Peel and finely dice 400 grams of carrots. Place in a saucepan with water, sugar, honey, and salt. Bring to a boil and cook until water evaporates and carrots are sweet and translucent. About 25 minutes.
Cool and then add 50 grams of almond nibs
Grate the remaining 200 grams of carrots. Use the smallest hole in the grater. Place in cheesecloth and squeeze the carrots to remove the juice. Add dried carrots to a bowl and add the remaining 50 grams of almond nibs
Preheat oven to 350℉
In a stand mixer, whip egg whites and sugar into stiff peaks. Once stiff, remove from stand mixer bowl and set aside.
In same mixer (you don't have to clean it first) add softened butter. Cream butter on medium speed until light in color. 3-4 minutes. Scrape down and cream 1 minute more.
Add vanilla extract and add yolks one yolk at a time while the mixer is running on low. Roughly 30 seconds for each yolk.
While still on low speed, add grated carrots and the cooked diced carrots. About 3 minutes.
While mixing, sift all purpose flour and baking powder in a small bowl.
Add the butter mixture into a big bowl. Alternate between flour mixture and the whipped egg whites until everything is combined and you see no dry bits. Don't overmix.
Pour into cake pan. Tap lightly to pop any large air bubbles.
Bake for 60-70 minutes. Use a cake test to make sure it's baked through.
Let cool on a wire rack until warm. Serve with greek yogurt and lemon zest.