Preheat the oven to 375°F (190°C). Line two baking sheets with parchment paper, then lightly brush or spray the parchment with a thin layer of neutral oil to prevent sticking.
In a large bowl, whisk the egg whites and powdered sugar until smooth, glossy, and fully dissolved.
Add the cocoa powder, salt, and vanilla, then gently fold until combined. The batter should resemble thick brownie batter rather than cookie dough.
Fold in the chocolate chips.
Scoop about 2 tablespoons of batter per cookie, spacing them well apart as they spread.
Bake for 2 minutes at 375°F, then reduce the oven temperature to 350°F and continue baking for 8 to 9 minutes, until the tops are shiny and crackly and the centers are still soft.
Let the cookies cool on the baking sheet for 5 minutes, then transfer to a rack to cool completely.
Once cooled, spread about 1 tablespoon of pistachio butter onto one cookie and sandwich with another. Repeat with remaining cookies.
Notes
For the most dramatic crackly tops, make sure the sugar is fully dissolved into the egg whites before adding the dry ingredients. A stick blender works well for this.