The left-handed opener kept one end intact as New Zealand recovered from a precarious 47-3 after Pakistani spinner Zulfiqar Babar (2-50) and paceman Rahat Ali (2-10) had jolted them in the morning session.
At the break BJ Watling was not out on 13 as New Zealand still need 181 runs to avoid the follow-on after Pakistan put up a big 566-3 declared in their first innings.
Rahat had Anderson bowled after lunch while Jimmy Neesham was stumped off Mohammad Hafeez for 11.
Babar, who took 16 wickets in the 2-0 rout of Australia last week, dismissed Brendon McCullum (18) with a sharp turner for a slip catch and then had Ross Taylor (nought) out in a similar fashion.
In between Rahat had Kane Williamson (three) bowled off an inside edge to leave New Zealand struggling at 47-3.
McCullum survived a confident leg-before appeal against paceman Imran Khan when on 12 and Pakistan's review against umpire's decision was also wasted.
But Babar provided the break-through with his subtle variation.
Rahat has taken 2-10 with eight of his 11 overs maiden.
The remaining two Tests of the series will be played in Dubai (November 17-21) and Sharjah (November 26-30).
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