Apply white baking soda toothpaste to the white heat mark in a thick layer on the table.
Rub the toothpaste into the ring until it feels warm. Rub along the grain.
Wipe the toothpaste off and repeat the process until the stain is gone or until it is as light as possible.
Add just enough cigarette ashes to 2 tablespoons lemon juice to make a thick paste if you can still see the heat mark.
Rub the paste into the heat mark with a piece of superfine steel wool. Rub along the grain until the stain is gone.
Rinse the area with clear water and dry it completely with a clean cloth.