Anthony Mantha tied it 1-1 at 19:04 when he took a pass from Ville Koivunen and curled to the slot before scoring on a snap shot under the crossbar.
Rust scored on the power play to give Pittsburgh a 2-1 lead at 11:44 of the second period. Chinakhov made a diagonal pass from above the left circle to Rust, who roofed a shot from below the right circle.
Mark Jankowski tied it 2-2 at 2:49 of the third period. His shot from the slot hit Skinner in the mask, but Jankowski scored on a rebound in the low slot.
“When we have to play in our D-zone, we have to defend hard, and we've got to be good in front of our net,” Rust said. “When you’re playing against really good teams, there’s going to be momentum swings here and there. You obviously want to maximize yours.”
Jarvis gave the Hurricanes a 3-2 lead at 3:48. Svechnikov chipped the puck up the boards through the neutral zone, and Jarvis protected the puck and cut through the slot to score over Skinner’s glove.
“To come out like that and put our game on them was huge,” Jarvis said. “That game should have been put away, but a lot of credit to our ‘D’ and a lot of credit to our penalty killers."
Nikishin extended it to 4-2 at 11:21, one-timing a pass from Sebastian Aho on a 5-on-3. The rookie defenseman was playing on the top power-play unit with Shayne Gostisbehere out with a lower-body injury.
“It feels good playing on the first power play,” Nikishin said through Svechnikov’s translation. “You’ve got to expect everything because all the passes can come from anywhere and [you need to] be focused there.”