So, if guns are unloaded and neither it nor ammo are within reach there is no obligation to show your carry permit??
Loaded or unloaded has nothing to do with it in Nebraska.... The NE laws don't say anything about loaded or unloaded status.
If the gun is "on or about your person" meaning if it is somewhere nearby you in the vehicle then you have to inform the officer. If it is locked in the trunk then you would not have to inform them.
You do not have to "SHOW" an officer your concealed carry permit, unless the specifically ask you to do so. You DO HAVE TO TELL THEM THAT YOU ARE CARRYING THOUGH if you have the firearm on or about your person and it is concealed.
I always recommend to people in my concealed carry classes that EVEN IF YOU ARE NOT CARRYING, IT IS VERY WISE TO ADVISE THE OFFICER THAT YOU ARE A PERMIT HOLDER, however you ARE NOT CARRYING at the time. This way they aren't left "wondering" when they run your drivers license. You DO NOT HAVE TO TELL THEM ANYTHING IF YOU ARE NOT CARRYING, but it is wise to do so.