The new pair of Ambati Rayudu (40 not out) and Dinesh Karthik (38 not out) showed no nerves and went about the business in their customary fashion.
Indian batsman and part time off break bowler Ambati Rayudu has been suspended by the ICC from bowling in worldwide cricket.
The part-time spinner was cited for a suspect action after the first ODI against Australia two weeks ago.
Former Test batsman Mark Waugh, who faced Muralitharan multiple times throughout his career, immediately noticed the similarity during the first ODI between Australia and India.
New Zealand were earlier dismissed for 243 from 49 overs, their third successive failure to last full 50 movers.
Trent Boult picked up the wickets of Shikhar Dhawan and captain Virat Kohli for 60.
Kohli then joined Sharma and the pair swatted the attack around the ground in their century stand for the second wicket. And once the 119-run stand was broken, Indian bowlers made regular breakthroughs to not let New Zealand have a shot at recovery.
New Zealand, taking a leaf from the India playbook, brought two spinners into the match after the tourists' spin twins Kuldeep Yadav and Yuzvendra Chahal took the bulk of the wickets in the first two matches.
Pandya, who is facing an inquiry for his loose talk during a TV show, did not get to bat in the third ODI against New Zealand on Monday but the 25-year-old bowled and fielded with objective, taking two crucial wickets and a brilliant catch.
"India have put us under pressure for long periods of time and got wickets at crucial times and in New Zealand if you're three or four down and there's still 25 overs to go you're still a long way behind the game and we fought hard today but it just wasn't good enough". The wicket was tough and the partnership between Latham and Ross was outstanding.
Hamilton hosts the fourth game in the series on Thursday.