Okay, I’m mostly guessing on the guest star, but it sure looks like Sketchbook Pro to me. 20 fake bonus points* to anyone who can correct me or name the version.
Unless N-Trig has changed up their branding, this also confirms the T580 uses the battery-powered pen, not the battery-free one. I did make the effort of finding AAAA batteries in the drug store recently and realize concerns over weight and battery availability are likely overblown. As far as accuracy and sensitivity goes, well, you can see for yourself.
*Fake bonus points are redeemable for real bonus points on a one-to-one ratio. Real bonus points are redeemable for whatever you can imagine but only if it stays within your imagination.