The US Supreme Court has put Lawrence v Blackwell on its conference calendar for June 1, Thursday. Conferences decide whether to hear certain cases. Results of that conference won’t be publicly known until Monday, June 5. Lawrence v Blackwell challenges the March 1 Ohio petition deadline (for office other than president). The 6th circuit upheld it, even though earlier, courts in 13 other states had struck down deadlines in April, May and June (for office other than president).
If the US Supreme Court accepts Lawrence v Blackwell, it will be the first time since 1991 that the Court accepted a ballot access case. That last case was Norman v Reed, an Illinois case won by the Harold Washington Party (an African-American Party that was trying to get on the ballot for partisan offices in Cook County, Illinois). Although that case won in the U.S. Surpreme Court, it only interpreted certain peculiar Illinois laws in a favorable manner, so it hasn’t been much use as a precedent elsewhere.