N.J. Stat. § 42:2A-16.1
If any instrument filed with the Secretary of State under any provision of this act is an inaccurate record of the limited partnership action therein referred to, or was defectively or erroneously executed, the instrument may be corrected by filing with the Secretary of State a certificate of correction executed by a general partner. The certificate of correction shall specify the inaccuracy or defect to be corrected and shall set forth the correction. The instrument so corrected shall be deemed to have been effective in its corrected form as of its original filing date except as to persons who actually relied in good faith upon the inaccurate portion of the certificate and who are adversely affected by the correction. As to these persons, the correction shall be effective as of the effective date of filing of the certificate of correction. Such filing shall only be made if the Secretary of State consents to the filing.
N.J.S. § 42:2A-16.1