Thailand has its own vehicle temporary papers that are issued on arrival at the border.
Subject to local insurance you are normally granted import for the length of your visa (one, two or three month), up to a maximum of 6 months.
The overstay fine is 200 baht a day, with a maximum fine of 2,000 baht for up to 6 months overstay; plus a stern warning not to do it again, or you will lose your bike. I’ve seen a few warnings given out to other riders over the years, & it’s embarrassing to be around at the time!
Note that nothing is actually stamped in your passport. The Customs temporary import form is a separate document, recorded in the Customs computer, but not at all connected to the immigration computer.
Quite a few riders keep their bikes in the country on a temporary import, overstay up to 5 months, pay a 2,000 baht fine, take the bike out, ride back in again, to repeat the whole process yet again.
Note also that the temporary import form, signed by you, stipulates a huge fine (more than the bike is worth) should you not take the bike out as agreed.