Triple
T26255032
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | SL(2,ℤ) |
E656692
|
entity |
| Predicate | congruenceSubgroups |
P160157
|
FINISHED |
| Object | Γ(N) |
—
|
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: Γ(N) | Statement: [SL(2,ℤ), congruenceSubgroups, Γ(N)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: congruenceSubgroups Context triple: [SL(2,ℤ), congruenceSubgroups, Γ(N)]
-
A.
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.
-
B.
hasParabolicSubgroupsCorrespondingTo
Indicates that one mathematical structure possesses parabolic subgroups that correspond in a defined way to elements or substructures of another entity.
-
C.
secondCongruenceModulus
Indicates that the second argument specifies the modulus with respect to which two values are congruent in a modular arithmetic relationship.
-
D.
thirdCongruenceModulus
Indicates that the third argument serves as the modulus with respect to which two other quantities are congruent.
-
E.
secondCongruence
Indicates that one entity is congruent to another with respect to a second, distinct congruence relation or modular equivalence condition.
- 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.