Do PATH and Subways Have Train Numbers?

[Passaic River Rat]

...i.e. when a dispatcher calls a train, how does the train identify itself?

[GirlOnTheTrain]

For the subway it is whatever the departing terminal was and the time of departure...like Pelham 123 - except it should have been Pelham 1323. If you happen to have a scanner, you would hear RCC call "2250 South Ferry for radio check" etc all the time...which would be the the 10:50pm #1 train departure out of South Ferry for 242nd Street

[Kamen Rider]

B division also uses a phonetic for each line name as part of the call sign

IE "Delta Stillwell 14:23"

[GirlOnTheTrain]

Which for the record are:
Apple
Bravo- sometimes the Beyonce
Charlie
Delta - sometimes the dog.
Echo
Fox
Golf
Hotel - but they just call it the shuttle
Juliet
Larry
Mike
November but some people call it the Nancy.
Quebec but people call it Quincy sometimes, which sounds like Whiskey
Romeo
Whiskey