Mix together 2 tbsp. baking soda with 2 tbsp. tap water in a small dish.
Apply a small amount of the baking soda paste to the white heat ring on the table.
Rub the baking soda paste around with your fingers or a clean cloth in a small circular motion until the white heat ring disappears. Continue around the entire heat ring until it is no longer prominent.
Apply wood wax to reseal the table.
Heat up a clothes iron to a warm setting. Do not heat higher than warm, as this may damage the finish on the table.
Place an old white t-shirt directly over the white heat ring.
Set the warm iron on the t-shirt, and iron in the direction of the wood grain. The white ring should start to disappear after several passes of the iron on the t-shirt.
Rub the white heat ring lightly with fine-gauge 4-0 steel wool in a small circular pattern. Continue until you have covered the entire heat ring.
Apply a small amount of mineral oil to a clean cloth and wipe the surface of the heat ring. Repeat several times to allow mineral oil to soak into the heat ring.
Finish by applying a coat of wood wax over the entire surface of the pine table. This will seal in the wood and protect the surface of the wood.