Full Idea
The reference of a name in the actual world is fixed partly by invoking a set of persistence criteria which determine what thing it names.
Gist of Idea
Naming a thing in the actual world also invokes some persistence criteria
Source
Allan Gibbard (Contingent Identity [1975], III)
Book Reference
-: 'Journal of Symbolic Logic' [-], p.198
A Reaction
This is offered as a modification to Kripke, to deal with the statue and clay. I fear that the 'persistence criteria' may be too vague, and too subject to possible change after the origin, to do the job required.