  We obtain uniform asymptotics for deformed Airy kernel determinants, which
arise in models of finite temperature free fermions and which characterize the
narrow wedge solution of the Kardar-Parisi-Zhang equation. The asymptotics for
the determinants yield uniform initial data for an associated family of
solutions to the Korteweg-de Vries equation, and uniform lower tail asymptotics
for the narrow wedge solution of the Kardar-Parisi-Zhang equation.
