Triple

T1006224
Position Surface form Disambiguated ID Type / Status
Subject Dirac equation E21718 entity
Predicate uses P98 FINISHED
Object 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.
E118071 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 matrices | Statement: [Dirac equation, uses, Dirac matrices]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Dirac matrices
Context triple: [Dirac equation, uses, Dirac matrices]
  • A. Gell-Mann matrices
    Gell-Mann matrices are a set of eight 3×3 traceless Hermitian matrices that serve as the generators of the SU(3) Lie algebra in quantum chromodynamics and other areas of particle physics.
  • B. 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.
  • C. S-matrix
    The S-matrix (scattering matrix) is a fundamental construct in quantum field theory that encodes the probabilities for transitions between initial and final particle states in scattering processes.
  • D. Feynman diagrams
    Feynman diagrams are graphical representations used in quantum field theory to visualize and calculate particle interactions and processes.
  • E. Lorentz group
    The Lorentz group is the mathematical group of spacetime symmetries in special relativity, consisting of all rotations and boosts that preserve the Minkowski spacetime interval.
  • 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 matrices
Triple: [Dirac equation, uses, Dirac matrices]
Generated description
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.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Dirac matrices
Target entity description: 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.
  • A. Gell-Mann matrices
    Gell-Mann matrices are a set of eight 3×3 traceless Hermitian matrices that serve as the generators of the SU(3) Lie algebra in quantum chromodynamics and other areas of particle physics.
  • B. 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.
  • C. S-matrix
    The S-matrix (scattering matrix) is a fundamental construct in quantum field theory that encodes the probabilities for transitions between initial and final particle states in scattering processes.
  • D. Feynman diagrams
    Feynman diagrams are graphical representations used in quantum field theory to visualize and calculate particle interactions and processes.
  • E. Lorentz group
    The Lorentz group is the mathematical group of spacetime symmetries in special relativity, consisting of all rotations and boosts that preserve the Minkowski spacetime interval.
  • 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_69ac2a21034081908ce6eb7d9827aba2 completed March 7, 2026, 1:37 p.m.
NEDg Description generation batch_69ac2a6dedb88190b2943c056d99e02f completed March 7, 2026, 1:38 p.m.
NED2 Entity disambiguation (via description) batch_69ac2ae2a5748190ba518f29d7564822 completed March 7, 2026, 1:40 p.m.
Created at: March 1, 2026, 7:41 p.m.