Smith also blocked four shots and perpetrated three steals as Atlanta stayed hot with a fifth win in six games.
Zaza Pachulia helped out with a double-double of 12 points and 10 boards for Atlanta.
New Orleans, meanwhile, fell for the 13th time in 15 games despite five 3-pointers and 23 points from Ryan Anderson.
Greivis Vasquez contributed 17 and 10 assists, but it wasn't enough for the Hornets.
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