Triple
T7151395
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | spin Casimir operator |
E166698
|
entity |
| Predicate | relatedConcept |
P37
|
FINISHED |
| Object | Poincaré algebra |
E31560
|
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: Poincaré algebra | Statement: [spin Casimir operator, relatedConcept, Poincaré algebra]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Poincaré algebra Context triple: [spin Casimir operator, relatedConcept, Poincaré algebra]
-
A.
Poincaré group
chosen
The Poincaré group is the fundamental symmetry group of special relativity, combining spacetime translations with Lorentz transformations in four-dimensional Minkowski space.
-
B.
Lorentz group
The Lorentz group is the mathematical group of spacetime symmetries in special relativity, consisting of all rotations and boosts that preserve the Minkowski spacetime interval.
-
C.
Heisenberg Lie algebra
The Heisenberg Lie algebra is a fundamental nilpotent Lie algebra generated by position and momentum operators with a central element, encoding the canonical commutation relations that underlie quantum mechanics and harmonic analysis.
-
D.
Galilean group
The Galilean group is the mathematical group of spacetime transformations—comprising translations, rotations, and Galilean boosts—that characterize the symmetries of classical Newtonian mechanics.
-
E.
Lie algebras
Lie algebras are algebraic structures used to study continuous symmetries, especially those arising from Lie groups, via a linearized, infinitesimal perspective.
- 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_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_69c7b8f42abc8190856210b8dea0a6de |
completed | March 28, 2026, 11:18 a.m. |
Created at: March 27, 2026, 2:46 p.m.