Triple
T26255009
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | SL(2,ℤ) |
E656692
|
entity |
| Predicate | fundamentalDomainForActionOn |
P77181
|
FINISHED |
| Object | upper half-plane ℍ |
—
|
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: upper half-plane ℍ | Statement: [SL(2,ℤ), fundamentalDomainForActionOn, upper half-plane ℍ]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: fundamentalDomainForActionOn Context triple: [SL(2,ℤ), fundamentalDomainForActionOn, upper half-plane ℍ]
-
A.
fundamentalDomain
chosen
Indicates that one entity is a fundamental domain for the action of another (such as a group or transformation), meaning it is a minimal region whose images under that action cover the entire space without overlapping interiors.
-
B.
hasFundamentalDomain
Indicates that a mathematical object (such as a group action or tiling) is associated with a fundamental domain that represents a minimal region whose copies under the given symmetries cover the entire space without overlaps.
-
C.
governsActionBy
Indicates that one entity exercises control, authority, or regulatory power over the actions or behavior of another entity.
-
D.
actsOnBehalfOf
Indicates that one entity performs actions or makes decisions as a representative or proxy for another entity.
-
E.
controlDomain
Indicates that one entity has authority over, manages, or regulates the scope, behavior, or operations of another entity or system.
- 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_69f5f7ff548c8190a23e98c5e66e0bc7 |
completed | May 2, 2026, 1:11 p.m. |
Created at: April 26, 2026, 9:08 p.m.