Yes, they are considered the 'American Bully'. My dogs are UKC registered as American Pitbull Terriers. Both the sire and the dam are , "correct" bullies. They are shorter than most APBT but not as short as a lot of "pocket bullies" which actually are close to what you have posted. They are APBT's with a bullier appearance. A lot of people like the game-bred pits better... and a lot of people prefer the American Bullies over the game-bred's. I'm not going to waste my time talking about it or convincing anyone which is better.. it ends up being like politics. If you want a badass dog that would make a great companion... buy one of my dogs. If you want to see the dogs come see them..... they are legit. These dogs cost up to $2500 sometimes $5000. For the pedigree (ancestry) you are getting an awesome deal!!