prepositions - "The fact of it being ..." vs "the fact of its being ..."

Which one of the following is correct/preferred?

This process is devised in such a way that it works automatically
while always revealing to the user the fact of it/its being
intact.

Both "the fact of it being ..." and "the fact of its being ..." can be frequently found on the web. But perhaps one should be correct/preferred.