  We study scaling limits of deterministic Jacobi matrices at a fixed point,
$x_0$, and their connection to the scaling limits of the Christoffel-Darboux
kernel at that point. We show that in the case that the orthogonal polynomials
are bounded at $x_0$, a subsequential limit always exists and can be expressed
as a canonical system. We further show that under weak conditions on the
associated measure, bulk universality of the CD kernel is equivalent to the
existence of a limit of a particular explicit form.
