Triple

T1580420
Position Surface form Disambiguated ID Type / Status
Subject Gell-Mann matrices E33749 entity
Predicate relatedTo P37 FINISHED
Object Pauli matrices
Pauli matrices are a set of three 2×2 complex Hermitian and unitary matrices that form a basis for the Lie algebra su(2) and are fundamental in describing spin-½ particles in quantum mechanics.
E179974 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: Pauli matrices | Statement: [Gell-Mann matrices, relatedTo, Pauli matrices]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Pauli matrices
Context triple: [Gell-Mann matrices, relatedTo, Pauli matrices]
  • 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. 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.
  • C. 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.
  • D. Pauli equation
    The Pauli equation is a non-relativistic quantum mechanical wave equation that extends the Schrödinger equation to include spin-½ particles interacting with electromagnetic fields.
  • E. 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.
  • 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: Pauli matrices
Triple: [Gell-Mann matrices, relatedTo, Pauli matrices]
Generated description
Pauli matrices are a set of three 2×2 complex Hermitian and unitary matrices that form a basis for the Lie algebra su(2) and are fundamental in describing spin-½ particles in quantum mechanics.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Pauli matrices
Target entity description: Pauli matrices are a set of three 2×2 complex Hermitian and unitary matrices that form a basis for the Lie algebra su(2) and are fundamental in describing spin-½ particles in quantum mechanics.
  • 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. 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.
  • C. 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.
  • D. Pauli equation
    The Pauli equation is a non-relativistic quantum mechanical wave equation that extends the Schrödinger equation to include spin-½ particles interacting with electromagnetic fields.
  • E. 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.
  • 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_69a885f27a4c8190a4622252cdf54c00 completed March 4, 2026, 7:20 p.m.
NER Named-entity recognition batch_69a908d78fe48190b155f85deca59639 completed March 5, 2026, 4:38 a.m.
NED1 Entity disambiguation (via context triple) batch_69ad4030dd408190af5423ca2a3507b7 completed March 8, 2026, 9:24 a.m.
NEDg Description generation batch_69ad42612ba08190b6eabae1a098a61c completed March 8, 2026, 9:33 a.m.
NED2 Entity disambiguation (via description) batch_69ad42edfa7c8190a23e9a31915db228 completed March 8, 2026, 9:35 a.m.
Created at: March 4, 2026, 7:27 p.m.