Triple
T26255205
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Poincaré upper half-plane model |
E656696
|
entity |
| Predicate | hasFullIsometryGroup |
P14251
|
FINISHED |
| Object | PGL(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: PGL(2,ℝ) | Statement: [Poincaré upper half-plane model, hasFullIsometryGroup, PGL(2,ℝ)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasFullIsometryGroup Context triple: [Poincaré upper half-plane model, hasFullIsometryGroup, PGL(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.
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.
-
C.
isMaximallySymmetric
Indicates that the subject exhibits the highest possible degree of symmetry allowed by the relevant structure, constraints, or context.
-
D.
hasAutomorphismGroupContaining
Indicates that the automorphism group of one mathematical structure includes the other group as a subgroup or component.
-
E.
hasAutomorphism
Indicates that there exists a structure-preserving bijection from an entity to itself that maintains all relevant relations and operations.
- 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_69f60dcd2e688190b54e36b0ff0d9187 |
completed | May 2, 2026, 2:44 p.m. |
| PD | Predicate disambiguation | batch_69f60b874cc88190a487230abb69efea |
completed | May 2, 2026, 2:34 p.m. |
Created at: April 26, 2026, 9:08 p.m.