Triple

T1006225
Position Surface form Disambiguated ID Type / Status
Subject Dirac equation E21718 entity
Predicate uses P98 FINISHED
Object 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.
E122318 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 spinors | Statement: [Dirac equation, uses, Dirac spinors]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Dirac spinors
Context triple: [Dirac equation, uses, Dirac spinors]
  • A. 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.
  • B. 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.
  • C. 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.
  • D. Dirac sea
    The Dirac sea is a theoretical model in quantum physics proposing an infinite "sea" of negative-energy electron states to explain the existence of antimatter and the behavior of relativistic electrons.
  • E. 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.
  • 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 spinors
Triple: [Dirac equation, uses, Dirac spinors]
Generated description
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.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Dirac spinors
Target entity description: 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.
  • A. 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.
  • B. 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.
  • C. 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.
  • D. Dirac sea
    The Dirac sea is a theoretical model in quantum physics proposing an infinite "sea" of negative-energy electron states to explain the existence of antimatter and the behavior of relativistic electrons.
  • E. 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.
  • 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_69a493c53e648190ae8cb76c433fd9a7 completed March 1, 2026, 7:30 p.m.
NER Named-entity recognition batch_69a4b51434f081909b301ad1c151af03 completed March 1, 2026, 9:52 p.m.
NED1 Entity disambiguation (via context triple) batch_69ac3ba7063c8190ba79e974cf38cdea completed March 7, 2026, 2:52 p.m.
NEDg Description generation batch_69ac3c41ab70819090084c508dbfd295 completed March 7, 2026, 2:54 p.m.
NED2 Entity disambiguation (via description) batch_69ac3cbb30d081909759df25c21eb275 completed March 7, 2026, 2:56 p.m.
Created at: March 1, 2026, 7:41 p.m.