N.J. Stat. § 19:3-19
In the case of a delegate-at-large or district delegate to any national convention, whose election shall have been declared null and void under this Title, after a certificate of election has been issued to him, the Attorney-General shall transmit to such convention a certified copy of the judgment and determination of the court or judge declaring the election void, to the end that the certificate of election issued to the person having the next highest number of votes for such party position may be honored by the convention.
Any delegate-at-large or district delegate to any national convention to whom a certificate of election shall have been delivered, which certificate shall have been declared null and void after such delivery, shall, upon the service upon him of a certified copy of the determination of the court or judge declaring the certificate null and void, forthwith surrender such certificate to the Clerk of the Superior Court.
N.J.S. § 19:3-19