This case involved the Eighth amendment

Albert Trop was a natural born citizen of the United States who, while serving as a private in the United States Army in 1944, deserted from an Army stockade in Casablanca, Morocco. The next day, he willingly surrendered to an army officer and was taken back to the base, where he was subsequently court-martialed, found guilty, and sentenced to three years at hard labor, forfeiture of pay, and a dishonorable discharge.

In 1952, Trop applied for a passport, which was denied because the Nationality Act of 1940 provided that members of the armed forces of the United States who deserted would lose their citizenship. 

The Supreme Court has to answer the question, Is stripping a person of their citizenship a cruel and unusual punishment for desertion?