N.H. Rev. Stat. Ann. § 435:3

If any person who offers for hire the service of a stallion for breeding purposes neglects to make such certificate, or to have it recorded, he shall not be entitled to recover anything for the service of the stallion; neither shall he be entitled to recover for such service from a person to whom he has not given a copy of the certificate, unless he shows that the person had actual knowledge of the certificate at the time of the service.