Triple
T7705289
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | SO(3) |
E174596
|
entity |
| Predicate | hasIrreducibleRepresentationsLabeledBy |
P78392
|
FINISHED |
| Object | non-negative integers l = 0,1,2,… |
—
|
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: non-negative integers l = 0,1,2,… | Statement: [SO(3), hasIrreducibleRepresentationsLabeledBy, non-negative integers l = 0,1,2,…]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasIrreducibleRepresentationsLabeledBy Context triple: [SO(3), hasIrreducibleRepresentationsLabeledBy, non-negative integers l = 0,1,2,…]
-
A.
hasIrreducibleRepresentationOfDimension
Indicates that an entity possesses an irreducible representation whose vector space has the specified dimension.
-
B.
hasFundamentalRepresentationDimension
Indicates the dimensionality of an entity’s fundamental (smallest nontrivial) representation in a given representation theory or algebraic context.
-
C.
hasConjugateFundamentalRepresentation
Indicates that one entity serves as the conjugate (dual) of the fundamental representation associated with another entity.
-
D.
hasMinimalFaithfulPermutationRepresentation
Indicates that there exists a faithful permutation representation of the structure (e.g., a group acting on a set) whose degree is minimal among all such faithful permutation representations.
-
E.
hasMinimalFaithfulLinearRepresentation
Indicates that there exists a faithful linear representation of the entity (e.g., a group) whose dimension is minimal among all its faithful linear representations.
- F. None of above. chosen
Provenance (4 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_69c6995b3e8c8190833108f883d5f53c |
completed | March 27, 2026, 2:51 p.m. |
| NER | Named-entity recognition | batch_69c70402169481909b219dc5f4a64b9b |
completed | March 27, 2026, 10:26 p.m. |
| PD | Predicate disambiguation | batch_69c70165e78c8190bf6b3c34e243cb81 |
completed | March 27, 2026, 10:15 p.m. |
| PDg | Predicate description generation | batch_69c7040091608190a9e46ecfb2ff0bca |
completed | March 27, 2026, 10:26 p.m. |
Created at: March 27, 2026, 4:03 p.m.