Evaluate the sociological and political definitions related to constitutional frameworks:
1. The existence of either a written or unwritten constitutional text is an absolute prerequisite for a socio-cultural group to be classified as a 'nation'.
2. The primary mechanical function of a constitution is to explicitly allocate sovereign power and specify who is authorized to make societal decisions.
3. The constitutional text serves as a foundational baseline of operational rules that facilitate minimal, peaceful coordination among diverse societal members.
4. The adoption of a constitution successfully imparts a unified, overarching political and moral identity to its designated citizenry.