Place the eggs in a large pot and add cold water until it covers the eggs by 1-2 inches. Add the salt and vinegar and place the pot over high heat until it just reaches a rolling boil. Turn the heat off, put a lid on the pot, and set a timer for 12 minutes.
Fill a large mixing bowl at least halfway with ice. When there is about a minute left on the timer, add cold water until the bowl is 2/3 of the way full of water.
When the timer goes off, remove the eggs from the water with a slotted spoon or wok skimmer and place them gently into the ice bath. Leave the eggs in the bath for 10 minutes.
Remove the eggs from the bath and peel them, then rinse them in cold water to remove any remaining flecks of eggshell. Place the eggs on a large cutting board. Clean out the bowl that you used for the ice bath and dry out the inside thoroughly with paper towels.
Slice the eggs lengthwise and carefully pop the yolks out into the mixing bowl, reserving the whites. Add the mayonnaise and mustard to the yolks and mash them with a potato masher until it creates a chunky paste.
Chop the smoked salmon and add it to the yolks, using the potato masher to disperse the salmon. Add the capers and stir the mixture with a spoon, Add white pepper, as well as salt if necessary.
Fill each egg white with scant tablespoonfuls of the yolk mixture. Sprinkle the everything bagel seasoning evenly over the top of each deviled egg. Refrigerate until serving.
Macros per serving (2 egg halves): 116 calories, 0 grams net carbs, 8 grams protein, 9 grams fat.