A technique provides a remote serialization guarantee within a computerized system. The technique involves (i) receiving a serialization command from a first thread running on a first processor of the computerized system; (ii) running, on a second processor, a second thread up to a serialization point; and (iii) outputting a serialization result to the first thread in response to the serialization command. The serialization result indicates that the second thread has run up to the serialization point. Such operation enables the first and second threads to robustly coordinate access to a shared resource by the first thread incurring both the burden of employing a MEMBAR instruction and the burden of providing the remote serialization command when attempting to access the shared resource, and the second thread not running any MEMBAR instruction when attempting to access the shared resource to enable the second thread to run more efficiently.