Triple

T26255182
Position Surface form Disambiguated ID Type / Status
Subject Poincaré upper half-plane model E656696 entity
Predicate instanceOf P0 FINISHED
Object model of hyperbolic geometry 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: model of hyperbolic geometry
Context triple: [Poincaré upper half-plane model, instanceOf, model of hyperbolic geometry]
  • 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. geometer
    A geometer is a mathematician who studies the properties, relationships, and structures of shapes, spaces, and figures in geometry.
  • 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. hypersurface
    A hypersurface is a high-dimensional generalization of a surface, defined as a subset of an n-dimensional space that has dimension n−1.
  • F. None of above. chosen

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_69ee5b4d25ac819086acb51184602576 completed April 26, 2026, 6:37 p.m.
Created at: April 26, 2026, 9:08 p.m.