So far I don’t think the SCOTUS has requested nor has indicated Obama needs to show proof. I think the respond thing is for his attorneys to respond with anthing they wish such as motions, etc.
After Obama is elected via the EC then that is one thing but prior if Obama should drop out I’m not sure. I know that the DNC has authority to replace him as the Democratic Party nonimee up to some point. That point is which I don’t know where is located along the process time table.
The DNC cannot replace Zero at this point.