Apple has redesigned the Notification Center in iOS 10. Widgets, which were previously found in the Today view are in a new location. In fact, the Today tab in the pull-down Notification Center is completely gone.
Widgets can now be found on the home and lock screens. Swiping to the right will reveal Siri search, with pending notifications and widgets. Now that "slide to unlock" has been replaced with "press home to unlock", the right swipe on the lock screen goes directly to this Siri search mode.