Triple
T12026885
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | noncommutative geometry |
E286300
|
entity |
| Predicate | keyConcept |
P531
|
FINISHED |
| Object | Dirac operator |
E391906
|
NE 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: Dirac operator | Statement: [noncommutative geometry, keyConcept, Dirac operator]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Dirac operator Context triple: [noncommutative geometry, keyConcept, Dirac operator]
-
A.
Dirac operator
chosen
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.
-
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 Hamiltonian
The Dirac Hamiltonian is the relativistic quantum-mechanical energy operator for spin-½ particles, incorporating both special relativity and spin via the Dirac equation.
-
D.
dAlembert operator
The d'Alembert operator is a second-order differential operator used in relativistic wave equations to describe how fields propagate through spacetime.
-
E.
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.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
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_69d6ab4669e48190b59246358b0383ab |
completed | April 8, 2026, 7:23 p.m. |
| NER | Named-entity recognition | batch_69d903f02638819091e0cc0e93fa5ea7 |
completed | April 10, 2026, 2:06 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69f48b8111b88190a42a8904a2d26862 |
completed | May 1, 2026, 11:16 a.m. |
Created at: April 8, 2026, 9:47 p.m.