  DQ-algebroids locally defined on a symplectic manifold form a 2-gerbe. By
adapting the method of P. Deligne to the setting of DQ-algebroids we show that
this 2-gerbe admits a canonical global section, namely that every symplectic
manifold admits a canonical DQ-algebroid quantizing the structure sheaf. The
construction relies on methods of non-abelian cohomology and local computations
in the Weyl algebra. As a corollary we obtain a classification of symplectic
DQ-algebroids.
