A cigarette includes an ignition element in contact with tobacco, surrounded by a composite outer wrapper. The outer wrapper is impervious to oxygen causing the tobacco to extinguish between puffs. The ignition element, however, has a longer static burn time than the tobacco and remains smoldering between puffs. Upon a subsequent puff, the smoldering ignition element re-ignites the tobacco. One or more initially-occluded perforations in the outer layer maintain the uniformity in combustion of the tobacco and the ignition element.