Which of the following breeds of cavies is recognized by ARBA?

The American breed of cavies is recognized by the American Rabbit Breeders Association (ARBA) as one of the established breeds in competitive showing. This breed is known for its smooth, short hair and distinctively rounded body, making it a popular choice among exhibitors. The ARBA maintains standards for various breeds, and the American breed meets those criteria through its defined physical characteristics and temperamental traits suitable for showing.

While other breeds listed, such as English or Rex, are also recognized by ARBA, the focus here is on the American breed being established earlier and widely recognized in the show community. The term "Guinea," on the other hand, does not refer to a recognized breed within the ARBA standards, which is why that choice is not valid in this context.