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We consider the problem of determining the presence of genuine multipartiteentanglement through the violation of Mermin's Bell-type inequality (MI).Though the violation of MI cannot certify the presence of genuine nonlocality,but can certify genuine tripartite entanglement whenever the violation isstrictly greater than $2\sqrt{2}$. Here we show that MI suffices as genuineentanglement witness even when its value is $2\sqrt{2}$ if at least two of thelocal marginal distributions are not completely random provided the localHilbert space dimension of at least one of the sub-systems is two. Thus localmarginals suffice as semi-device independent genuine entanglement witness. Thisis intriguing in a sense, as the local properties of a composite system canhelp to identify its global property. Furthermore, analyzing another quantityconstructed from Mermin polynomials we show that genuine entanglementcertification task for the correlations with MI violation equal to $2\sqrt{2}$can actually be made fully device independent.

Local marginals ameliorate device independent witnessing of genuine entanglement