For questions specifically for the Cortex-M3. Strongly consider the [cortex-m] tag instead or the [thumb] tag for Thumb/Thumb2 questions.
Please use cortex-m instead of this tag. See: Merge ARM tags.
For questions specifically for the Cortex-M3. Use the thumb tag for Thumb/Thumb2 question and the cortex-m tag for general Cortex-M questions. cortex-m is almost always appropriate as new Cortex-M cores may share features with the Cortex-M3. For general ARM questions please use the arm tag.
More information is available on the Cortex-M Wikipedia article.