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How to clean a pizza stone
Let your stone completely cool off.
Before handling, you should allow it to cool off in the oven for an hour, otherwise there's a possibility it could crack, especially if you expose it to cold air or water. Make sure that your stone cools to room temperature before you attempt to clean it.
If you must handle it when it is hot, use heat-resistant gloves so you do not burn yourself. Be sure any surface it is placed on is heat-resistant.