Thursday is a work day with no schedule check required. The way I read it, you'll simply go on long call at the later of nine hours after your scheduled block in on your phantom flight back to base (the one on which your per diem is based) or 0001 on Friday.

All that said, the Company has waived the requirement for a last non-fly-day schedule check, as that requirement would interrupt a pilot's rest coming off of his X-day.