Triple
T2140224
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Bernard F. Schutz |
E46742
|
entity |
| Predicate | notableWork |
P4
|
FINISHED |
| Object |
Geometrical Methods of Mathematical Physics
Geometrical Methods of Mathematical Physics is a widely used textbook that introduces the differential geometric foundations underlying modern theoretical physics, including topics such as manifolds, tensors, and symmetries.
|
E237594
|
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: Geometrical Methods of Mathematical Physics | Statement: [Bernard F. Schutz, notableWork, Geometrical Methods of Mathematical Physics]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Geometrical Methods of Mathematical Physics Context triple: [Bernard F. Schutz, notableWork, Geometrical Methods of Mathematical Physics]
-
A.
Riemannian manifolds
Riemannian manifolds are smooth manifolds equipped with an inner product on each tangent space that allows one to measure lengths, angles, and curvature in a curved geometric setting.
-
B.
Lorentzian geometry
Lorentzian geometry is the branch of differential geometry that studies manifolds equipped with metrics of Lorentzian signature, providing the mathematical framework for general relativity and spacetime physics.
-
C.
Chern–Weil theory
Chern–Weil theory is a framework in differential geometry that constructs characteristic classes of vector bundles from curvature forms, linking topology and geometry through invariant polynomials.
-
D.
foundations of geometric algebra as a unified language for physics
Foundations of geometric algebra as a unified language for physics is a mathematical framework that reformulates and streamlines the description of physical theories—such as classical mechanics, electromagnetism, and quantum mechanics—within a single, coherent algebraic system.
-
E.
Mathematical Foundations of Quantum Mechanics
Mathematical Foundations of Quantum Mechanics is John von Neumann’s landmark 1932 treatise that rigorously formulates quantum theory using functional analysis and operator theory on Hilbert spaces.
- 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: Geometrical Methods of Mathematical Physics Triple: [Bernard F. Schutz, notableWork, Geometrical Methods of Mathematical Physics]
Generated description
Geometrical Methods of Mathematical Physics is a widely used textbook that introduces the differential geometric foundations underlying modern theoretical physics, including topics such as manifolds, tensors, and symmetries.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Geometrical Methods of Mathematical Physics Target entity description: Geometrical Methods of Mathematical Physics is a widely used textbook that introduces the differential geometric foundations underlying modern theoretical physics, including topics such as manifolds, tensors, and symmetries.
-
A.
Riemannian manifolds
Riemannian manifolds are smooth manifolds equipped with an inner product on each tangent space that allows one to measure lengths, angles, and curvature in a curved geometric setting.
-
B.
Lorentzian geometry
Lorentzian geometry is the branch of differential geometry that studies manifolds equipped with metrics of Lorentzian signature, providing the mathematical framework for general relativity and spacetime physics.
-
C.
Chern–Weil theory
Chern–Weil theory is a framework in differential geometry that constructs characteristic classes of vector bundles from curvature forms, linking topology and geometry through invariant polynomials.
-
D.
foundations of geometric algebra as a unified language for physics
Foundations of geometric algebra as a unified language for physics is a mathematical framework that reformulates and streamlines the description of physical theories—such as classical mechanics, electromagnetism, and quantum mechanics—within a single, coherent algebraic system.
-
E.
Mathematical Foundations of Quantum Mechanics
Mathematical Foundations of Quantum Mechanics is John von Neumann’s landmark 1932 treatise that rigorously formulates quantum theory using functional analysis and operator theory on Hilbert spaces.
- 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_69a88a174ab48190a5db20c132e5dccf |
completed | March 4, 2026, 7:37 p.m. |
| NER | Named-entity recognition | batch_69abbe04135c8190ab100b4b3879cb01 |
completed | March 7, 2026, 5:56 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69ae51b37ce08190add9df46cc17ba89 |
completed | March 9, 2026, 4:50 a.m. |
| NEDg | Description generation | batch_69ae52e539f081908424c4093c125861 |
completed | March 9, 2026, 4:56 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69ae5357e1088190bcffccb37030f3fc |
completed | March 9, 2026, 4:58 a.m. |
Created at: March 4, 2026, 7:44 p.m.