Another was Pakistan clubbing 179 runs in the final session, which was extended 30 minutes because umpires thought there could be a result.
Yet another was Mitchell Starc's heated exchange with Mohammad Amir in the 92nd over. The pair swapped verbals after Starc struck the tailender's pad with a 152.3 km/h full toss.
The standing umpire spoke with Starc, who appeared to respond "he just swore, I didn't swear".
Regardless of the final result, the visitors recorded a moral victory that should embolden them ahead of Tests at the MCG and SCG.
Pakistan's highest fourth-innings total in Australia was previously the 336 they made at the MCG in 1990, while they have also bettered England's 370 and achieved the highest fourth-innings Test total at the Gabba.
They have also batted 123 overs - only twice before have Pakistan occupied the crease for so long in the fourth innings of a Test.
Starc, Jackson Bird and Nathan Lyon shared the six wickets to fall on Sunday. None of them were able to complete the sort of easy victory that locals seemingly expected, given a crowd of just 4890 turned up.
Starc removed Azhar Ali, who faced 179 deliveries, in the second session then clean bowled Sarfraz Ahmed with the second new ball.
The left-armer also created a late chance when top-scorer Shafiq was on 72. Smith put down the regulation chest-high catch at second slip.
Starc failed to hide his disbelief. Smith, who later held a spectacular catch to dismiss Wahab Riaz in the final over, was as stunned as anybody.
Earlier, a severe thunderstorm forced an early - and extended - tea break.Australia bounced back after the wicket-less opening session, claiming the key wickets of Azhar, Younis Khan and Misbah-ul-Haq after tea.But they watched the visitors club 51 runs from the final half an hour of play, when Wahab and Shafiq teed off.