A removable singularity in a suitable weak solution to the Navier-Stokes equations

We formulate a new criterion for regularity of a suitable weak solution v to the Navier-Stokes equations at the point (x(0), t(0)). We show that it is sufficient to impose conditions on the Serrin-type integrability of v and the associated pressure p in a parabolic neighbourhood of (x(0), t(0)), intersected with the exterior of a certain space-time paraboloid with the vertex at point (x(0), t(0)). We make no special assumptions on v or p in the interior of the paraboloid.