
Created at: April 10, 2026, 10:35 a.m.