Triple
T23470648
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Rudolf Peierls' 1952 paper on commutation laws of relativistic field theories |
E569216
|
entity |
| Predicate | propertyShown |
P41649
|
FINISHED |
| Object | Peierls bracket satisfies the Jacobi identity under suitable conditions |
—
|
NE NERFINISHED |
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: Peierls bracket satisfies the Jacobi identity under suitable conditions | Statement: [Rudolf Peierls' 1952 paper on commutation laws of relativistic field theories, propertyShown, Peierls bracket satisfies the Jacobi identity under suitable conditions]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Peierls bracket satisfies the Jacobi identity under suitable conditions Context triple: [Rudolf Peierls' 1952 paper on commutation laws of relativistic field theories, propertyShown, Peierls bracket satisfies the Jacobi identity under suitable conditions]
-
A.
Peierls bracket
chosen
The Peierls bracket is a covariant generalization of the Poisson bracket used in quantum field theory and classical field theory to define commutation relations in a way that respects spacetime causality.
-
B.
Jacobi bracket
The Jacobi bracket is a bilinear operation generalizing the Poisson bracket in differential geometry, central to the theory of Jacobi manifolds and Hamiltonian systems.
-
C.
Poisson bracket
The Poisson bracket is a fundamental mathematical operator in classical mechanics and symplectic geometry that encodes the time evolution and mutual relationships of dynamical variables in Hamiltonian systems.
-
D.
Moyal bracket
The Moyal bracket is a mathematical operation in phase-space quantum mechanics that generalizes the classical Poisson bracket to describe quantum corrections in the evolution of quasiprobability distributions.
-
E.
Courant algebroid
A Courant algebroid is a geometric structure generalizing Lie algebroids that combines a vector bundle with a bracket, anchor map, and bilinear form, and plays a central role in generalized complex geometry and string theory.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Provenance (2 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_69e2458ebd808190b3298163132cfb0b |
completed | April 17, 2026, 2:37 p.m. |
| NER | Named-entity recognition | batch_69f1a6ff8dc0819086961b1f07030d9c |
completed | April 29, 2026, 6:36 a.m. |
Created at: April 17, 2026, 5:54 p.m.