Cut each 7-inch cucumber length in half crosswise to create 8 shorter pieces. Use a small spoon or an apple corer to carefully hollow out the seedy core of each piece, creating a tube. 2.
In a small bowl, mix your prepared sushi rice with the finely chopped mint. 3.
Using a wet spoon to prevent sticking, press about 2 tablespoons (30 ml / 1 fl oz) of the mint-sushi rice mixture into each hollowed-out cucumber, leaving space for the other fillings. 4. Spoon the Edamame Hummus into a piping bag or a plastic bag with the corner snipped off. Lay the cucumbers on their sides to prevent the filling from falling out, and squeeze a layer of hummus on top of the rice. 5. Gently slide a few carrot matchsticks and several pomegranate arils into each cucumber, using a chopstick to press them in. 6. Seal the open end of each cucumber roll with a final dollop of Edamame Hummus. 7.
Dip the blade of a very sharp knife in water.
Using a swift, gentle sawing motion, slice each filled cucumber tube into 2 or 3 bite-sized pieces. 8.
Garnish with extra pomegranate arils and serve immediately with Vegetarian Ponzu Sauce for dipping.
Don't overfill the cucumbers. Leaving a little room makes them easier to slice and prevents the filling from squeezing out.