Triple
T5229463
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Dirac matrices |
E118071
|
entity |
| Predicate | usedToConstruct |
P3565
|
FINISHED |
| Object |
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.
|
E505997
|
NE FINISHED |
How this triple was built (4 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 Hamiltonian | Statement: [Dirac matrices, usedToConstruct, Dirac Hamiltonian]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Dirac Hamiltonian Context triple: [Dirac matrices, usedToConstruct, Dirac Hamiltonian]
-
A.
Dirac equation
The Dirac equation is a fundamental relativistic wave equation in quantum mechanics that describes spin-½ particles such as electrons and predicts phenomena like antimatter.
-
B.
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.
-
C.
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.
-
D.
Dirac Lagrangian
The Dirac Lagrangian is the relativistic quantum field theory Lagrangian density that describes spin-½ fermions, such as electrons, and leads to the Dirac equation as their equation of motion.
-
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. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg
Description generation
gpt-5.1
Instruction
Generate a one-sentence description of the target entity. You are given a context triple in the form (subject, predicate, object), where the object is the target entity. # Instructions Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. Avoid repeating the information from the triple, unless really essential. # Response Format Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Dirac Hamiltonian Triple: [Dirac matrices, usedToConstruct, Dirac Hamiltonian]
Generated description
The Dirac Hamiltonian is the relativistic quantum-mechanical energy operator for spin-½ particles, incorporating both special relativity and spin via the Dirac equation.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Dirac Hamiltonian Target entity description: The Dirac Hamiltonian is the relativistic quantum-mechanical energy operator for spin-½ particles, incorporating both special relativity and spin via the Dirac equation.
-
A.
Dirac equation
The Dirac equation is a fundamental relativistic wave equation in quantum mechanics that describes spin-½ particles such as electrons and predicts phenomena like antimatter.
-
B.
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.
-
C.
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.
-
D.
Dirac Lagrangian
The Dirac Lagrangian is the relativistic quantum field theory Lagrangian density that describes spin-½ fermions, such as electrons, and leads to the Dirac equation as their equation of motion.
-
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. chosen
Provenance (5 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_69bd4466fb8c819083b806a79414d7e4 |
completed | March 20, 2026, 12:58 p.m. |
| NER | Named-entity recognition | batch_69bd7ae006ec8190abd23f650ca5bf53 |
completed | March 20, 2026, 4:50 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69bef80ca924819095bcc729feb0e464 |
completed | March 21, 2026, 7:57 p.m. |
| NEDg | Description generation | batch_69bef8996a208190b9b84b297434c549 |
completed | March 21, 2026, 7:59 p.m. |
| NED2 | Entity disambiguation (via description) | batch_69bef935c2288190b2c66e25b8f065bd |
completed | March 21, 2026, 8:01 p.m. |
Created at: March 20, 2026, 1:48 p.m.