The leaves remind me of black mondo grass, Ophiopogon planiscapus, which has small white flowers, except the flowers of Mondo grass tend to be several, to 6 or more on a stem, and tend to point at the ground, not face up.
The flowers in your picture are a very good match for Claytonia virginica, but the leaves are not a good match. If the leaves are from the Claytonia they should get wider, more spoon shaped as the spring progresses.
I suspect you have both Claytonia and Ophiopogon in the same pot.
I like the black clay body by the way. Nice. Your design for the pot is very spare. Very understated. Nice