Whenever any notice signed by the Mayor, City Council, or any City officer or officers, or any advertisement, ordinance, resolution, or by-law shall have been published in some newspaper or newspapers or publicly posted under the provisions of the general law, this charter, or the ordinances thereby authorized, the Chief Administrative Officer shall examine and ascertain whether such notice, advertisement, or ordinance has been duly published or posted, and if such be the fact Chief Administrative Officer shall so certify upon the proper City record; and such record or a duly certified copy thereof shall be treated as prima facie evidence of the facts so certified.