What address to put in bibliography for Springer (and others)? Some publishers like Springer appear variously with different addresses.  Sometimes (in the case of Springer) it's "Berlin, Heidelberg", sometimes it's "Heidelberg, New York", or even "Berlin, Heidelberg, New York, London, Paris, Tokyo".

Should I, eg. in a thesis, just settle for one address per publisher and stick to it, or is there a different correct address for each publication?
It's better to put what is on the copyright page of the book in question. If you don't have it, then you may have to punt, but wherever you can use the full reference, you should.

Edited to add: The goal in a citation is to allow your reader to find the exact work that you used, so you need to be as precise as you can. If there are different editions, etc, they may have different publication locations, so make sure you described the physical volume you have precisely. If you don't have the physical version, then be sure to give your reader 50 years from now the ability, as best you can, to track it down.