  We study the multi-time distribution in a discrete polynuclear growth model
or, equivalently, in directed last-passage percolation with geometric weights.
A formula for the joint multi-time distribution function is derived in the
discrete setting. It takes the form of a multiple contour integral of a block
Fredholm determinant. The asymptotic multi-time distribution is then computed
by taking the appropriate KPZ-scaling limit of this formula. This distribution
is expected to be universal for models in the Kardar-Parisi-Zhang universality
class.
