I once worked with a PhD who claimed that basically any novel bit of coding was a "research problem", and thus not worth bothering. Using a hashtable to speed up an algorithm? Research problem. Using raw TCP instead of HTTP for a long running connection? Research problem. Implementing a graph algorithm you could read up on Wikipedia? Research problem. I think it was only when I solved three of those "research problems" in one week that he finally shut up.
But you actually don't have a proof you solved these tasks! Where is the arxiv preprint? Make sure all LaTeX is syntactically correct, and double-check that your chosen citation style is according to its latest edition!
