Triple

T5705484
Position Surface form Disambiguated ID Type / Status
Subject Cartan connection E125773 entity
Predicate instanceOf P0 FINISHED
Object generalization of affine connection C3506 CONCEPT FINISHED

How this triple was built (1 step)

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.

CD Concept disambiguation gpt-5-mini-2025-08-07 
Target class: generalization of affine connection
Context triple: [Cartan connection, instanceOf, generalization of affine connection]
  • A. tensorial connection coefficient
    A tensorial connection coefficient is a geometric object that encodes how tensor components change under parallel transport or differentiation on a manifold in a way that transforms as a true tensor.
  • B. pseudo-Riemannian manifold
    A pseudo-Riemannian manifold is a smooth manifold equipped with a nondegenerate, symmetric metric tensor of arbitrary signature that allows measurement of lengths and angles, including those with indefinite sign as in spacetime geometry.
  • C. differential geometric object chosen
    A differential geometric object is a mathematical entity, such as a manifold, tensor, or connection, defined on smooth spaces and characterized by properties that are invariant under smooth coordinate transformations.
  • D. Lorentzian manifold
    A Lorentzian manifold is a smooth manifold equipped with a metric tensor of signature \((-+\cdots+)\) (or its variants) that models spacetime in general relativity by distinguishing timelike, spacelike, and null directions.
  • E. branch of differential geometry
    A branch of differential geometry is a specialized area of study within differential geometry that focuses on analyzing smooth manifolds and related geometric structures using differential and integral calculus techniques.
  • F. None of above.

Provenance (1 batch)

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_69c0082c96988190b3a6a201edce472a completed March 22, 2026, 3:18 p.m.
Created at: March 22, 2026, 3:45 p.m.