Triple

T26255227
Position Surface form Disambiguated ID Type / Status
Subject Poincaré upper half-plane model E656696 entity
Predicate hasOrientationReversingIsometries P174236 FINISHED
Object complex conjugation composed with PSL(2,ℝ) 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: complex conjugation composed with PSL(2,ℝ) | Statement: [Poincaré upper half-plane model, hasOrientationReversingIsometries, complex conjugation composed with PSL(2,ℝ)]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: hasOrientationReversingIsometries
Context triple: [Poincaré upper half-plane model, hasOrientationReversingIsometries, complex conjugation composed with PSL(2,ℝ)]
  • A. isOrientationPreserving
    Indicates that a transformation or mapping preserves the original orientation of objects, not reversing their handedness or order.
  • B. hasIsometryGroup
    Indicates that one entity possesses or is associated with a particular isometry group describing all distance-preserving transformations of that entity.
  • 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. hasAutomorphism
    Indicates that there exists a structure-preserving bijection from an entity to itself that maintains all relevant relations and operations.
  • E. hasOuterAutomorphisms
    Indicates that the mathematical structure in question admits non-inner automorphisms, i.e., symmetries not arising from conjugation by its own elements.
  • 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_69f6bcc425588190afd0dceba43ed79f completed May 3, 2026, 3:11 a.m.
PD Predicate disambiguation batch_69f6ba6b1e6c8190adf9d6a257e0b744 completed May 3, 2026, 3 a.m.
PDg Predicate description generation batch_69f6bbf5a8288190ae170bcbe8ab65cf completed May 3, 2026, 3:07 a.m.
Created at: April 26, 2026, 9:08 p.m.