They were 154/6 when the umpires called the day's play to a close, trailing England by 113 runs.
Ponting compared the spell with the one England's Steve Harmison bowled during the famous 2005 Ashes series, in which he hit Australian openers Matthew Hayden and Justin Langer before leaving the former skipper with a cut on his face.
Labuschagne had an interesting day.
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Stokes, who came in to bat at No. 5 in the 19th over, resumed from 16* in the morning. The batsman stood his ground as the umpires referred the catch to the third umpire to check it was taken cleanly with a soft signal of "out".
Archer's first ball to Labuschagne, a bouncer that sailed over the batsman's head, was called wide.
England's captain Joe Root foreshadowed that Paine would be receiving more of the same in the remainder of the series, and said he had been trying to corner his opposite number into hitting out against Archer, given the paceman's hostility and a field setting that made it hard to simply play defensively at the short stuff.
With Australia now holding the Ashes urn, the English need to win two of the final three tests to take it off its fierce rivals.
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Paine also managed to stay defiant in talking up his team's performance when incessant questions on Archer's impact on Test debut were inevitably fired at him. He was a permanent menace, taking 2-59 off 29 overs in the first innings and then 3-32 off 15 overs in the second.
"We were, absolutely (happy for Smith to bat again)". Bancroft however did not last long after tea as he was pinned dead on the back foot off a Jack Leach delivery.
England pushed hard, even when the fading light meant Archer had to be taken out of the attack, with Burns nearly swooping to take a brilliant catch at silly point, but Head and Cummins (1no) stood firm and Australia keep their noses in front as the Ashes moves north over the next couple of weeks. Australia looked in a spot of bother before Travis Head and Labuschagne added 85 for the fourth wicket to revive the Australian innings.
Australia was sent back in and had to survive 48 overs after England declared at 5-258.
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England stepped on the gas after the lunch break, with Stokes and Bairstow (30*) playing in T20 mode as they looked to put Australia under pressure with a big second innings total.