Preheat oven to 350°F/175°C. Spray a 9x13 baking pan or two 8-inch round pans with vegetable spray and/or line with parchment paper.
In a medium-size bowl combine the water, vinegar, oil, sugar, and pumpkin. Stir to combine. Set aside.
In a separate bowl, stir together the flour, cornstarch, salt, baking powder/soda, and spices. Whisk until well combined. Create a well in the middle of the flour ingredients.
Pour the pumpkin mixture into the bowl with the flour mixture. Use a whisk to stir until well-combined.
Pour the batter into the prepared cake pan and bake for about 35 to 40 minutes. Insert a tester in the center. If it comes out clean or mostly clean (with only a few crumbs), the cake is done. If not, return it to the oven and bake for another 5 minutes or so.
When the cake is done, remove it from the oven and allow it to cool completely before adding the Vegan Cream Cheese Frosting.
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Notes
For flour, you can use whole wheat pastry flour, gluten-free baking flour, or all-purpose flour.The nutritional estimate is based on the cake without the cream cheese frosting.