Information from the Social Security Administration is available online. It is possible for F-1 students who will work on campus to apply for and receive a US social security number. To apply, please take these materials with you to the social security office (Federal Building/Post Office, 657 2nd Avenue N, #320, Fargo, ND 58102, 701.239.5607):
Aida Martinez-Freeman may be able to assist you with this process.
While a social security number may be handy and desirable for many reasons, only F-1 students who will work are eligible to apply for and receive a card.