In a saucepan, heat apple cider, pumpkin puree, peeled ginger, cinnamon sticks, bourbon and pumpkin pie spice on medium high heat. Bring to a boil, and reduce to simmer for five minutes.
Using a sieve, strain out the liquid into two cups and discard the ginger and cinnamon sticks.
Top the drinks with apple chips and a cinnamon stick for garnish.