Triple

T27176517
Position Surface form Disambiguated ID Type / Status
Subject SL(2,R) E683056 entity
Predicate hasDiscreteSubgroup P181307 FINISHED
Object SL(2,Z) 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: SL(2,Z) | Statement: [SL(2,R), hasDiscreteSubgroup, SL(2,Z)]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: hasDiscreteSubgroup
Context triple: [SL(2,R), hasDiscreteSubgroup, SL(2,Z)]
  • A. hasLatticeSubgroups
    Indicates that one mathematical structure contains subgroups that form a lattice under inclusion or related order operations.
  • B. hasSpecialSubgroup
    Indicates that an entity includes or is associated with a particular subgroup that has distinctive or exceptional properties compared to its other subgroups.
  • C. hasParabolicSubgroups
    Indicates that one mathematical object (typically a group) possesses parabolic subgroups related to it, usually in the sense of subgroup structures defined by a parabolic construction.
  • D. isCharacteristicSubgroup
    Indicates that one subgroup is invariant under all automorphisms of the parent group, making it a characteristic subgroup of that group.
  • E. hasNormalSubgroup
    Indicates that one group is a normal subgroup of another group, meaning it is invariant under conjugation by elements of the 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_69eefad086808190ab89816c0c300476 completed April 27, 2026, 5:57 a.m.
NER Named-entity recognition batch_69f7688dd3d08190ad13d0e780570a1c completed May 3, 2026, 3:23 p.m.
PD Predicate disambiguation batch_69f767fcf2f881908bacc7bfc38e68a5 completed May 3, 2026, 3:21 p.m.
PDg Predicate description generation batch_69f7688cea58819098bdfd7c80df7634 completed May 3, 2026, 3:23 p.m.
Created at: April 27, 2026, 9:26 a.m.