Preheat oven to 180°C / 355°F. Grease and line a 20cm / 8 inch cake tin.
Sift the wholemeal flour, matcha powder, baking powder and soda into a bowl. Pour the pistachio crumb into the sieve. Using a spoon, press any clumps through the sieve. Tip the leftover bran into the bowl with the dry ingredients. Whisk the dry ingredients to combine.
Separate the egg whites, add them to a medium bowl and set aside. Add the egg yolks, Greek yogurt, extra virgin olive oil, maple syrup and vanilla extract to a large mixing bowl. Whisk until combined.
Grate the zucchini using a box grater, place it into a tea towel or cheesecloth and twist to extract as much liquid as possible. Add 1 cup of blotted zucchini to the wet ingredients and stir to mix.
Tip the dry ingredients into the bowl with the wet ingredients. Using a rubber spatula, mix until roughly 70% combined.
Add the cream of tartar to the egg whites. Beat the egg whites on medium speed until stiff peaks form.
Gently fold the fluffy egg whites into the pistachio matcha cake mix, while combining the rest of the unmixed dry ingredients. (Note 5)
Pour the pistachio matcha cake mix into the lined cake tin, and smooth the surface with either a cake palette knife or spatula. Bake the cake for 45 - 50 minutes or until a toothpick inserted into the centre comes out without batter on it.
Allow the cake to cool in the tin for 10 minutes, then turn out onto a cake rack to finish cooling. The top of your cake may sink slightly after a few minutes of being out of the oven, but it should level out.