Triple

T2140200
Position Surface form Disambiguated ID Type / Status
Subject Bernard F. Schutz E46742 entity
Predicate knownFor P22 FINISHED
Object textbook "Geometrical Methods of Mathematical Physics"
"Geometrical Methods of Mathematical Physics" is a widely used advanced textbook that introduces the differential geometric foundations underlying modern theoretical physics, including topics such as manifolds, tensors, and symmetries.
 E237590 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: textbook "Geometrical Methods of Mathematical Physics" | Statement: [Bernard F. Schutz, knownFor, textbook "Geometrical Methods of Mathematical Physics"]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: textbook "Geometrical Methods of Mathematical Physics"
Context triple: [Bernard F. Schutz, knownFor, textbook "Geometrical Methods of Mathematical Physics"]
  • A. 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.
  • B. Disquisitiones Generales Circa Superficies Curvas
    Disquisitiones Generales Circa Superficies Curvas is Carl Friedrich Gauss’s foundational 1827 work on differential geometry, in which he developed the intrinsic theory of curved surfaces and introduced concepts such as Gaussian curvature.
  • C. A Course of Pure Mathematics
    A Course of Pure Mathematics is a classic early 20th-century textbook that rigorously introduces the foundations of mathematical analysis and helped shape modern university-level mathematics education.
  • D. Book III of Geometry (Descartes)
    Book III of Geometry (Descartes) is the concluding section of René Descartes’ seminal work "La Géométrie," where he further develops his analytic methods and applies them to more advanced problems in algebraic geometry.
  • E. Journal of Mathematical Physics
    Journal of Mathematical Physics is a peer-reviewed academic journal focusing on research at the intersection of mathematics and theoretical physics.
  • 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: textbook "Geometrical Methods of Mathematical Physics"
Triple: [Bernard F. Schutz, knownFor, textbook "Geometrical Methods of Mathematical Physics"]
Generated description
"Geometrical Methods of Mathematical Physics" is a widely used advanced 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: textbook "Geometrical Methods of Mathematical Physics"
Target entity description: "Geometrical Methods of Mathematical Physics" is a widely used advanced textbook that introduces the differential geometric foundations underlying modern theoretical physics, including topics such as manifolds, tensors, and symmetries.
  • A. 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.
  • B. Disquisitiones Generales Circa Superficies Curvas
    Disquisitiones Generales Circa Superficies Curvas is Carl Friedrich Gauss’s foundational 1827 work on differential geometry, in which he developed the intrinsic theory of curved surfaces and introduced concepts such as Gaussian curvature.
  • C. A Course of Pure Mathematics
    A Course of Pure Mathematics is a classic early 20th-century textbook that rigorously introduces the foundations of mathematical analysis and helped shape modern university-level mathematics education.
  • D. Book III of Geometry (Descartes)
    Book III of Geometry (Descartes) is the concluding section of René Descartes’ seminal work "La Géométrie," where he further develops his analytic methods and applies them to more advanced problems in algebraic geometry.
  • E. Journal of Mathematical Physics
    Journal of Mathematical Physics is a peer-reviewed academic journal focusing on research at the intersection of mathematics and theoretical physics.
  • 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.