There are distinctive marks on the left hand edge of the soap that occur when the soap is cut slightly soft (the soap must have been placed on it's side when it was cut - those drag marks occurs at the end of the cut, when the blade is lifted from the soap - some of the soap is raised, a bit like inverse stamping).
When the soap is soft, it is a little stickier, and tiny bubbles can be exaggerated if the soap is cut soft - the blade is dragging them open.
If you wait a little longer, before cutting, that can help, as does wiping your blade between cuts with a damp cotton teatowel. Dampening the blade slightly between each cut alleviates a lot of the drag (the slight residual moisture on the blade assists with the cut ... see chef video's cutting ganache to see the technique
). Sliding the blade from the soap, instead of lifting it off at the end, can also help.
PS. Because the soap is still fresh, you could slightly moisten a blade and run it backwards over the face of the soap - most of the imperfections will "disappear"