<human>: I (24/m) have been seeing my girlfriend (24/f) for a little under a year now.  Here's the story:

We met on OKcupid and since becoming official we both simultaneously deactivated our accounts.  Cut to a couple days ago when I see a post on /r/OKcupid of a funny story regarding creepy posts, which reminded me of my own experiences dealing with weird messages on that site.  I just wanted to check up on it for ol' times sake only to remember that I deactivated my account.  This was on my smart phone.
That night she goes on my phone after I told her to look something up on it (we were trying to find directions to a restaurant), and notices that I tried to log onto OKc and only thinks that I am looking for others behind her back…which I'm obviously not.  I love this girl so much; she kinda has some trust issues that just became exacerbated by this incident.  I told her I had nothing to hide and she seemed leery but agreed.  I still feel like she doesn't trust my answer…and I want her to believe me.  She says she can only hope that I'm telling the truth and there's no way for her to know for sure unless I tell her…she hopes that I would be mature enough to tell her if I was doing something like that.  
Is there anything I can do to regain my gf's trust?

Could you distill the essence of the text into 1-3 sentences?
<bot>: Girlfriend saw something potentially incriminating on my phone that actually isn't, but I think she thinks it is...how can I solve it?