The bulk of the ring material starts about 3.7 million miles from the planet and extends outward about another 7.4 million miles.So this new ring is obviously extremely far away from the planet, but I assume still within its gravitational field. Nothing from Phil Plait of Bad Astronomy yet, but I'll check back to see if he blogs about this soon.
Here is the NASA press release of the discovery made by the Spitzer Space Telescope.

ETA: This ring is definitely within the gravitational field of Saturn. The Saturnian moon Phoebe is as distant from Saturn as this ring.