Ilusha, who had heard three days before that he was to be presented with a puppy, not an ordinary puppy, but a pedigree mastiff (a very important point, of course), tried from delicacy of feeling to pretend that he was pleased.
There are no more uses of "pedigree" in the book.
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Do you know the dog’s pedigree?
Unless you are an expert in the breed you are looking to buy, it’s unlikely that you, or any novice buyer, will be able to determine for yourself the quality of any untitled dogs in a pedigree.