Preheat the oven to 450°F.
Bring a large pot of water to a boil and add in the sea salt.
Boil the fingerling potatoes for 8-10 minutes or until fork tender.
Spread out the potatoes on a parchment-lined baking sheet. Use a rolling pin to smash them down thinly. Make sure each potato has enough room, none should overlap.
Drizzle the potatoes with olive oil and the juice from one lime. Season with a bit of salt.
Roast the potatoes at 450°F for 15 minutes. Flip and roast for an additional 15 minutes.
While the potatoes are roasting, use a microplane to freshly grate the cheese into a fluffy pile. A microplane is best for this task, but a food processor will also work.
When the potatoes are out of the oven, top them with the juice from the second lime. Taste and season as needed.
To serve, pile the potatoes on a large plate and gently sprinkle the cheese on top. It will be a lot of cheese, but that's the point! Grate fresh black pepper on top and serve!