Triple

T9637368
Position Surface form Disambiguated ID Type / Status
Subject Infeld–van der Waerden formalism E232967 entity
Predicate usesConcept P531 FINISHED
Object Pauli matrices E179974 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: Pauli matrices | Statement: [Infeld–van der Waerden formalism, usesConcept, Pauli matrices]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Pauli matrices
Context triple: [Infeld–van der Waerden formalism, usesConcept, Pauli matrices]
  • A. Pauli matrices chosen
    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.
  • 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. 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.
  • D. Pauli group
    The Pauli group is the set of all products of Pauli matrices (up to phase factors), forming a fundamental discrete group used to describe qubit operations in quantum mechanics and quantum computing.
  • 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_69ca848940cc8190b97cec654cb3bb4a completed March 30, 2026, 2:11 p.m.
NER Named-entity recognition batch_69cd9b5045cc8190ab717f42d803e010 completed April 1, 2026, 10:25 p.m.
NED1 Entity disambiguation (via context triple) batch_69d1823e32c48190a442b77a0f7c8180 completed April 4, 2026, 9:27 p.m.
Created at: March 30, 2026, 8:11 p.m.