Preheat oven to 350°F. Grease an 8x8-inch square cake pan and line with parchment.
In a food processor, mix together the graham crackers, brown sugar, salt and butter. Pour the mixture into the prepared pan and press it out in an even layer. Bake for about 12 minutes, until it starts to color. Let cool on a rack.
In a stand mixer, beat the cream cheese on medium speed with the paddle attachment for about 1 minute. Scrape down the sides and mix for another 30 seconds. Add the brown sugar and mix for about 1 minute. Add the eggs one at a time, scraping down the sides after each. Add the pumpkin, sour cream, cinnamon, nutmeg, vanilla and salt. Mix for 30 seconds.
Pour the cheesecake mixture onto the cooled crust. Place the cheesecake in the oven on a cookie sheet that has about a 1/4-inch hot water in it. This will help the cheesecake bake evenly and have a silky texture. Turn the oven down to 325°F and bake for about an hour or until it is just set in the middle. Remove the cake from the oven and allow to cool to room temperature, then refrigerate for at least 3 hours.