Triple
T2866508
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Princeton Mathematical Series |
E63452
|
entity |
| Predicate | workIncluded |
P10663
|
FINISHED |
| Object | "Topology from the Differentiable Viewpoint" |
E265521
|
NE FINISHED |
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: "Topology from the Differentiable Viewpoint" | Statement: [Princeton Mathematical Series, workIncluded, "Topology from the Differentiable Viewpoint"]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: "Topology from the Differentiable Viewpoint" Context triple: [Princeton Mathematical Series, workIncluded, "Topology from the Differentiable Viewpoint"]
-
A.
Topology from the Differentiable Viewpoint
chosen
"Topology from the Differentiable Viewpoint" is a classic introductory monograph on differential topology that presents key concepts such as smooth manifolds, vector bundles, and characteristic classes in a concise and accessible style.
-
B.
J. Munkres, Elementary Differential Topology
"J. Munkres, Elementary Differential Topology" is a classic introductory textbook that rigorously develops the foundations of differential topology, including topics such as smooth manifolds, transversality, and approximation theorems.
-
C.
J. Lee, Introduction to Smooth Manifolds
*J. Lee, Introduction to Smooth Manifolds* is a widely used graduate-level textbook that provides a rigorous and accessible introduction to the theory of smooth manifolds and differential topology.
-
D.
M. Hirsch, Differential Topology
*Differential Topology* by M. Hirsch is a classic graduate-level textbook that systematically develops the foundations of differential topology and is widely regarded as a standard reference in the field.
-
E.
Topologie (with Heinz Hopf)
"Topologie" is a foundational 1935 textbook on general topology co-authored by Pavel Alexandrov and Heinz Hopf that helped shape the modern development of the field.
- 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: workIncluded Context triple: [Princeton Mathematical Series, workIncluded, "Topology from the Differentiable Viewpoint"]
-
A.
workIncludes
chosen
Indicates that a work (such as a project, document, or creative piece) contains or incorporates another specified component, part, or element.
-
B.
worksTo
Indicates that one entity performs work or exerts effort in order to achieve, support, or contribute to another entity or outcome.
-
C.
workBy
Indicates that a work (such as a creation, product, or result) is produced, authored, or created by a particular agent or entity.
-
D.
workOn
Indicates that an agent is actively engaged in performing tasks or making progress on a particular project, object, or assignment.
-
E.
otherWork
Indicates that one work is related to another work by the same creator, but is distinct from the primary or referenced work.
- F. None of above.
Provenance (4 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_69ab4c42fb8c8190b36e161d47c03b81 |
completed | March 6, 2026, 9:50 p.m. |
| NER | Named-entity recognition | batch_69abdfbb7ed4819096ca65391077e2af |
completed | March 7, 2026, 8:20 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69b01da85930819092d19a5e712cfa18 |
completed | March 10, 2026, 1:33 p.m. |
| PD | Predicate disambiguation | batch_69abdd123ec48190af50a1859aea50b7 |
completed | March 7, 2026, 8:08 a.m. |
Created at: March 6, 2026, 10:02 p.m.