The handicapper, who may be the racing secretary, shall assign the weights to be carried by each horse in a handicap. The handicapper shall append to the weights for every handicap the day and hour from which winners will be liable to weight penalty. If there are no penalties, that fact shall be appended to the weights. An alteration of weights may not be made after publication. In case of omission, through error, of the name or weight of a horse duly entered, the omission shall be rectified by the handicapper.