[Amps] PIV requirement for identical, individual diodes used in a bridge rectifier configuration?

[David Feldman]

In my example, a 1600VAC transformer secondary is connected through bridge rectifier (built from 4 individual diodes each rated 2000V PIV; current is not a concern here) into a filter capacitor. Do I proceed as if the PIV is 4KV (due to two reverse-biased diodes in series), or if not, how do I determine the appropriate diode rating requirement?

Thanks very much for any references or suggestions,

Dave