How to Make It
Put the rice in a large bowl and add enough warm water to cover by 2 inches. Let soak at room temperature for 2 hours, swirling occasionally. Drain well.
Meanwhile, in a medium saucepan, combine the coconut milk with the sugar, curry paste, lime zest, ginger, chile and salt and bring to a simmer over moderate heat, whisking to dissolve the curry paste and sugar. Strain through a fine sieve into a small bowl; discard the solids. Clean the saucepan.
In the saucepan, combine the drained rice with 2 1/4 cups of water and bring to a boil. Cover and simmer over low heat until the rice is tender and the water is absorbed, about 15 minutes. Transfer the rice to a large bowl and slowly drizzle the infused coconut milk on top. Fold the rice until the liquid is absorbed, then let stand for 15 minutes. Stir in the cilantro.
In a large nonstick skillet, heat the oil. Scrape the rice into the skillet, press it into an even layer and cook over moderate heat until the edge and bottom are golden and crisp, 12 to 15 minutes. Invert the rice onto a platter and serve.