In the case of the death or withdrawal of any candidate nominated by a political body by nomination papers, the persons who signed the nomination paper, or a majority of them if such majority meets the requirement as to minimum number of signers, as prescribed in section 381 of this title, may nominate a substitute in his place by filing in the proper office a substitute nomination paper, executed in the manner and form prescribed by sections 381–384 of this title. Such substituted nomination paper shall be accompanied by an affidavit of the substituted candidate identical with that required under section 383 of this title, and by a verified statement, signed by all the persons signing the substitute nomination paper, setting forth the fact of the death or withdrawal of the candidate originally nominated. If the vacancy is caused by the death of a candidate, the substitute nomination paper shall also be accompanied by a death certificate, properly certified.