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.