Triple
T21972929
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Functional Analysis: Introduction to Further Topics in Analysis |
E542635
|
entity |
| Predicate | hasVolumeInSeries |
P91775
|
FINISHED |
| Object | Real Analysis: Measure Theory, Integration, and Hilbert Spaces |
—
|
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: Real Analysis: Measure Theory, Integration, and Hilbert Spaces | Statement: [Functional Analysis: Introduction to Further Topics in Analysis, hasVolumeInSeries, 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: [Functional Analysis: Introduction to Further Topics in Analysis, hasVolumeInSeries, 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.
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasVolumeInSeries Context triple: [Functional Analysis: Introduction to Further Topics in Analysis, hasVolumeInSeries, Real Analysis: Measure Theory, Integration, and Hilbert Spaces]
-
A.
isBoundVolumeSeries
Indicates that one entity is a series composed of multiple bound volumes that are physically or conceptually grouped together.
-
B.
hasSeriesNumber
Indicates that an entity is assigned a specific ordinal or sequence number within a series or ordered set.
-
C.
hasThreeVolumeStructureRole
Indicates that an entity participates in or fulfills a role within a three-volume structural organization or framework.
-
D.
hasSeriesStructure
chosen
Indicates that one entity is organized as a sequence or series of related components or parts.
-
E.
seriesVolumeNumber
Indicates the specific volume number assigned to an item within an ordered series.
- F. None of above.
Provenance (3 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. |
| PD | Predicate disambiguation | batch_69e6f601f2188190893bcdde0cf58ad6 |
completed | April 21, 2026, 3:58 a.m. |
Created at: April 16, 2026, 8:02 p.m.