To unlock the "Obristan Token" trophy in Papers, Please, you must obtain the token from serial fraudster and drug smuggler Jorji Costava.
Jorji will give you the Obristan Token only if you allow him entry into Arstotzka on Day 11 (December 3rd) or sooner. Day 11 is technically the best day to let him in, because his papers are actually correct. Letting him in before that (on days 3, 4, 6 or 8) will get you the token but also a citation.
Jorji appears again later than Day 11 but he will not give you a Token on these ocassions, even if you let him in.
Helping Jorji has no significant effect on your alignment with either EZIC or the Arstotzkan government.