I ran git cherry-pick <hash> and had merge conflicts. I don't want to resolve the conflicts, I just want to abort the cherry-pick. When doing an actual merge (with git merge) there's the handy git merge --abort. What's the equivalent of cherry-picking?

You can do the following

git cherry-pick --abort

From the git cherry-pick docs

--abort  

Cancel the operation and return to the pre-sequence state.