Triple
T21277616
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | SO(n) |
E524430
|
entity |
| Predicate | isAbelian |
P26393
|
FINISHED |
| Object | true for 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: true for n ≤ 2 | Statement: [SO(n), isAbelian, true for n ≤ 2]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isAbelian Context triple: [SO(n), isAbelian, true for n ≤ 2]
-
A.
hasAbelianization
Indicates that one algebraic structure is related to the abelian group obtained by quotienting it by its commutator subgroup (its abelianization).
-
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.
isNonAbelian
chosen
Indicates that the operation or structure in question does not satisfy commutativity, so the order of applying the operation matters.
-
D.
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).
-
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.
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_69e0b516293c819089458ea2ec85f85e |
completed | April 16, 2026, 10:08 a.m. |
| NER | Named-entity recognition | batch_69e736583c08819087a4726538e703e2 |
completed | April 21, 2026, 8:33 a.m. |
| PD | Predicate disambiguation | batch_69e5f6161dac8190b06009cd180e3ff7 |
completed | April 20, 2026, 9:47 a.m. |
Created at: April 16, 2026, 4:02 p.m.