But, despite England holding the upper hand for two sessions on the final day, Root did not believe they could have done any more to win.
"He [Wagner] kept me going, there were some demons out there for sure", Sodhi said.
"I was trying to figure out which balls to play and which to get under and it started to become a bit hard through the middle period when the odd one would jump", he said.
It includes one against Bangladesh, five each against India and Australia, besides the two matches against NZ.
The pitch, by and large, continued its history of not deteriorating massively but for the eighth-wicket pair to soak up 31 overs was a magnificent effort along with the previous stand between Sodhi and Colin de Grandhomme which lasted 25 overs.
So ended the 18th day of test cricket this season.
England had still looked in a strong position to get the win they required to stymie New Zealand's hopes of a first series triumph against them since 1999 but bad light hindered their chances.
With the next ball, Broad gave Williamson a sighter outside the off stump but the New Zealand skipper made a decision to have a crack and the ball was edged to Jonny Bairstow behind the stumps.
Both Sodhi and Neil Wagner, defiant for 107 minutes, and taking bangs on the body at times, should wake up today quietly chuffed at what they achieved yesterday.
The hosts resumed on 42-0 but paceman Broad removed Jeet Raval (17) with his loosener before coming up with a peach of a delivery to take the key wicket Kane Williamson for a golden duck when the New Zealand captain edged behind.
"Root said that barring the first innings of the first test when England was dismissed for 58", it has been an incredibly close series and the most frustrating thing for us as a side is that we really let ourselves down in that innings".
"We didn't get off to the best start, first two balls we thought it could be a tough day".
Sodhi received a rapturous ovation from the crowd when stumps were pulled shortly after 6pm, and with New Zealand on 256-8 after 124.4 absorbing overs.
Vince's third Test 50 arrived just before tea, with another cover-drive off the leg-spin of Ish Sodhi for his ninth boundary, and Stoneman reached the milestone in early evening - with a cut over the top of the slips for his sixth four.
Ross Taylor (13) blocked to prevent a hat-trick but soon became spinner Jack Leach's first Test victim with a reverse sweep straight to Alastair Cook at short backward square.
Henry Nicholls couldn't add more than 13 to the total as the home side was left reeling at 91/4 in the first hour of the day.