Up to a day ahead, blitz the artichokes and their oil with the mint in a food processor until fairly smooth. Add crème fraîche, season, then briefly pulse. Add lemon juice. Tip into a small bowl, cover and chill.
To serve, heat the oven to 200C/fan 180C/gas 6. Tear the pittas into rough pieces and spread over a couple of baking sheets. Drizzle with oil and scatter over some sea salt. Bake for 7-10 mins until crisp.
Set the bowl of dip on a large platter; add lemon wedge and mint. Surround with pitta pieces.