Triple

T22328733
Position Surface form Disambiguated ID Type / Status
Subject Calabi–Yau metric E551968 entity
Predicate instanceOf P0 FINISHED
Object Ricci-flat metric C44600 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: Ricci-flat metric
Context triple: [Calabi–Yau metric, instanceOf, Ricci-flat metric]
  • A. Kähler metric chosen
    A Kähler metric is a Riemannian metric on a complex manifold that is compatible with both the complex structure and a symplectic form, such that the associated Kähler form is closed.
  • B. Hermitian metric
    A Hermitian metric is a smoothly varying, positive-definite Hermitian inner product on the tangent spaces of a complex manifold, compatible with its complex structure.
  • C. 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.
  • 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. curvature tensor
    A curvature tensor is a multilinear mathematical object in differential geometry that measures how much a space (or manifold) deviates from being flat by quantifying the failure of vectors to return to their original direction after parallel transport around infinitesimal loops.
  • 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_69e11e482f788190b78d1588fc26d606 completed April 16, 2026, 5:37 p.m.
Created at: April 16, 2026, 8:43 p.m.