The answer to [this question](http://physics.stackexchange.com/questions/61243/why-is-einstein-gravity-not-renormalizable-at-two-loops-or-more/) and the comments on it implies that general relativity has not been rigorously shown to be non-renormalizable for all loop diagrams -- only shown for two loops. However, doesn't [this paper](http://arxiv.org/pdf/0709.3555v2.pdf) give a complete proof that GR is non-renormalizable without referring to the two-loop computation mentioned in the question's answer?