Open Access News

News from the open access movement


Friday, July 04, 2003

In a free story in the July 3 Nature, George Szpiro tells the tale of Thomas Hales and his attempt to prove Kepler's sphere-packing conjecture. Hales' proof uses an exhaustive computer exploration of 5,000 packing arrangements and 100,000 inequalities. After four years of review at Annals of Mathematics, the referees ran out of energy and gave up. They believe the proof is correct but have been unable to finish the job of making sure. The editor will publish Hales' paper next year, but with a note explaining that the proof has not yet been completely verified. (Thanks to Darius Cuplinskas.) (PS: Would Hales have had better luck if he'd distributed a preprint in an open-access repository like arXiv? The same thought must have occurred to Hales, but late in the game, for he deposited his paper in arXiv on May 1.)