The win takes New Zealand to the top of the ICC Test Rankings, for the first time since the inception of the concept, with 117 ratings.
New Zealand set Pakistan 373 to win after leading by 192 on the first innings and declaring its second innings at 180-5, shortly before tea.
Rizwan came to the crease when Pakistan was 52-5 during a morning session in which it lost four wickets for 32 runs. He left when it was 186-7 in the final session
Williamson led the way with a masterful 129 on the second day as New Zealand put up a total 431 despite being 13/2 in the first 11 overs.
Williamson helped New Zealand take control on Day 2 of the first Test against Pakistan in Wellington on Sunday, scoring a masterful 129
Williamson made 129, his 23rd test hundred, and shared century partnerships with Ross Taylor and Henry Nicholls as New Zealand made 431 batting first after losing the toss.
Williamson, the New Zealand captain, came to the crease after only three balls had been bowled in the day’s play. He faced an early test as the Pakistan seamers held the upper hand after winning the toss.
With his 55th fifty-plus score, he also equalled Australia's Steve Smith, in the all-time list standing to stand in the 37th position.
As Shadab is not available for, at least, the Boxing Day Test, the team management has included left-arm spinner Zafar Gohar as a reinforcement.
Rizwan, who smashed 10 fours and three sixes during his 59-ball inning, was adjudged the Player of the Match while Seifert was declared the Player of the Series.
The 49-year-old will rejoin the national side in time for the home series against South Africa, which starts with the first Test in Karachi on January 26.
Live Streaming Cricket New Zealand vs Pakistan 3rd T20I: Find full details on when and where to watch NZ vs PAK 3rd T20I Live Online on FanCode.
Williamson finished 57 not out in his return to the short format as New Zealand overtook Pakistan’s total of 163-6 with four balls to spare.
With the impetus Duffy gave its bowling performance, New Zealand had Pakistan 5-39 and restricted it to 153-9 after the tourists won the toss and batted.
The Black Caps defeat the visitors by an innings and 12 runs early on the fourth day of the second Test to grab the first spot in rankings for the first time in history.
New Zealand won the second Test at the Basin Reserve by an innings and 12 runs inside the first hour of the fourth morning on Monday.
Kyle Jamieson took five wickets to leave West Indies struggling at 124/8 on day 2, after New Zealand put a total of 460 in the first innings.
Put into bat, the Black Caps reached 294/6 at Stumps with Nicholls and Kyle Jamieson remaining unbeaten.
Will Young will return for his second Test and bat at number three while Tom Latham will lead the Black Caps, head coach Gary Stead confirmed on Thursday.
Both are set to return to the Caribbean: Roach due to the death of his father, and Dowrich for personal reasons.
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