Meh, centralized time keeping is overrated.
Time keeping without centralization is a paradox
Time keeping is easy, just buy an atomic clock. Time synchronization is the challenging part, but that's merely a means to an end.
there is no global time on earth
Correct, neither in the universe.
Not really hard. You define one clock as the truth and that's it, we've been doing it for a long time and it works great.