Before revision:  Equality and distributive justice can be achieved among people that own the computational agents of a currency community provided that the agents are genuine (unique and singular). We show that currency networks are sybil-resilient, in the sense that sybils (fake or duplicate agents) affect only the communities that harbour them, and not hamper the ability of genuine (sybil-free)communities in a network to achieve distributed justice.
After revision:  Specifically, we show that a sufficiently large intersection between two communities -- relative to the gap in their productivity -- will cause the exchange rates between their currencies to converge to 1:1, resulting in global distributive justice.