How long has the SS# been pending? The time frame we are talking about would affect the answer I give. Also, the company the SS# is pending with would affect my answer. For elin14, it sounds like it was only one conpany and I'm guessing she did the shop. For 87Supra, it sounds like numerous companies. Are we talking days, weeks? Did you just register with these companies? Did you register over the last 3 weeks, when staffing is down due to the holidays?
It's easy to say "go ahead - don't worry about it," but you haven't provided enough information for me to feel comfortable giving you that assurance.