Triple
T26255070
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | PSL(2,ℝ) |
E656693
|
entity |
| Predicate | isFuchsianGroupContainer |
P160161
|
FINISHED |
| Object | contains discrete subgroups called Fuchsian groups |
—
|
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: contains discrete subgroups called Fuchsian groups | Statement: [PSL(2,ℝ), isFuchsianGroupContainer, contains discrete subgroups called Fuchsian groups]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isFuchsianGroupContainer Context triple: [PSL(2,ℝ), isFuchsianGroupContainer, contains discrete subgroups called Fuchsian groups]
-
A.
FuchsianGroupSignature
Indicates the classification of a Fuchsian group by the data (signature) encoding its genus, types and numbers of singularities (such as elliptic points, cusps, and boundary components), which characterizes the group’s action on the hyperbolic plane.
-
B.
isConformalGroupOf
Indicates that one entity is the conformal symmetry group associated with another entity, typically preserving angles and the conformal structure of that object or space.
-
C.
hasAutomorphismGroupContaining
Indicates that the automorphism group of one mathematical structure includes the other group as a subgroup or component.
-
D.
isHyperbolicTriangleGroup
Indicates that a group is a triangle group whose defining triangle lies in hyperbolic geometry (i.e., has angles summing to less than π).
-
E.
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.
- 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.