Unproven. No one knows-there has been absolutely no research to assess this. I found a discussion group where one person said it helped: http://www.Inspire.Com/groups/skin-conditions/discussion/recommended-treatment-center-for-livedoid-vasculopathy/ however, anecdotes like this do not mean it will help you, and I do not know why it would help, but apple cider vinegar is safe to try. Please see my comment:.
Livedoid vasculopath. There is no proof that brown, or any color for that matter, apple cider vinegar can help with this condition.