Before revision:  For the out-degree distribution, whose top nodes form the foundation of the entire network, the initial condition for a dynamic model, evolving towards a steady scale-free frequency distribution of nodes, determines the finite limit to the number of top nodes that the mature out-directed network can have  .
After revision:  For the out-degree distribution, whose top nodes form the foundation of the entire network, the initial condition for a dynamic evolution also corresponds to the limiting count of rich nodes that the mature out-directed network can have .