Uh Oh! Your grated Parmigiano Reggiano could contain more wood pulp than parmesan cheese, studies suggest. The FDA allows cheese to contain up to 4% cellulose. By Guest Writer Fiona MacDonald, ScienceAlert.com. Healthy Solution: Buy hard cheese and grate it yourself. Even better, try my dairy-free, vegan, Paleo Parmesan Cheese. You won't believe how delicious it tastes!! ...