Title hopefuls Celtic defeated Hearts thanks to a Reo Hatate stunner but were forced to survive a late storm from the hosts en route to a vital three points.
The Japanese international scored a pearler from distance in the first half before Giorgos Giakoumakis flicked home ahead of John Souttar to make it 2-0.
The first half was flawless but it was nerve-shredding for the visitors after Liam Boyce scored just after the hour, before the same player missed from the penalty spot as he watched open-mouthed as his spot kick cracked the inside of the post before trundling across the goal line.