Triple

T21973015
Position Surface form Disambiguated ID Type / Status
Subject Rami Shakarchi E542637 entity
Predicate coauthored P2389 FINISHED
Object Real Analysis: Measure Theory, Integration, and Hilbert Spaces — NE NERFINISHED

How this triple was built (2 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: Real Analysis: Measure Theory, Integration, and Hilbert Spaces | Statement: [Rami Shakarchi, coauthored, Real Analysis: Measure Theory, Integration, and Hilbert Spaces]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Real Analysis: Measure Theory, Integration, and Hilbert Spaces
Context triple: [Rami Shakarchi, coauthored, Real Analysis: Measure Theory, Integration, and Hilbert Spaces]
  • A. Real Analysis: Measure Theory, Integration, and Hilbert Spaces chosen
    Real Analysis: Measure Theory, Integration, and Hilbert Spaces is a graduate-level mathematics textbook by Elias M. Stein and Rami Shakarchi that develops modern measure theory, Lebesgue integration, and the foundations of Hilbert space theory.
  • B. 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.
  • C. 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.
  • D. A Radical Approach to Real Analysis
    A Radical Approach to Real Analysis is a textbook by David Bressoud that presents real analysis through an intuitive, historically informed, and conceptually focused development of the subject.
  • E. Princeton Lectures in Analysis
    Princeton Lectures in Analysis is a renowned multi-volume textbook series in mathematical analysis, authored by Elias M. Stein and Rami Shakarchi and widely used for advanced undergraduate and graduate study.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

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_69e0c48070988190909db97667b9a0ac completed April 16, 2026, 11:14 a.m.
NER Named-entity recognition batch_69f124857dcc8190ab474cd8ab9c130a completed April 28, 2026, 9:20 p.m.
Created at: April 16, 2026, 8:02 p.m.