§ 225. Registration of race horses. The true name, sex and age, and also the pedigree, unless such pedigree is unknown, of every horse, mare, gelding, colt or filly shall be registered with the jockey club, United States trotting association, American quarter horse association, the national steeplechase and hunt association or such other entity as the commission may designate before it shall be eligible to compete in any race conducted under a license or franchise of the commission and such name shall continue to be its true name unless and until the same shall be changed according to the rules and regulations of such organization. The class to which any such animal belongs for the purpose of the entry or competition in any race shall be determined by the public performance thereof in former contests or trials of speed, as prescribed by the printed rules of the person, association or corporation sponsoring such race.