COOL v2 is an object oriented persistent computing system for distributed programming. With COOL v2, C++ objects can be persistent and shared freely between applications and distributed across sites in a completely transparent manner from the programmer's point of view. To address the problem of maintaining distributed shared data coherency, data persistency and address allocation coherency the authors, developed the persistent context space model which encapsulates distributed shared memory and persistent memory, and controls distributed shared memory address allocation. The paper outlines existing solutions of object addressing in persistent and distributed environments and contrasts these with the persistent context space model and its integration in an operating system architecture.