New Zealand were 90 without loss, needing another 118 runs of a potential 23 overs to clinch the series in their favour, when the rain - that had continuously plagued the Test - eventually called an end to proceedings.
JB Watling gave the hosts the best possible start with a spirited half-century and his attacking style was complemented by a patient Tim McIntosh (23 off 54 balls).
Watling finished unbeaten on 60, his 61-ball innings included nine boundaries and one maximum.
Earlier, Pakistan were dismissed for 455, with brothers Umar and Kamran Akmal both recording half-centuries.
Part-time off-spinner Martin Guptill bagged three surprise wickets, and Tim Southee, Iain O'Brien and Daniel Vettori all took two wickets each.
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