  We obtain a lower estimate for the Hilbert series of Jacobi algebras and
their completions by providing analogue of the Golog-Shafarevich-Vinberg
theorem for potential case. We especially treat non-homogeneous situation. This
estimate allows to answer number of questions arising in the work of
Wemyss-Donovan-Brown on noncommutative singularities and deformation theory. In
particular, we prove that the only case when a potential algebra or its
completion could be finite dimensional or of linear growth, is the case of two
variables and potential having terms of degree three.
