Propose such an assumption, and justify it. One earthquake a day? One earthquake a week? One earthquake a year?
Whatever the number, a date can be determined using exponential processes, something you implied as not possible.
The implication is yours. I said you couldn't determine a time origin from the process. Obviously, if you have some additional information - if you know the rate at the time origin, so that you have a monotonic function f(t) = x, and you know x, you know t.
Not my bag, nor my theory but I'll see if I can dig up something for you.