Triple

T26255204
Position Surface form Disambiguated ID Type / Status
Subject Poincaré upper half-plane model E656696 entity
Predicate hasOrientationPreservingIsometryGroup P14251 FINISHED
Object PSL(2,ℝ) 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: PSL(2,ℝ) | Statement: [Poincaré upper half-plane model, hasOrientationPreservingIsometryGroup, PSL(2,ℝ)]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: hasOrientationPreservingIsometryGroup
Context triple: [Poincaré upper half-plane model, hasOrientationPreservingIsometryGroup, PSL(2,ℝ)]
  • A. hasIsometryGroup chosen
    Indicates that one entity possesses or is associated with a particular isometry group describing all distance-preserving transformations of that entity.
  • B. hasOrientationPreservingSubgroup
    Indicates that one group contains a subgroup whose action preserves orientation in the relevant structure or space.
  • C. hasOrientationPreservingOrbifoldNotation
    Indicates that one entity is associated with an orbifold notation describing a symmetry that preserves orientation (i.e., does not include reflections or other orientation-reversing operations).
  • D. isOrientationPreserving
    Indicates that a transformation or mapping preserves the original orientation of objects, not reversing their handedness or order.
  • E. hasOrientationPreservingSubgroupNotation
    Indicates that a notation is used to represent a subgroup that preserves orientation within a larger structure or group.
  • 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_69f6b903538481909cffcb6cc1cc0e70 completed May 3, 2026, 2:54 a.m.
PD Predicate disambiguation batch_69f6b626120c819097c9ad04487570d7 completed May 3, 2026, 2:42 a.m.
Created at: April 26, 2026, 9:08 p.m.