We present a numerical study of the nonequilibrium dynamics of the Sherring
ton-Kirkpatrick model. We analyze the behavior of the system for different
system sizes N and time scales t, in order to identify the correct out-of-e
quilibrium regime. We find evidence of aging behavior in the dynamics of th
e system, compatible with a weak-ergodicity breaking scenario. In addition,
we obtain a pictorial characterization of the out-of-equilibrium phase spa
ce that presents some analogies with the hierarchy of states found in equil
ibrium. [S1063-651X(98)03912-9].