Triple

T21145305
Position Surface form Disambiguated ID Type / Status
Subject Kobayashi metric E521038 entity
Predicate instanceOf P0 FINISHED
Object hyperbolic metric C18165 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: hyperbolic metric
Context triple: [Kobayashi metric, instanceOf, hyperbolic metric]
  • A. Kleinian group
    A Kleinian group is a discrete subgroup of the group of Möbius transformations acting on the Riemann sphere (or equivalently on hyperbolic 3-space), often studied via its geometric and dynamical properties.
  • B. geodesic in moduli space
    A geodesic in moduli space is the locally length-minimizing path (with respect to a chosen natural metric, such as the Weil–Petersson metric) that describes the most efficient deformation of complex structures or geometric data between two points in the moduli space.
  • C. pseudometric
    A pseudometric is a function that assigns a nonnegative real number as a "distance" between any two points in a set, satisfying all the axioms of a metric except that distinct points are allowed to have zero distance.
  • D. geodesic structure
    A geodesic structure is a framework composed of short, straight elements arranged along geodesic lines on a surface to create a lightweight, stable, and often dome-like form.
  • E. metric chosen
    A metric is a function that defines a distance between elements of a set, satisfying non-negativity, identity of indiscernibles, symmetry, and the triangle inequality.
  • 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_69e0b50c6a848190a4e525a77a319b8a completed April 16, 2026, 10:08 a.m.
Created at: April 16, 2026, 2:58 p.m.