Triple
T36640459
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Veech surface |
E904568
|
entity |
| Predicate | VeechGroup |
P186112
|
FINISHED |
| Object | lattice subgroup of SL(2,R) |
—
|
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: lattice subgroup of SL(2,R) | Statement: [Veech surface, VeechGroup, lattice subgroup of SL(2,R)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: VeechGroup Context triple: [Veech surface, VeechGroup, lattice subgroup of SL(2,R)]
-
A.
isFuchsianGroupContainer
Indicates that one entity serves as a container or holder for a Fuchsian group associated with the other entity.
-
B.
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).
-
C.
actsProperlyDiscontinuouslyOn
Indicates that one entity (typically a group) acts on another (typically a space) in such a way that each point has a neighborhood intersecting only finitely many of its images under the action, ensuring the action is properly discontinuous.
-
D.
isMaximalHyperbolicTriangleGroup
Indicates that a group is a hyperbolic triangle group that cannot be properly contained in any larger hyperbolic triangle group with the same defining properties.
-
E.
fundamentalGroup
Indicates the relationship that assigns to a topological space its fundamental group, capturing how loops in the space can be continuously deformed into one another.
- 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_69f76e6c63e48190b1d0c3a79a6c7406 |
completed | May 3, 2026, 3:49 p.m. |
| NER | Named-entity recognition | batch_69f7c83f5960819089610ed39c839678 |
completed | May 3, 2026, 10:12 p.m. |
| PD | Predicate disambiguation | batch_69f7c477a4d481908f52e55b6688f60c |
completed | May 3, 2026, 9:56 p.m. |
| PDg | Predicate description generation | batch_69f7c776b4088190bef550c869da530d |
completed | May 3, 2026, 10:08 p.m. |
Created at: May 3, 2026, 4:11 p.m.