  The classical Llarull theorem states that a smooth metric on $n$-sphere
cannot have scalar curvature no less than $n(n-1)$ and dominate the standard
spherical metric at the same time unless it is the standard spherical metric.
In this work, we prove that Llarull's rigidity theorem holds for $L^{\infty}$
metrics on spheres with finitely many points punctured. This is related to a
question of Gromov.
