A network element includes circuitry and one or more interfaces. The interfaces are configured to connect to a communication network. The circuitry is configured to assign multiple egress interfaces corresponding to respective different paths via the communication network for routing packets to a given destination-address group, to hold, for the given destination-address group, respective state information for each of multiple sets of hash results, to receive via an ingress interface a packet destined to the given destination-address group, to calculate a given hash result for the packet and identify a given set of hash results in which the given hash result falls, and to forward the packet via one of the multiple egress interfaces in accordance with the state information corresponding to the given destination-address group and the given set of hash results.