Except that you basically have a photograph to the deed of your house. The deed to your house is not normally considered a bearer certificate, so if you lose it, the property tax office can issue you another one.

In fact, your possession of the deed doesn't really entitle you to anything. While you assume that law enforcement would accept it as proof, they do not have to, and ultimately judges and the county registration system decides who owns what. And it's not even all that straightforward in some cases.

So sure, your deed to your house. Okay.