Triple
T21047029
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | affine group of R^n |
E518474
|
entity |
| Predicate | hasTrivialCenterFor |
P77136
|
FINISHED |
| Object | n ≥ 2 |
—
|
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 ≥ 2 | Statement: [affine group of R^n, hasTrivialCenterFor, n ≥ 2]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasTrivialCenterFor Context triple: [affine group of R^n, hasTrivialCenterFor, n ≥ 2]
-
A.
hasTrivialCenter
chosen
Indicates that the group’s center consists only of the identity element, meaning it has no nontrivial elements that commute with all others.
-
B.
hasTrivialAbelianization
Indicates that the group’s abelianization is trivial, meaning its commutator subgroup is the whole group and it has no nontrivial abelian quotient.
-
C.
isNilpotent
Indicates that an algebraic structure (typically a group, ring, or matrix) has some power or iterated operation that results in the identity or zero element, satisfying the definition of nilpotency.
-
D.
hasAbelianization
Indicates that one algebraic structure is related to the abelian group obtained by quotienting it by its commutator subgroup (its abelianization).
-
E.
hasLowerCentralSeries
Indicates that a group is equipped with (or satisfies the existence of) a lower central series, i.e., a descending sequence of normal subgroups where each term is the commutator of the previous term with the whole group.
- 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_69e0b50438e08190917e2538bb8bc034 |
completed | April 16, 2026, 10:08 a.m. |
| NER | Named-entity recognition | batch_69e6fcf4d26481908b639996500a8319 |
completed | April 21, 2026, 4:28 a.m. |
| PD | Predicate disambiguation | batch_69e5dbf6728881908a2a43a5c8804a2a |
completed | April 20, 2026, 7:55 a.m. |
Created at: April 16, 2026, 2:34 p.m.