Preheat oven to 375 degrees and line to baking sheets with parchment paper.
In a medium sized bowl, combine the flour, baking soda, vanilla instant pudding mix and salt then set the bowl aside.
In a large bowl, cream together the butter, peanut butter, vanilla bean paste and sugar until fluffy and well incorporated.
Beat in eggs one at a time into the peanut butter mixture. Once combined, slowly add the flour mixture and mix well.
Using a tablespoon, scoop the dough and roll into one inch balls.
Place the balls about two inches apart on the baking sheet. Using a fork, lightly press down on the peanut butter balls to flatten them out.
Place the baking sheet in the refrigerator for 15 min-30 minutes to chill.
Place them in the oven and bake for 7-9 minutes.
Once removed from the oven, move the cookies to a wire rack and allow them to cool completely.