For what it's worth, some US train and bus timetables will totally write the arrival time as 00:37 or 12:37A. It's a localization thing.

For example, this Pacific Surfliner timetable [PDF] from Amtrack, where one train goes 11:36P -> 12:10A for one leg

https://www.amtrak.com/content/dam/projects/dotcom/english/p...

Here's a bus timetable [PDF] from Canada that goes 23:45 -> 00:00 -> 00:07: https://www.gotransit.com/static_files/gotransit/assets/pdf/...