Sturm cut it to 2-1 at 2:19 of the third period. Erik Gustafsson tried to bank a pass behind the net to Braden Schneider, but it was intercepted by Sturm, who quickly scored off the skate of Shesterkin.
"He's a hardworking player and an honest player," Blackwood said. "It's great to see him get rewarded like that."
Carpenter tied it 2-2 at 4:27 with a redirection of Rutta's one-timer from the right point.
"We stayed right there in the game," Hertl said. "Sure it was 2-0, but we had some chances and we just had to push a little harder because they have a lot of skill."
NOTES: It was Hertl's seventh career overtime goal. Only Brent Burns (10), Patrick Marleau (10) and Logan Couture (8) have more in Sharks history. ... Panarin scored his 17th road goal of the season, which is third in the NHL behind Sam Reinhart of the Florida Panthers (19) and Auston Matthews of the Toronto Maple Leafs (18).