While trying to hang on to the spider I learned something which now seems pretty obvious. (One of those "why didn't I think of that before?" moments.) This spider kept putting its abdomen in the air and releasing silk. The wind would carry the silk until it touched something (like my hat) and stuck. Then the spider would crawl up the silk line. It was challenging to keep the spider on the stick I was carrying it with.
Location: Hillcrest Drive, Sitka, Alaska