Preheat oven to 350 degrees and line a 15x10 cookie sheet with parchment paper
Using a large mixing bowl, whisk together the flour, cocoa powder, baking powder, baking soda, pumpkin pie spice, ground cinnamon, and salt
Using another large bowl, whisk together the eggs and sugar until combined
Whisk in the vanilla and pumpkin puree until combined
Using a rubber spatula, fold in the dry ingredients until combined and smooth
Spread an even layer of batter onto the cookie sheet
Bake in the oven for 13-16 minutes or until the top of the cake springs back when lightly touched
As soon as the cake is pulled from the oven, do not hesitate in removing it from the pan and onto the counter
Using your hands, carefully roll the cake into a log
Place onto a wire rack to cool completely