Triple

T27176512
Position Surface form Disambiguated ID Type / Status
Subject SL(2,R) E683056 entity
Predicate actsByIsometriesOn P161821 FINISHED
Object hyperbolic plane 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: hyperbolic plane | Statement: [SL(2,R), actsByIsometriesOn, hyperbolic plane]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: actsByIsometriesOn
Context triple: [SL(2,R), actsByIsometriesOn, hyperbolic plane]
  • A. hasIsometryGroup
    Indicates that one entity possesses or is associated with a particular isometry group describing all distance-preserving transformations of that entity.
  • B. isAutomorphismGroupOf
    Indicates that a group is the full automorphism group consisting of all structure-preserving bijections (automorphisms) of a given mathematical object.
  • C. hasAutomorphism
    Indicates that there exists a structure-preserving bijection from an entity to itself that maintains all relevant relations and operations.
  • D. isMaximalSymmetryGroupOf
    Indicates that a group represents the largest possible symmetry group for a given object or structure, such that no strictly larger symmetry group of that object exists containing it.
  • E. hasAutomorphismGroupContaining
    Indicates that the automorphism group of one mathematical structure includes the other group as a subgroup or component.
  • 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_69eefad086808190ab89816c0c300476 completed April 27, 2026, 5:57 a.m.
NER Named-entity recognition batch_69f6257a5ae881908db3032511378836 completed May 2, 2026, 4:25 p.m.
PD Predicate disambiguation batch_69f61b41f3848190bd38e697cf189a87 completed May 2, 2026, 3:41 p.m.
PDg Predicate description generation batch_69f61f109ef48190873bfe18638d2046 completed May 2, 2026, 3:58 p.m.
Created at: April 27, 2026, 9:26 a.m.