Before revision:  Our main theorem shows that a currency network, where agents can be members of more than one currency community, can achieve distributive justice globally across the network by joint egalitarian minting , where each agent mints one coin in only one community at each timestep.
After revision:  Our main theorem shows that a currency network, where agents can be members of more than one currency community, can achieve distributive justice globally across the network by , where each agent mints one coin in only one community at each timestep.