Triple
T26255082
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | PSL(2,ℝ) |
E656693
|
entity |
| Predicate | hasLatticeSubgroups |
P178005
|
FINISHED |
| Object | fundamental groups of closed hyperbolic surfaces |
—
|
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: fundamental groups of closed hyperbolic surfaces | Statement: [PSL(2,ℝ), hasLatticeSubgroups, fundamental groups of closed hyperbolic surfaces]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasLatticeSubgroups Context triple: [PSL(2,ℝ), hasLatticeSubgroups, fundamental groups of closed hyperbolic surfaces]
-
A.
hasLatticeStructure
Indicates that one entity possesses or exhibits a lattice structure, meaning its elements are partially ordered such that any two elements have well-defined least upper and greatest lower bounds.
-
B.
hasParabolicSubgroupsCorrespondingTo
Indicates that one mathematical structure possesses parabolic subgroups that correspond in a defined way to elements or substructures of another entity.
-
C.
hasOrientationPreservingSubgroupNotation
Indicates that a notation is used to represent a subgroup that preserves orientation within a larger structure or group.
-
D.
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.
-
E.
hasOrientationPreservingSubgroup
Indicates that one group contains a subgroup whose action preserves orientation in the relevant structure or space.
- 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_69f707f7959881908f037f0d6b1d0c36 |
completed | May 3, 2026, 8:31 a.m. |
| PD | Predicate disambiguation | batch_69f700fc274c8190a128593dc7c7abd0 |
completed | May 3, 2026, 8:02 a.m. |
| PDg | Predicate description generation | batch_69f707f380388190954b79d52a321921 |
completed | May 3, 2026, 8:31 a.m. |
Created at: April 26, 2026, 9:08 p.m.