During a one year of postdoc of mine in pure mathematics, I didn't publish anything. I definitely did a research report and wrote down the main questions (in the form of conjectures) we were after and some ideas on how they could be solved. I'm now doing a new postdoc in an applied area as my next postdoc, and I was wondering whether it's okay/encouraged/discouraged/harmful to mention that research report in my list of publications/pre-prints. Clearly, it's just an expository report without proving any new results, which will never be published or even put on arXiv, but it does reflect the fact that I was not idle during my postdoc.
What do you think? Thanks!