Triple

T26255199
Position Surface form Disambiguated ID Type / Status
Subject Poincaré upper half-plane model E656696 entity
Predicate isConformalTo P160143 FINISHED
Object Euclidean upper half-plane — NE NERFINISHED

How this triple was built (2 steps)

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.

NER Named-entity recognition gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Euclidean upper half-plane | Statement: [Poincaré upper half-plane model, isConformalTo, Euclidean upper half-plane]
PD Predicate disambiguation gpt-5-mini-2025-08-07 
Target predicate: isConformalTo
Context triple: [Poincaré upper half-plane model, isConformalTo, Euclidean upper half-plane]
  • A. isConformalGroupOf
    Indicates that one entity is the conformal symmetry group associated with another entity, typically preserving angles and the conformal structure of that object or space.
  • B. isConformallyFlat
    Indicates that a geometric space or metric can be transformed by a smooth, position-dependent scaling into a flat (Euclidean or Minkowski) metric, preserving angles but not necessarily lengths.
  • C. isBiholomorphismOf chosen
    Indicates that one complex-analytic map is a biholomorphic equivalence between two complex manifolds, i.e., a holomorphic bijection whose inverse is also holomorphic.
  • D. isDiffeomorphicTo
    Indicates that there exists a smooth, bijective map between two spaces whose inverse is also smooth, so the spaces are equivalent in the sense of differential topology.
  • E. breaksConformalInvariance
    Indicates that the referenced entity or interaction causes conformal (scale and angle) symmetry to be violated or no longer preserved.
  • F. None of above.

Provenance (3 batches)

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.
NER Named-entity recognition batch_69f62d53ad58819080c5227c7a729d15 completed May 2, 2026, 4:58 p.m.
PD Predicate disambiguation batch_69f62c15952881908a5ea0c25904afec completed May 2, 2026, 4:53 p.m.
Created at: April 26, 2026, 9:08 p.m.