Triple
T21972906
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Functional Analysis: Introduction to Further Topics in Analysis |
E542635
|
entity |
| Predicate | partOfSeries |
P1761
|
FINISHED |
| Object |
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.
|
E1511330
|
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: Princeton Lectures in Analysis | Statement: [Functional Analysis: Introduction to Further Topics in Analysis, partOfSeries, Princeton Lectures in Analysis]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Princeton Lectures in Analysis Context triple: [Functional Analysis: Introduction to Further Topics in Analysis, partOfSeries, Princeton Lectures in Analysis]
-
A.
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.
-
B.
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.
-
C.
Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals
"Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals" is a foundational graduate-level textbook by Elias Stein that systematically develops modern harmonic analysis using real-variable techniques, emphasizing singular integrals, Littlewood–Paley theory, and oscillatory integral methods.
-
D.
Lectures on Fourier Integrals
Lectures on Fourier Integrals is a classic mathematical monograph by Salomon Bochner that systematically develops the theory and applications of Fourier integrals and transforms.
-
E.
Princeton Mathematical Series
Princeton Mathematical Series is a renowned collection of advanced mathematics books published by Princeton University Press, featuring influential works by leading mathematicians.
- 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: Princeton Lectures in Analysis Triple: [Functional Analysis: Introduction to Further Topics in Analysis, partOfSeries, Princeton Lectures in Analysis]
Generated description
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.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Princeton Lectures in Analysis Target entity description: 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.
-
A.
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.
-
B.
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.
-
C.
Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals
"Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals" is a foundational graduate-level textbook by Elias Stein that systematically develops modern harmonic analysis using real-variable techniques, emphasizing singular integrals, Littlewood–Paley theory, and oscillatory integral methods.
-
D.
Lectures on Fourier Integrals
Lectures on Fourier Integrals is a classic mathematical monograph by Salomon Bochner that systematically develops the theory and applications of Fourier integrals and transforms.
-
E.
Princeton Mathematical Series
Princeton Mathematical Series is a renowned collection of advanced mathematics books published by Princeton University Press, featuring influential works by leading mathematicians.
- 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_69e0c48070988190909db97667b9a0ac |
completed | April 16, 2026, 11:14 a.m. |
| NER | Named-entity recognition | batch_69f124857dcc8190ab474cd8ab9c130a |
completed | April 28, 2026, 9:20 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_6a0a6718c3fc8190bd74e5085e4d3b8b |
completed | May 18, 2026, 1:10 a.m. |
| NEDg | Description generation | batch_6a0a67910f0081908d3d4771be0fb167 |
completed | May 18, 2026, 1:12 a.m. |
| NED2 | Entity disambiguation (via description) | batch_6a0a68038d148190a9b2811f23fa802e |
completed | May 18, 2026, 1:14 a.m. |
Created at: April 16, 2026, 8:02 p.m.