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  • Victor Mukhanov thinks this is interesting:

an IP address by which the router is uniquely identified within the OSPF domain


Cover of Routing TCP/IP, Volume 1, 2/e


It's not an IP address. It's an identifies of the node in the graph. This identifier happen to be derived from an IP address. OSPF routes towards nodes in the graph not towards prefixes. If it can route toward a node, it obviously can route towards prefixes which node owns.