Triple

T21972970
Position Surface form Disambiguated ID Type / Status
Subject Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals E542636 entity
Predicate series P1761 FINISHED
Object Princeton Mathematical Series — 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: Princeton Mathematical Series | Statement: [Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals, series, Princeton Mathematical Series]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Princeton Mathematical Series
Context triple: [Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals, series, Princeton Mathematical Series]
  • A. Princeton Mathematical Series chosen
    Princeton Mathematical Series is a renowned collection of advanced mathematics books published by Princeton University Press, featuring influential works by leading mathematicians.
  • B. Annals of Mathematics Studies
    Annals of Mathematics Studies is a renowned monograph series in advanced mathematics published by Princeton University Press, featuring influential works across a wide range of mathematical fields.
  • C. Clay Mathematics Monographs
    Clay Mathematics Monographs is a series of advanced research books in mathematics published in collaboration with the Clay Mathematics Institute, featuring authoritative treatments of significant topics in modern mathematical research.
  • D. Mathematical Surveys and Monographs
    Mathematical Surveys and Monographs is a prominent book series by the American Mathematical Society that publishes comprehensive, research-level expositions on advanced topics across all areas of mathematics.
  • E. Cambridge Mathematical Library
    Cambridge Mathematical Library is a series of influential mathematics books published by Cambridge University Press, known for presenting advanced topics and classic works in a clear, accessible form for researchers and graduate students.
  • 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.