That corrects one of the biggest shortcomings of the old app, where you might get halfway through a puzzle on your iPad, and then have to start all over again should you decide you need to switch to your iPhone. When you log in to your New York Times account from the app, it’ll let you sync your progress not only between the iOS client on multiple devices-your iPad and iPhone, say-but also with the Times’s Web-based crossword app. But probably the best addition is the at-long-last appearance of sync.