Triple

T36468580
Position Surface form Disambiguated ID Type / Status
Subject Fenchel–Nielsen coordinates E898483 entity
Predicate instanceOf P0 FINISHED
Object hyperbolic geometry concept C3505 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 geometry concept
Context triple: [Fenchel–Nielsen coordinates, instanceOf, hyperbolic geometry concept]
  • A. model of hyperbolic geometry
    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.
  • B. 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.
  • C. 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.
  • D. geometric structure chosen
    A geometric structure is an abstract mathematical entity defined by sets of points and the relationships between them (such as distances, angles, or incidences) that determine its shape and spatial properties.
  • E. 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.
  • 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.