Triple
T26191732
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | q-Onsager algebra |
E654981
|
entity |
| Predicate | hasRepresentationTheoryRelatedTo |
P102354
|
FINISHED |
| Object | U_q(sl_2) |
—
|
NE NERFINISHED |
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: U_q(sl_2) | Statement: [q-Onsager algebra, hasRepresentationTheoryRelatedTo, U_q(sl_2)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasRepresentationTheoryRelatedTo Context triple: [q-Onsager algebra, hasRepresentationTheoryRelatedTo, U_q(sl_2)]
-
A.
hasRepresentationTheoryProperty
Indicates that a mathematical object’s representation theory satisfies a specified property or condition.
-
B.
hasRepresentationTheoryDevelopedBy
Indicates that the representation theory of one mathematical object or structure was developed or formulated by a particular person or group.
-
C.
inRepresentationTheory
chosen
Indicates that one mathematical object is studied or characterized within the framework of representation theory, typically as a representation of a group, algebra, or related structure.
-
D.
hasUniqueIrreducibleUnitaryRepresentationUpToEquivalence
Indicates that there exists exactly one irreducible unitary representation of the entity (up to unitary equivalence), so any two such representations are equivalent.
-
E.
isProjectiveRepresentationOf
Indicates that one mathematical object represents another up to multiplication by scalar factors, preserving structure only up to a projective (rather than strictly linear) equivalence.
- 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_69ee5b469bc081908fe486453fdad810 |
completed | April 26, 2026, 6:36 p.m. |
| NER | Named-entity recognition | batch_69fd64bc86848190a49f451a8fc5cf1e |
completed | May 8, 2026, 4:21 a.m. |
| PD | Predicate disambiguation | batch_69fd5ff4a648819090756d90fd195d9a |
completed | May 8, 2026, 4 a.m. |
Created at: April 26, 2026, 8:44 p.m.