Triple

T36468982
Position Surface form Disambiguated ID Type / Status
Subject Poincaré metric E898491 entity
Predicate geodesicsOnUpperHalfPlane P22985 FINISHED
Object vertical lines and semicircles orthogonal to real axis LITERAL FINISHED

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: vertical lines and semicircles orthogonal to real axis | Statement: [Poincaré metric, geodesicsOnUpperHalfPlane, vertical lines and semicircles orthogonal to real axis]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: geodesicsOnUpperHalfPlane
Context triple: [Poincaré metric, geodesicsOnUpperHalfPlane, vertical lines and semicircles orthogonal to real axis]
  • A. geodesicsAre chosen
    Indicates that certain paths or curves in a space are geodesics, i.e., they locally minimize distance or follow the straightest possible trajectory according to the space’s geometry.
  • B. hasGeodesics
    Indicates that the subject possesses or is characterized by geodesic paths, typically representing shortest or straightest possible routes within a given space or geometry.
  • C. BlaschkeCondition
    Indicates that a sequence of points in the unit disk satisfies the Blaschke condition, meaning the sum of their distances from the boundary (1 − |zₙ|) is finite, ensuring convergence of the associated Blaschke product.
  • D. hasHyperbolicArea
    Indicates that one entity possesses or is associated with a specific area measured in hyperbolic geometry.
  • E. isDistanceDecreasingUnderHolomorphicMaps
    Indicates that under holomorphic (complex analytic) maps, the distance between points does not increase and in certain contexts strictly decreases, reflecting a contraction-like behavior with respect to an appropriate metric.
  • 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_69f76e58ebd88190b75d9b169b59d793 completed May 3, 2026, 3:48 p.m.
NER Named-entity recognition batch_69f7c777e924819081a6634f549fe552 completed May 3, 2026, 10:08 p.m.
PD Predicate disambiguation batch_69f7c477a4d481908f52e55b6688f60c completed May 3, 2026, 9:56 p.m.
Created at: May 3, 2026, 4:10 p.m.