Triple

T26255212
Position Surface form Disambiguated ID Type / Status
Subject Poincaré upper half-plane model E656696 entity
Predicate isIsometricTo P160551 FINISHED
Object Poincaré disk model 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: Poincaré disk model | Statement: [Poincaré upper half-plane model, isIsometricTo, Poincaré disk model]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: isIsometricTo
Context triple: [Poincaré upper half-plane model, isIsometricTo, Poincaré disk model]
  • A. isIsotropicWithRespectTo
    Indicates that one entity exhibits identical properties or behavior in all directions relative to, or when measured with respect to, another specified frame, medium, or reference.
  • B. isIsotropic
    Indicates that a property or behavior is identical in all directions, showing no directional dependence.
  • C. isIsomorphicTo
    Indicates that two structures have a one-to-one, structure-preserving correspondence between their elements, making them equivalent in form even if not identical in content.
  • D. isProportionalTo
    Indicates that one quantity varies in constant ratio to another, so when one changes, the other changes by a fixed multiplicative factor.
  • E. 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.
  • F. None of above. chosen

Provenance (4 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_69f60dcd2e688190b54e36b0ff0d9187 completed May 2, 2026, 2:44 p.m.
PD Predicate disambiguation batch_69f602d2ec748190ae95154f34c7878f completed May 2, 2026, 1:57 p.m.
PDg Predicate description generation batch_69f6037bf7a081908862a8359be80cf8 completed May 2, 2026, 2 p.m.
Created at: April 26, 2026, 9:08 p.m.