In a food processor, combine flour and salt. Add cold cubed butter and pulse until the mixture resembles coarse crumbs. Gradually add ice water, 1 tablespoon at a time, until the dough comes together.
- Gather the dough into a ball, flatten into a disc, and wrap in plastic wrap. Refrigerate for at least 30 minutes.
- In a large pan, heat olive oil over medium heat. Add the thinly sliced potatoes, cook for 5-7 minutes until they soften. Season with salt, pepper, and chopped thyme (or rosemary). Set aside to cool.
- Preheat oven to 375°F (190°C). Roll the chilled dough on a floured surface into a 12-inch circle and transfer to a parchment-lined baking sheet.
- Arrange the cooked potatoes in concentric circles on the dough, leaving a 1-2 inch border around the edges. Fold the dough edges over the potatoes to form a rustic border.
- Bake in the preheated oven for 30-35 minutes, until the crust is golden and the potatoes are tender.
- Once out of the oven, scatter arugula over the top and drizzle with crème fraîche. Garnish with lemon zest if desired. Serve warm or at room temperature.