Spread a paper towel over a large platter. Arrange cucumber slices in a single layer atop the paper towel. Sprinkle 1/8 teaspoon salt over the cucumber slices; refrigerate at least 2 hours and up to 6 hours.
Mix sour cream, green onions, white sugar, apple cider vinegar, garlic, dill, paprika, 1/8 teaspoon salt, and black pepper together in a bowl; refrigerate at least 1 hour and up to 4 hours.
Pour sour cream sauce over the cucumbers and stir gently to coat.