The oil, which parishioners believe to be myrrh, exudes from the icon's halo, wings, hands and beard. Collected every week by a reservoir of cotton at the base of the icon, Dimitriou regularly extracts the oil into a pitcher, then saturates cotton balls, which he seals in plastic bags for parishioners to take home and share with their loved ones. So far, he has handed out more than 5,000 samples — a handy way to track the flow of pilgrims.