My relationship is new,and my boyfriend already thinks i was sleeping around?

am so hurt,before we started this relationship I told him about the ual abuse I faced when i was younger.He told me that he understands,but still feels that I did sleep with someone else.its a long distant relationship,and we both need to trust each other greatly.He said he loves me so much,i should pardon his jealousness.Lately he has been hearing stories,which are not true.Some guy claiming to have kissed me.I'm totally hurt please help me,i need advise