Triple
T2912412
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Abelian group |
E63711
|
entity |
| Predicate | hasStructureTheorem |
P38252
|
FINISHED |
| Object | finitely generated Abelian groups decompose into direct sum of cyclic groups |
—
|
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: finitely generated Abelian groups decompose into direct sum of cyclic groups | Statement: [Abelian group, hasStructureTheorem, finitely generated Abelian groups decompose into direct sum of cyclic groups]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasStructureTheorem Context triple: [Abelian group, hasStructureTheorem, finitely generated Abelian groups decompose into direct sum of cyclic groups]
-
A.
hasTheorem
chosen
Indicates that one entity (typically a mathematical theory, field, or work) includes, establishes, or is associated with a particular theorem.
-
B.
hasCanonicalBasis
Indicates that there exists a standard or preferred basis associated with an entity, typically used as the reference basis in its context.
-
C.
hasStructureType
Indicates that an entity possesses or is classified by a specific structural type or configuration.
-
D.
hasLieAlgebra
Indicates that one mathematical structure is associated with, or gives rise to, a specific Lie algebra capturing its infinitesimal or tangent-level structure.
-
E.
isNonAbelian
Indicates that the operation or structure in question does not satisfy commutativity, so the order of applying the operation matters.
- 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_69ab4c44ab448190b9411324e8a1fc1d |
completed | March 6, 2026, 9:51 p.m. |
| NER | Named-entity recognition | batch_69abe0eb77708190b745b887f3b9a618 |
completed | March 7, 2026, 8:25 a.m. |
| PD | Predicate disambiguation | batch_69abdd1b77608190b20fc078fdb85e64 |
completed | March 7, 2026, 8:08 a.m. |
Created at: March 6, 2026, 10:11 p.m.