Before answering the question in our title, let’s start with a few confusing definitions. A puppy resulting from a mating between a male and female both listed in the registry of a particular breed of canine is a purebred of that breed. However, the same puppy might also be a crossbred of individual types or strains within the breed. Or the pup might be a carefully-bred example of one specific type or strain within the breed. Notwithstanding the possible permutations, this same puppy remains a purebred (so-called) of the breed.