You are wrong by definition. Definition of "private property":
n. Property to which the state or other public organizations do not have exclusive property rights.
I don't need the government to define my stuff that I bought as mine. We don't need government to tell whose shit is whose. To say I need the government to defend my property or prove that it is mine just means you don't respect common sense or common law for that matter.
wrong
"private property is a legal designation for the ownership of property by non-governmental legal entities.[1] Private property is distinguishable from public property, which is owned by a state entity; and from collective (or cooperative) property, which is owned by a group of non-governmental entities.[2][3] Private property is further distinguished from personal property, which refers to property for personal use and consumption. Private property is a legal concept defined and enforced by a country's political system.[4]"