Triple

T26255186
Position Surface form Disambiguated ID Type / Status
Subject Poincaré upper half-plane model E656696 entity
Predicate instanceOf P0 FINISHED
Object conformal model of the hyperbolic plane C51336 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: conformal model of the hyperbolic plane
Context triple: [Poincaré upper half-plane model, instanceOf, conformal model of the hyperbolic plane]
  • 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. Penrose diagram
    A Penrose diagram is a spacetime diagram used in general relativity that compactifies infinite regions to finite size, allowing the global causal structure of a spacetime to be visualized.
  • D. 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.
  • E. projective plane of order 2
    A projective plane of order 2 is a finite incidence structure with 7 points and 7 lines where each line contains 3 points, each point lies on 3 lines, and any two distinct points (or lines) determine a unique line (or point).
  • 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.