Triple

T36468957
Position Surface form Disambiguated ID Type / Status
Subject Poincaré metric E898491 entity
Predicate instanceOf P0 FINISHED
Object metric of constant negative curvature C51335 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: metric of constant negative curvature
Context triple: [Poincaré metric, instanceOf, metric of constant negative curvature]
  • A. conformal model of the hyperbolic plane
    A conformal model of the hyperbolic plane is a geometric representation (such as the Poincaré disk or upper half-plane) in which hyperbolic lines and distances are depicted so that angles are preserved while the metric differs from the Euclidean one.
  • B. model of hyperbolic geometry chosen
    A model of hyperbolic geometry is a mathematical structure that represents the axioms and properties of hyperbolic space—where, unlike in Euclidean geometry, through any point not on a given line there exist infinitely many parallel lines—within a concrete setting such as the Poincaré disk or upper half-plane.
  • C. Kähler metric
    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.
  • D. 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.
  • E. 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.
  • 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_69f76e58ebd88190b75d9b169b59d793 completed May 3, 2026, 3:48 p.m.
Created at: May 3, 2026, 4:10 p.m.