Step 1: Preheat your oven to 350°F (175°C) and grease a 9x5 inch loaf pan or line it with parchment paper.
Step 2: In a medium bowl, whisk together the flour, ground pistachios, baking powder, and salt.
Step 3: In a large bowl, combine the sugar and lemon zest. Use your fingers to rub the zest into the sugar until fragrant.
Step 4: Add the eggs to the sugar mixture and whisk vigorously until pale and slightly frothy.
Step 5: Stir in the Greek yogurt, oil, lemon juice, and vanilla extract until well combined.
Step 6: Gradually fold the dry ingredients into the wet ingredients using a spatula until just combined. Do not overmix.
Step 7: Pour the batter into the prepared loaf pan and smooth the top. Sprinkle the chopped pistachios over the surface.
Step 8: Bake for 45-55 minutes, or until a skewer inserted into the center comes out clean.
Step 9: Allow the cake to cool in the pan for 10 minutes before transferring to a wire rack to cool completely.