Triple
T22382135
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | U(1) |
E553299
|
entity |
| Predicate | isUnitaryGroupOf |
P147448
|
FINISHED |
| Object | 1-dimensional complex Hilbert space |
—
|
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: 1-dimensional complex Hilbert space | Statement: [U(1), isUnitaryGroupOf, 1-dimensional complex Hilbert space]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isUnitaryGroupOf Context triple: [U(1), isUnitaryGroupOf, 1-dimensional complex Hilbert space]
-
A.
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).
-
B.
isAutomorphismGroupOf
Indicates that a group is the full automorphism group consisting of all structure-preserving bijections (automorphisms) of a given mathematical object.
-
C.
hasUniqueIrreducibleUnitaryRepresentationUpToEquivalence
Indicates that there exists exactly one irreducible unitary representation of the entity (up to unitary equivalence), so any two such representations are equivalent.
-
D.
unitsFormGroupIsomorphicTo
Indicates that the group formed by the units (invertible elements) of one algebraic structure is isomorphic, as a group, to the group formed by the units of another structure.
-
E.
isMaximalSymmetryGroupOf
Indicates that a group represents the largest possible symmetry group for a given object or structure, such that no strictly larger symmetry group of that object exists containing it.
- 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_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. |
| PDg | Predicate description generation | batch_69e73597b51c8190aeff27f4779b82f3 |
completed | April 21, 2026, 8:30 a.m. |
Created at: April 16, 2026, 8:45 p.m.