Triple
T5448924
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Dirac spinors |
E122318
|
entity |
| Predicate | innerProductDefinedBy |
P32719
|
FINISHED |
| Object | Dirac adjoint |
E504367
|
NE FINISHED |
How this triple was built (3 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: Dirac adjoint | Statement: [Dirac spinors, innerProductDefinedBy, Dirac adjoint]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Dirac adjoint Context triple: [Dirac spinors, innerProductDefinedBy, Dirac adjoint]
-
A.
Dirac adjoint field
chosen
The Dirac adjoint field is the spinor field obtained by taking the Hermitian conjugate of a Dirac spinor and multiplying by gamma^0, used to construct Lorentz-invariant bilinear quantities in relativistic quantum field theory.
-
B.
Dirac matrices
Dirac matrices are a set of matrices used in relativistic quantum mechanics to represent spin-½ particles and encode the algebra of the Dirac equation.
-
C.
Dirac operator
The Dirac operator is a fundamental first-order differential operator on spinor fields that generalizes the classical Dirac equation and plays a central role in geometry, topology, and quantum field theory.
-
D.
Dirac spinors
Dirac spinors are four-component mathematical objects in relativistic quantum mechanics that describe spin-½ particles, such as electrons, incorporating both their spin and particle–antiparticle degrees of freedom.
-
E.
Dirac field
The Dirac field is a quantum field describing spin-½ fermions, such as electrons and quarks, incorporating both special relativity and quantum mechanics.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: innerProductDefinedBy Context triple: [Dirac spinors, innerProductDefinedBy, Dirac adjoint]
-
A.
isSemidirectProductOf
Indicates that a group is constructed as a semidirect product of two subgroups, where one subgroup acts on the other via automorphisms in a way that generalizes the direct product.
-
B.
isCommonlyDefinedBy
chosen
Indicates that something is typically or most frequently characterized, specified, or described by a particular definition, property, or set of criteria.
-
C.
isIntegralFormOf
Indicates that one entity is the integral (indefinite integral or antiderivative) form corresponding to another entity, typically a derivative or differential expression.
-
D.
partlyDefinedBy
Indicates that one entity’s nature, role, or characteristics are only partially determined or specified by another entity.
-
E.
areDefinedIn
Indicates that the referenced entities are specified, described, or formally established within a particular source, context, or scope.
- F. None of above.
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_69bd4640f52c81909e653ec361f66d76 |
completed | March 20, 2026, 1:06 p.m. |
| NER | Named-entity recognition | batch_69bd95be329c81908783420cf81b6af5 |
completed | March 20, 2026, 6:45 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69bf413ab9d08190a00f007fbf0eb710 |
completed | March 22, 2026, 1:09 a.m. |
| PD | Predicate disambiguation | batch_69bd919e8d18819098c4af6a015e5cc2 |
completed | March 20, 2026, 6:27 p.m. |
Created at: March 20, 2026, 2:07 p.m.