Methods, apparatus and computer program products implement embodiments of the present invention that include storing one or more data volumes to a small computer system interface storage device, and receiving a request to map a given data volume to a host computer. One or more attributes of the given data volume are identified, and using the identified one or more attributes, a unique logical unit number (LUN) for the given data volume is generated. The given data volume is mapped to the host computer via the unique LUN. In some embodiments, the generated LUN includes one of the one or more attributes. In additional embodiments, the generated LUN includes a result of a hash function using the one or more attributes. In storage virtualization environments, the data volume may include secondary logical units, and mapping the given data volume to the host may include binding the SLU to the host.