When a wealthy Roman landowner wanted, for example, a sculpture for the grounds of his villa, he would visit a stone mason, who in turn would visit the local quarry.
At the quarry, he may have got a great deal on marble somewhat flawed but still a great deal.
So when chipping away at his creation, a crack appeared or a limb / the head fell off, the mason rectified matters by smearing wax into the crack and covered it over with marble dust.
Then, when finished, he took the sculpture to the landowner who proudly displayed it at his villa. However, when the sun came out, the wax melted and the head fell off!
So the more reputable masons used to portray their honesty by inscribing the base of their statues with the words sine cera, which means without wax !
(Another source suggests that sincerely came into the English language from the Latin sincerus, meaning clean or pure.)