Vital Stats: The American Pit Bull Terrier is one of the so-called bully breeds often labeled a pit bull. In fact, pit bull isn't a breed, but a term used to describe the American Pit Bull Terrier, the Bull Terrier, the American Staffordshire Terrier, and the Staffordshire Bull Terrier.Some people say the American Pit Bull Terrier is the same as the American Staffordshire Terrier.n fact, pit bull isn't a breed, but a term used to describe the American Pit Bull Terrier, the Bull Terrier, the American Staffordshire Terrier, and the Staffordshire Bull Terrier. Some people say the American Pit Bull Terrier is the same as the American Staffordshire Terrier.