A Petit Basset Griffon Vendeen is a dog that is considered a pedigree because the population of the breed is rather small and controlled breeding is applied to the breed. This is to ensure that the dog remains as pure as its ancestors and retains the original qualities of the breed, whether in temperament or physical aspects. A purebred Petit Basset Griffon Vendeen is a dog that was born from two dogs of the same breed which were also born from a couple of dogs with the same breed and so on and so forth. This kind of controlled breeding is often what breeders do to ensure that they are indeed breeding purebred dogs. Only a purebred Petit Basset Griffon Vendeen qualifies for pedigree papers.
What are pedigree papers in the first place? These are actually registration papers that you get for registering your dog or puppy with the AKC or the American Kennel Club. The process of registering your dog for pedigree papers is not that complicated. All you have to do is notify AKC that you wish to register your Petit Basset Griffon Vendeen and pay a registration fee. If your dog comes from a family that is registered with the club, meaning that its parents, grandparents, and other ancestors are in the club's database, your dog will then be registered as a bona fide pure bred puppy.
There have been arguments concerning the accuracy of the records that are being sent to the AKC regarding the breed of certain dogs. Some unscrupulous people sometimes pass off mixed breed pups as pure bred and register them as such. This kind of activity has recently led to the DNA testing of some pups before registration approval to ascertain that they are indeed from purebred parents. Not all breeders participate in this unethical practice though, so you may want to find a breeder who can make sure that the puppy you get is from parents of the same breed.
Registering your Petit Basset Griffon Vendeen may assure you that your dog is indeed from parents that come from the same breed, but it does not assure you of its quality. Quality is found in the individual lines of each individual breeder, and to find a good quality dog, you will need to exact a search for a good breeder who has a reputation for breeding good quality dogs. Registration and pedigree papers are simply a way for you to show that your dog is indeed from a couple of parents that are of the same breed and it is by no means a guarantee that your dog is quality dog.
If you are debating on whether or not you should register your dog for pedigree papers, there are not that many reasons why you should or should not. You can register your dog for the simple sake of its being registered with the AKC as a pure bred dog, as long as you are certain of this. Other than that, some people view registration as an added expense to an already expensive dog like the Petit Basset Griffon Vendeen.