Boil water in a small saucepan and add ½ teaspoon salt and ½ teaspoon baking soda. Carefully lower in the eggs and cook for 8 minutes.
Transfer eggs to a bowl filled with ice water and chill for 2 minutes.
Peel eggs and slice in half lengthwise. Remove yolks and set whites aside.
In a bowl, combine yolks, dill salsa verde, dill oil, olive oil, and a pinch of salt. Mash well with a fork until smooth and fully combined.
Spoon or pipe yolk mixture back into the egg whites.
Top with chives, flaky salt, and freshly ground white pepper. Serve chilled.