Preheat the oven to 375 degrees Fahrenheit and lightly oil a 9-inch spring form pan (or cake pan).
Add the almond flour, tapioca flour, baking soda, sea salt, cinnamon, nutmeg, and cardamom to a large mixing bowl. Stir together until well-combined (dry mixture).
In a separate bowl, whisk together the oil, pure maple syrup, cider vinegar, grated ginger, vanilla bean scrapings (or vanilla extract), and shredded carrot (wet mixture).
Transfer the flax eggs and the wet mixture to the bowl with the dry mixture and stir well to combine. The batter should be very thick and pasty.
Transfer the cake batter to the prepared pan, and smooth it out to create an even layer.
Bake on the center rack of the oven for 32 to 36 minutes, or until cake tests clean. Allow cake to cool for 30 minutes.
Release the mold from the springform pan and gently transfer cake to a cutting board. Spread the vegan cream cheese frosting over the surface and sides of the cake and decorate with chopped pistachios. Cut slices and serve.