I recently had a male sexual partner and participated in receptive anal intercourse. The condom was on the whole time and there was no break; I tested the condom afterwards with water as well. However, my partner removed the condom at the end to ejaculate on my back and anus. There was no penetration after the ejaculation. I'm worried some of the semen may have touched my anus and the recently shaved portions of my skin and this is the source of my concern for exposure.

Will also add that the partner stated he had recently tested negative a few weeks ago but when asked to provide proof, refused to do so.

Welcome to our Forum.  Thanks for your questions.  I'll be glad to comment.  This was a low risk exposure.  While taking PEP is a personal choice, I would probably have not chosen to take it.  Your partner said he was not HIV infected and most people tell the truth, even if he was unwilling to show you the report.  More importantly, you used a condom throughout the encounter and conoms reduce the risk of HIV transmission 95-99% when used correctly.  Thus, if your partner had untreated HIV (unlikely) and a condom had not been used (this was not the case), then your risk of acquiring HIV would be less than 1% and with a condom, the risk is substantially less than 0.1% (less than in a thousand, probably closer to 1 in 10,000)---