Triple
T23837083
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | SO(2,d-1) |
E590883
|
entity |
| Predicate | hasUnitaryRepresentationsUsedIn |
P140358
|
FINISHED |
| Object | classification of fields on AdS_d |
—
|
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: classification of fields on AdS_d | Statement: [SO(2,d-1), hasUnitaryRepresentationsUsedIn, classification of fields on AdS_d]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasUnitaryRepresentationsUsedIn Context triple: [SO(2,d-1), hasUnitaryRepresentationsUsedIn, classification of fields on AdS_d]
-
A.
hasUniqueIrreducibleUnitaryRepresentationUpToEquivalence
Indicates that there exists exactly one irreducible unitary representation of the entity (up to unitary equivalence), so any two such representations are equivalent.
-
B.
hasRepresentationTheoryProperty
chosen
Indicates that a mathematical object’s representation theory satisfies a specified property or condition.
-
C.
isUnitary
Indicates that an entity (such as an operator, matrix, or transformation) preserves inner products and norms, typically meaning its inverse equals its adjoint (or conjugate transpose).
-
D.
hasIrreducibleRepresentationOfDimension
Indicates that an entity possesses an irreducible representation whose vector space has the specified dimension.
-
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_69e25d1de32c8190a907afe9c3d6cd6d |
completed | April 17, 2026, 4:17 p.m. |
| NER | Named-entity recognition | batch_69f1c883c7108190b3cce6fec0b8609a |
completed | April 29, 2026, 8:59 a.m. |
| PD | Predicate disambiguation | batch_69f156036ad48190bc2ffdaf39218bcb |
completed | April 29, 2026, 12:51 a.m. |
Created at: April 17, 2026, 8:07 p.m.