Triple

T21047082
Position Surface form Disambiguated ID Type / Status
Subject theory of G-structures E518475 entity
Predicate formalizedIn P6279 FINISHED
Object Foundations of Differential Geometry — 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: Foundations of Differential Geometry | Statement: [theory of G-structures, formalizedIn, Foundations of Differential Geometry]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Foundations of Differential Geometry
Context triple: [theory of G-structures, formalizedIn, Foundations of Differential Geometry]
  • A. Lezioni di geometria differenziale
    Lezioni di geometria differenziale is a foundational textbook on differential geometry by Italian mathematician Luigi Bianchi, influential in the development of modern geometric theory.
  • B. Vorlesungen über Differentialgeometrie
    Vorlesungen über Differentialgeometrie is a classic multi-volume textbook on differential geometry by Wilhelm Blaschke that significantly shaped the development and teaching of the subject in the 20th century.
  • C. "Vorlesungen über Differentialgeometrie"
    "Vorlesungen über Differentialgeometrie" is a foundational textbook on differential geometry authored by the influential German mathematician Heinz Hopf.
  • D. differential geometry
    Differential geometry is a branch of mathematics that uses the techniques of calculus and linear algebra to study the properties and curvature of smooth shapes and spaces such as curves, surfaces, and manifolds.
  • E. S. S. Chern school of differential geometry
    The S. S. Chern school of differential geometry is a mathematical tradition and research lineage in differential geometry founded and shaped by Shiing-Shen Chern and his students, known for its deep contributions to global differential geometry and characteristic classes.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: Foundations of Differential Geometry
Target entity description: Foundations of Differential Geometry is a classic two-volume textbook by Shoshichi Kobayashi and Katsumi Nomizu that systematically develops modern differential geometry, including connections, curvature, and geometric structures on manifolds.
  • A. Lezioni di geometria differenziale
    Lezioni di geometria differenziale is a foundational textbook on differential geometry by Italian mathematician Luigi Bianchi, influential in the development of modern geometric theory.
  • B. Vorlesungen über Differentialgeometrie
    Vorlesungen über Differentialgeometrie is a classic multi-volume textbook on differential geometry by Wilhelm Blaschke that significantly shaped the development and teaching of the subject in the 20th century.
  • C. "Vorlesungen über Differentialgeometrie"
    "Vorlesungen über Differentialgeometrie" is a foundational textbook on differential geometry authored by the influential German mathematician Heinz Hopf.
  • D. differential geometry
    Differential geometry is a branch of mathematics that uses the techniques of calculus and linear algebra to study the properties and curvature of smooth shapes and spaces such as curves, surfaces, and manifolds.
  • E. S. S. Chern school of differential geometry
    The S. S. Chern school of differential geometry is a mathematical tradition and research lineage in differential geometry founded and shaped by Shiing-Shen Chern and his students, known for its deep contributions to global differential geometry and characteristic classes.
  • F. None of above. chosen

Provenance (2 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_69e0b50438e08190917e2538bb8bc034 completed April 16, 2026, 10:08 a.m.
NER Named-entity recognition batch_69e6fcf4d26481908b639996500a8319 completed April 21, 2026, 4:28 a.m.
Created at: April 16, 2026, 2:34 p.m.