San Antonio coach Gregg Popovich thought the game was lost in the third quarter, when the Spurs were "playing in mud."
The Spurs got quick offense in the first half and made 9 of 15 from 3-point range while shooting 55 percent overall.
Parker, who had been largely bottled up ever since the Thunder put 6-foot-7 defensive specialist Thabo Sefolosha on him in Game 3, had a hand in the Spurs' first 12 baskets, making seven on his own and assisting on the other five.
Kawhi Leonard and Jackson followed his three-point play by nailing back-to-back 3-pointers for a 34-16 advantage in the final 2 minutes of the first quarter.
The youthful Thunder stormed back with an 11-2 run to start the third quarter and eventually pulled ahead after Durant's 3-pointer from the top of the key made it 79-77 with 1:41 left in the period.
"We can't have their legs, their energy. We are never going to jump as high or run as fast," Ginobili said. "But the first half we did a great job, we just moved the ball to find teammates, made shots. In the second half, they were very active and we couldn't find anything easy."
Notes: Popovich, whose request for his team to play nasty led to T-shirts being made in San Antonio, said at the morning shootaround that his team needed to play "with a little bit of ugly." Not nasty? "I was trying to stay away from that word," he said. ... San Antonio had a 29-28 edge in the second quarter after getting outscored 138-106 in the period in the first five games — dropping more than six points per game. ... Greg Willard was scheduled to be one of the three officials but pulled out due to illness. Rodney Mott replaced him, alongside Joe Crawford and Bill Kennedy.
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