It could take weeks . . . to start. The AP reports:

It may take more than a month before any recount would even start in the state Supreme Court race that remains too close to call.
The Government Accountability Board has until May 15 to complete its canvas of the vote. No date has been set for the board to canvas the vote, which is dependent upon when the counties submit their results to GAB.
All 72 counties must begin to canvass the vote no later than 9 a.m. Thursday. The law gives them until 11 days after the election to submit those results to GAB.
Once the GAB completes its canvas of the vote, candidates have three days to request a recount.