N.Y. WKC Law § 46

§ 46. Information; penalty. The employee or his dependents, if so\nrequested, shall furnish the last employer or the board with such\ninformation as to the names and addresses of all his other employers\nduring the said twelve months, as he or they may possess; and if such\ninformation is not furnished, or is not sufficient to enable such last\nemployer to take proceedings against a prior employer under section\nforty-four, unless it be established that the disease actually was\ncontracted while the employee was in his employment, such last employer\nshall not be liable to pay compensation, or, if such information is not\nfurnished or is not sufficient to enable such last employer to take\nproceedings against other employers under section forty-four, such last\nemployer shall be liable only for such part of the total compensation as\nunder the particular circumstances the board may deem just; but a false\nstatement in the information furnished as aforesaid shall not impair the\nworkman's rights unless the last employer is prejudiced thereby.\n