Triple

T26254893
Position Surface form Disambiguated ID Type / Status
Subject T : z ↦ z + 1 E656690 entity
Predicate instanceOf P0 FINISHED
Object generator of PSL(2,ℤ) C51329 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: generator of PSL(2,ℤ)
Context triple: [T : z ↦ z + 1, instanceOf, generator of PSL(2,ℤ)]
  • 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. sage
    A sage is a wise and knowledgeable individual, often sought for guidance, insight, and thoughtful counsel grounded in deep understanding and experience.
  • C. circle method
    The circle method is an analytic number theory technique that uses integration over the unit circle in the complex plane to estimate the number of representations of integers by various arithmetic functions.
  • D. 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.
  • E. Lie algebra generators
    Lie algebra generators are the fundamental elements of a Lie algebra whose linear combinations and commutators encode the infinitesimal symmetries and structure constants of a continuous symmetry group.
  • 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.