Publishing a package from AppVeyor to NuGet.org

In the last few months, I’ve been using AppVeyor CI on some of my open-source projects (along with Cake for the build scripts). I really like it, but one thing bothered me: I couldn’t find a way to manually publish packages to NuGet.org directly from AppVeyor. I had to download the package locally, then upload it manually from my machine (either with nuget push on the command line, or via the web form on NuGet.