Triple
T26254985
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | PSL(2,ℤ/Nℤ) |
E656691
|
entity |
| Predicate | isFiniteSimpleGroupFor |
P160153
|
FINISHED |
| Object | N = p prime, p ≥ 5 |
—
|
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: N = p prime, p ≥ 5 | Statement: [PSL(2,ℤ/Nℤ), isFiniteSimpleGroupFor, N = p prime, p ≥ 5]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isFiniteSimpleGroupFor Context triple: [PSL(2,ℤ/Nℤ), isFiniteSimpleGroupFor, N = p prime, p ≥ 5]
-
A.
isSmallestNonAbelianSimpleGroupWith
Indicates that a group is the smallest non-abelian simple group possessing the specified additional property or structure.
-
B.
isSimpleAsLieGroup
Indicates that a given Lie group has no nontrivial connected normal subgroups, i.e., it is simple in the sense of Lie group theory.
-
C.
isPerfectGroup
Indicates that the group satisfies the definition of a perfect group, typically meaning it is equal to its own commutator subgroup (has no nontrivial abelian quotient).
-
D.
isFinitelyPresented
Indicates that a mathematical object (such as a group, module, or algebra) can be completely specified by finitely many generators and finitely many defining relations between them.
-
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.