I have a resource that has a counter. For the sake of example, let\'s call the resource profile, and the counter is the number of views
After evaluating the previous answers I decided PATCH was inappropriate and, for my purposes, fiddling around with Content-Type for a trivial task was a violation of the KISS principle. I only needed to increment n+1 so I just did this:
PUT /profiles/123$views
++
Where ++ is the message body and is interpreted by the controller as an instruction to increment the resource by one.
I chose $ to deliminate the field/property of the resource as it is a legal sub-delimiter and, for my purposes, seemed more intuitive than / which, in my opinion, has the vibe of traversability.