A new mishnah! A convert who had a cow — and it was slaughtered before the conversion, no gifts to the kohen; if after the conversion, then the convert is obligated in the gifts. But if it’s not clear which happened first — then the convert would be exempt from giving those gifts. [Who’s Who: Rav Dimi] Plus, a contradiction raised by a different case — as based on the information provided by ant holes in grain to determine how long ago that grain was moved, and whether it was harvested after the gifts for the poor had been left. Also, more on the gifts to the poor — leket, shikchah, and pe’ah, and how they have different constraints/leniencies, as compared to terumah, which goes to the kohen.