  Self-testing is a method to certify quantum states and measurements in a
device-independent way. The device-independent certification of quantum
properties is purely based on input-output measurement statistics of the
involved devices with minimal knowledge about their internal workings.
Bipartite pure entangled states can be self-tested, but, in the case of
multipartite pure entangled states, the answer is not so straightforward.
Nevertheless, \v{S}upi\'{c} et al. recently introduced a novel self-testing
method for any pure entangled quantum state, which leverages network assistance
and relies on bipartite entangled measurements. Hence, their scheme loses the
true device-independent flavor of self-testing. In this regard, we provide a
self-testing scheme for genuine multipartite pure entangle states in the true
sense by employing a generalized Hardy-type non-local argument. Our scheme
involves only local operations and classical communications and does not depend
on bipartite entangled measurements and is free from any network assistance. In
addition, we provide the device-independent bound of the maximum probability of
success for generalized Hardy-type nonlocality argument.
