A dog bred by crossing an American Pit Bull Terrier with a Chow Chow is a hybrid or designer dog. As of August 2014, this cross is not recognized by the Designer Dogs Kennel Club or the American Canine Hybrid Club, according to Dog Breed Info Center .

Designer or hybrid dogs differ from mixed-breed dogs or mongrels in that their ancestry is known. Hybrids are the result of crossing purebred parents from two different breeds with the goal of producing puppies with desirable characteristics from both. A breeder can continue to select for desirable traits while breeding hybrids to each other or back to either of the parent breeds; but the puppies do not have any ancestry outside the two parent breeds. Mixed-breed dogs can resemble a hybrid-type dog, but they have a more random genetic background; therefore, they are not as likely to produce a consistent type if bred.