Before revision:  The terminal value of an ASP has an Archimedean survival copula , and there exists a bijection from the class of ASPs to the class of Archimedean copulas.
After revision:  An ASP is defined over a finite time interval, is equivalent in law to a multivariate gamma process, and its terminal value has an Archimedean survival copula , and there exists a bijection from the class of ASPs to the class of Archimedean copulas.