I thought I would share this, to hopefully save new players/score submitters some heartache. Most smart phones and cameras, despite the size of the SD card (or other storage) you have in the device, record a maximum of 1 hour. Through trial and error with my work phone (samsung s4), personal phone (samsung s5), and (3) digital cameras, I found the max recording time for all to be one hour. On at least two of the cameras, they would only record higher res video for 30 minutes, and reducing the resolution so that they could record a full hour made in-game scoring unviewable.
1 hour of video will capture between upper-300k and 500k worth of gameplay. There would be nothing worse than having your best run ever, only to find that the video cut off after an hour and the whole run wasn't captured.
With all that typed, a webcam (capturing the video with a PC) or a camcorder are the best way to go. Seems most folks here are using a webcam. I picked up a logitech webcam for around $40, which does 720p. The video isn't amazing, but it's good enough for score verification purposes. There were plenty of other options at the electronics store (and through any number of online venues), with varying degrees of features, max resolution, and cost.
In that same vein, if anybody knows of a good phone or digital camera that will record good video for an unlimited amount of time, please post it.
I hope this helps.