On appeal, Carl’s case made it to the Supreme Court (Braden v. United States, 1961), which ruled that Braden’s conviction was constitutional, although this was later overturned.
This sentence is not correct, Braden v. United States (1961) was not about about Braden's conviction for sedition in Kentucky. The Kentucky conviction was overturned in 1956. The Supreme Court case was about Braden's conviction for refusing to answer questions before the House Un-American Activities Committee. This conviction was not overturned. https://en.wikipedia.org/wiki/Braden_v._United_States
Electric Ladyland