Let the seeds cool completely before storing them because trapped steam softens the shells. Keep them in an airtight container at room temperature for 4 to 5 days, or refrigerate them for up to 7 days. For longer storage, freeze cooled seeds in a freezer-safe bag with as much air pressed out as possible. They'll keep for about 2 months, although the Parmesan coating can lose some of its original crispness after thawing. To refresh refrigerated or thawed seeds, spread them in one layer and heat at 300°F for 4 to 6 minutes. Then cool them for 5 minutes before serving so the cheese coating firms again. Don't add more oil during reheating because it can make the shells greasy. Discard the batch if you notice a rancid nut smell, unusual moisture, visible mold or a bitter stale flavor that wasn't present after roasting.