Triple
T13444244
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Paul Halmos |
E320438
|
entity |
| Predicate | notableWork |
P4
|
FINISHED |
| Object |
A Hilbert Space Problem Book
A Hilbert Space Problem Book is a classic problem-oriented textbook by Paul Halmos that presents and explores key concepts in Hilbert space theory through a comprehensive collection of exercises and solutions.
|
E1041774
|
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: A Hilbert Space Problem Book | Statement: [Paul Halmos, notableWork, A Hilbert Space Problem Book]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: A Hilbert Space Problem Book Context triple: [Paul Halmos, notableWork, A Hilbert Space Problem Book]
-
A.
Theory of Linear Operations
Theory of Linear Operations is a foundational 1932 monograph by Stefan Banach that systematically developed functional analysis and the theory of Banach spaces.
-
B.
Leçons d’analyse fonctionnelle
Leçons d’analyse fonctionnelle is a foundational textbook in functional analysis that helped shape the modern theory of linear operators and Banach and Hilbert spaces.
-
C.
Hilbert spaces
Hilbert spaces are complete inner product spaces that provide the fundamental framework for modern functional analysis and many areas of mathematical physics.
-
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.
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: A Hilbert Space Problem Book Triple: [Paul Halmos, notableWork, A Hilbert Space Problem Book]
Generated description
A Hilbert Space Problem Book is a classic problem-oriented textbook by Paul Halmos that presents and explores key concepts in Hilbert space theory through a comprehensive collection of exercises and solutions.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: A Hilbert Space Problem Book Target entity description: A Hilbert Space Problem Book is a classic problem-oriented textbook by Paul Halmos that presents and explores key concepts in Hilbert space theory through a comprehensive collection of exercises and solutions.
-
A.
Theory of Linear Operations
Theory of Linear Operations is a foundational 1932 monograph by Stefan Banach that systematically developed functional analysis and the theory of Banach spaces.
-
B.
Leçons d’analyse fonctionnelle
Leçons d’analyse fonctionnelle is a foundational textbook in functional analysis that helped shape the modern theory of linear operators and Banach and Hilbert spaces.
-
C.
Hilbert spaces
Hilbert spaces are complete inner product spaces that provide the fundamental framework for modern functional analysis and many areas of mathematical physics.
-
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.
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_69d80761e6cc8190a90c844589998ecc |
completed | April 9, 2026, 8:09 p.m. |
| NER | Named-entity recognition | batch_69dbaee881888190811ddf01bc699864 |
completed | April 12, 2026, 2:40 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69f739965ef081909e85881ce805bbb5 |
completed | May 3, 2026, 12:03 p.m. |
| NEDg | Description generation | batch_69f740e536d48190af369b38aa42438d |
completed | May 3, 2026, 12:34 p.m. |
| NED2 | Entity disambiguation (via description) | batch_69f741b72d08819087808bf9bcffa0a1 |
completed | May 3, 2026, 12:38 p.m. |
Created at: April 9, 2026, 9:40 p.m.