1. Preheat the oven to 475°F and line a baking sheet with parchment paper.
2. Rub the carrot in the olive oil, sprinkle it with salt generously, and then place it on the lined baking sheet.
3. Let the carrot bake for 15 to 20 minutes, until it's tender, and then remove it from the oven and let it cool.
4. While the carrot cools, combine the rice vinegar, smoked paprika, and lemon juice in a bowl to make a marinade.
5. Once the carrot is cool, thinly slice it with a knife or peeler, and place the carrot strips in the marinade bowl, tossing to coat.
6. Let the carrot strips marinate for 15 to 30 minutes in the fridge to absorb flavour.
7. Once marinated, remove carrot strips from the fridge, place them on the cream cheese-covered toast, and then finish with the red onion, capers, and dill.
8. Once the Vegetarian Lox Toast is fully compiled, dig in, and enjoy!