Triple

T7151378
Position Surface form Disambiguated ID Type / Status
Subject spin Casimir operator E166698 entity
Predicate definedInTermsOf P3573 FINISHED
Object Pauli–Lubanski pseudovector
The Pauli–Lubanski pseudovector is a relativistic quantum-mechanical operator that encodes a particle’s intrinsic spin and serves as the generator of internal angular momentum in representations of the Poincaré group.
E646032 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–Lubanski pseudovector | Statement: [spin Casimir operator, definedInTermsOf, Pauli–Lubanski pseudovector]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Pauli–Lubanski pseudovector
Context triple: [spin Casimir operator, definedInTermsOf, Pauli–Lubanski pseudovector]
  • A. Pauli
    Pauli was the commonly used name of Pauli Murray, a pioneering American civil rights activist, lawyer, Episcopal priest, and writer whose work influenced both the civil rights and women’s rights movements.
  • B. 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.
  • 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. Lorentz
    Lorentz is a Dutch surname most famously associated with physicist Hendrik Lorentz, a pioneer of electromagnetic theory and relativity.
  • E. Levi-Civita symbol
    The Levi-Civita symbol is an antisymmetric tensor used in mathematics and physics to represent orientations, cross products, and determinants in multiple dimensions.
  • 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–Lubanski pseudovector
Triple: [spin Casimir operator, definedInTermsOf, Pauli–Lubanski pseudovector]
Generated description
The Pauli–Lubanski pseudovector is a relativistic quantum-mechanical operator that encodes a particle’s intrinsic spin and serves as the generator of internal angular momentum in representations of the Poincaré group.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Pauli–Lubanski pseudovector
Target entity description: The Pauli–Lubanski pseudovector is a relativistic quantum-mechanical operator that encodes a particle’s intrinsic spin and serves as the generator of internal angular momentum in representations of the Poincaré group.
  • A. Pauli
    Pauli was the commonly used name of Pauli Murray, a pioneering American civil rights activist, lawyer, Episcopal priest, and writer whose work influenced both the civil rights and women’s rights movements.
  • B. 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.
  • 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. Lorentz
    Lorentz is a Dutch surname most famously associated with physicist Hendrik Lorentz, a pioneer of electromagnetic theory and relativity.
  • E. Levi-Civita symbol
    The Levi-Civita symbol is an antisymmetric tensor used in mathematics and physics to represent orientations, cross products, and determinants in multiple dimensions.
  • 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_69c68886779c8190a8e3fbabffe68253 completed March 27, 2026, 1:39 p.m.
NER Named-entity recognition batch_69c6e7f3e4a88190a3110f2368262528 completed March 27, 2026, 8:26 p.m.
NED1 Entity disambiguation (via context triple) batch_69c7adad45208190a8e09173a4d26591 completed March 28, 2026, 10:30 a.m.
NEDg Description generation batch_69c7aeb1c59c8190b02fcb731003ad31 completed March 28, 2026, 10:34 a.m.
NED2 Entity disambiguation (via description) batch_69c7af2ad8a081909185cfd3a3d4e4d0 completed March 28, 2026, 10:36 a.m.
Created at: March 27, 2026, 2:46 p.m.