Triple
T22382123
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | U(1) |
E553299
|
entity |
| Predicate | hasRepresentationTheory |
P140358
|
FINISHED |
| Object | all continuous irreducible unitary representations are 1-dimensional |
—
|
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: all continuous irreducible unitary representations are 1-dimensional | Statement: [U(1), hasRepresentationTheory, all continuous irreducible unitary representations are 1-dimensional]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasRepresentationTheory Context triple: [U(1), hasRepresentationTheory, all continuous irreducible unitary representations are 1-dimensional]
-
A.
hasRepresentationTheoryProperty
chosen
Indicates that a mathematical object’s representation theory satisfies a specified property or condition.
-
B.
inRepresentationTheory
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.
-
C.
hasRepresentationTheoryDevelopedBy
Indicates that the representation theory of one mathematical object or structure was developed or formulated by a particular person or group.
-
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.
hasConjugateFundamentalRepresentation
Indicates that one entity serves as the conjugate (dual) of the fundamental representation associated with another entity.
- 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_69e11e4c03248190a26a5060ea6973ee |
completed | April 16, 2026, 5:37 p.m. |
| NER | Named-entity recognition | batch_69f1582cce608190b5324b30f349a3ff |
completed | April 29, 2026, 1 a.m. |
| PD | Predicate disambiguation | batch_69e73015484c8190a9a0b9f554b61a81 |
completed | April 21, 2026, 8:06 a.m. |
Created at: April 16, 2026, 8:45 p.m.