Australia was in a commanding position despite a late batting collapse on the third day of the first Test against New Zealand at Perth Stadium on Saturday.
Having led by 250 runs on the first innings, the home side were 167 for six at stumps, with Matthew Wade on eight and Pat Cummins on one -- an overall lead of 417.
Cruising at 131 for one when Marnus Labuschagne (50) and Joe Burns (53) were at the crease, the Australians lost five for 29 under lights later in the day against some spirited short-pitched bowling from the Kiwis, with Tim Southee claiming 4-63.
Burns said the Australians were not too concerned by losing the late wickets.
"Really happy with where we are at, although it was disappointing to lose a few wickets tonight," he said.
"In the grand scheme of the game we're in a good position and in control of the game."
New Zealand batsman Ross Taylor said the fightback late in the day could prove important, regardless of the result of this match.
"There is a still a fair way to go in this Test match," he said.
"But the fight we showed bodes well for the rest of the series."
Labuschagne, dropped on four by Colin de Grandhomme from the bowling of Neil Wagner (2-40), missed the chance to join elite company when he pulled a short ball straight to Mitchell Santner at mid-wicket from the same bowler.
Without a Test century only a month ago, he was on track to become just the second Australian batsman, and fifth overall, to score four Test centuries in succession.
The only Australian to do so previously was Jack Fingleton in 1936.
Santner couldn't get a wicket with his spin, but he was the center of attention in the field, colliding with Aleem Dar late in the day and leaving the umpire with a knee injury.
Dar, umpiring in a record 129th Test match, spent several minutes lying on the ground and needed medical attention before returning to his post.
Smith's relatively lean summer continued when he holed out to a short ball from Wagner for 16, the first time in his entire 71-Test career he has gone three matches without a half-century.
After the home side made 416 the Kiwis were dismissed for only 166 in their first innings as Australian paceman Mitchell Starc terrorised their batsmen in continued sweltering conditions.
Australia didn't enforce the follow-on given the extreme heat and the absence of front line paceman Josh Hazlewood due to injury.
Starc claimed 5-52 and troubled the New Zealanders with his pace and bounce.
Only Taylor offered meaningful resistance with 80, but he was caught at slip by Smith off the bowling of Nathan Lyon.
Smith took three catches, including his blinder on the second day to remove Kane Williamson for 34 and end a 76-run third-wicket stand with Taylor.
His third was contentious, when de Grandhomme (23) was given out caught behind by Dar to hand Starc his fifth scalp.
De Grandhomme tried to fend off a rising delivery and the ball deflected off his helmet to Smith in slips, with Dar believing it also brushed the batsman's gloves.
The batsman reviewed and although replays showed no conclusive evidence of contact with his gloves, third umpire Marais Erasmus said there was insufficient grounds to overturn the dismissal and Dar's decision stood.