Triple
T23234988
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Lie algebroid |
E581260
|
entity |
| Predicate | usedIn |
P98
|
FINISHED |
| Object | Poisson geometry |
—
|
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: Poisson geometry | Statement: [Lie algebroid, usedIn, Poisson geometry]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Poisson geometry Context triple: [Lie algebroid, usedIn, Poisson geometry]
-
A.
Poisson geometry
chosen
Poisson geometry is the branch of differential geometry that studies manifolds equipped with a Poisson bracket, generalizing classical Hamiltonian mechanics and symplectic geometry.
-
B.
Jacobi manifold
A Jacobi manifold is a smooth manifold equipped with a Lie bracket on its space of smooth functions that satisfies a generalized Leibniz rule, extending the notion of Poisson manifolds.
-
C.
Pfaffian systems
Pfaffian systems are collections of first-order differential equations expressed in terms of differential 1-forms that define geometric structures and constraints on manifolds in differential geometry and control theory.
-
D.
Symplectic Geometry and Fourier Analysis
"Symplectic Geometry and Fourier Analysis" is a mathematical work by Nolan Wallach that explores the interplay between symplectic geometry, representation theory, and Fourier-analytic methods.
-
E.
Kähler geometry
Kähler geometry is a branch of differential geometry studying complex manifolds equipped with a compatible symplectic form and Riemannian metric, leading to rich interactions between complex, symplectic, and Riemannian geometry.
- 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_69e2460556f88190be1744a84a84173f |
completed | April 17, 2026, 2:39 p.m. |
| NER | Named-entity recognition | batch_69f192e8c7548190b53434eeb2620a6e |
completed | April 29, 2026, 5:11 a.m. |
Created at: April 17, 2026, 4:09 p.m.