Triple

T26255208
Position Surface form Disambiguated ID Type / Status
Subject Poincaré upper half-plane model E656696 entity
Predicate isSimplyTransitiveUnder P160168 FINISHED
Object PSL(2,ℝ) on oriented geodesics 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: PSL(2,ℝ) on oriented geodesics | Statement: [Poincaré upper half-plane model, isSimplyTransitiveUnder, PSL(2,ℝ) on oriented geodesics]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: isSimplyTransitiveUnder
Context triple: [Poincaré upper half-plane model, isSimplyTransitiveUnder, PSL(2,ℝ) on oriented geodesics]
  • A. is2TransitiveOn
    Indicates that the relationship is transitive when applied to pairs of entities drawn from a specified second set or domain.
  • B. edgeTransitivity
    Indicates how consistently connections between entities form transitive patterns, such that if one entity is linked to a second and the second to a third, there is also a direct link between the first and third.
  • C. isTransitiveClass
    Indicates that a class has the transitive property, meaning if it relates A to B and B to C, it must also relate A to C.
  • D. areEdgeTransitive
    Indicates that the relation is invariant under all edge-preserving automorphisms, meaning any edge can be mapped to any other edge by a symmetry of the structure.
  • E. isClosedSubgroupOf
    Indicates that one group is a subgroup of another and is closed in the topological sense within that larger group.
  • 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_69f5f7ff548c8190a23e98c5e66e0bc7 completed May 2, 2026, 1:11 p.m.
PDg Predicate description generation batch_69f5ffc6268c8190b63f6360ebadab73 completed May 2, 2026, 1:44 p.m.
Created at: April 26, 2026, 9:08 p.m.