Remember, son, many a good story has been ruined by over verification - James Gordon Bennett
Sony made the batteries but the problem doesn't cause them to explode, according to an Associated Press article cited in the Wall Street Journal .
Instead the batteries just stop charging or discharge too fast.
How do you know if you've got an affected product? There appears to be no notification on the Toshiba web site as yet. AP says 100,000 units are in the States, there are 45,000 in Japan and the others are in other countries. ยต