Triple
T26255021
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | SL(2,ℤ) |
E656692
|
entity |
| Predicate | isResiduallyFinite |
P160550
|
FINISHED |
| Object | true |
—
|
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: true | Statement: [SL(2,ℤ), isResiduallyFinite, true]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isResiduallyFinite Context triple: [SL(2,ℤ), isResiduallyFinite, true]
-
A.
isResiduallyFiniteImageOf
Indicates that one structure is the image of another under a homomorphism such that, for every nontrivial element in the source, some finite quotient of the image distinguishes its image from the identity (i.e., the image is residually finite relative to the source).
-
B.
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.
-
C.
isFinitelyGenerated
Indicates that a structure (such as a group, module, or ideal) can be generated by a finite set of elements under its defining operations.
-
D.
hasTrivialAbelianization
Indicates that the group’s abelianization is trivial, meaning its commutator subgroup is the whole group and it has no nontrivial abelian quotient.
-
E.
isAutomorphismGroupOf
Indicates that a group is the full automorphism group consisting of all structure-preserving bijections (automorphisms) of a given mathematical object.
- 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_69f602d2ec748190ae95154f34c7878f |
completed | May 2, 2026, 1:57 p.m. |
| PDg | Predicate description generation | batch_69f6037bf7a081908862a8359be80cf8 |
completed | May 2, 2026, 2 p.m. |
Created at: April 26, 2026, 9:08 p.m.