PostTomato

Hi everyone! I just got accepted into my dream PhD program (!!) but I noticed that one of my publications listed as "submitted" in my resume (which I also mention in my SoP) when applying was actually NOT sent (although completed). My co-author was supposed to do it and got confused, and she though I was supposed to (&*?$). I just had a follow up with her and realized this - needless to say I am horrified, already seeing myself getting thrown out from the program if they find out, etc. Of course I have just submitted this paper the second I realized the situation! I received an unofficial email of acceptance last week and am still waiting for my official acceptance email. Please note that I also have other published work in my resume. I know you don't get accepted into grad school because of a "submitted" paper but... How bad do you think this is? Would it be somehow possible for them to withdraw their offer because of this? What are the chances that they find out the paper was submitted later than indicated (or should I tell them straight away, or would it make me look bad)? I am stressing a lot right now. Thanks for your help!!