Thanks. Caveats, folks, per the OSX page at the link below:
"Note: Do not tap the security information link in the update screen, that will crash the iPhone, iPad, or iPod touch until this bug fix release has been installed."
Inadvertenly validated that...Clicked the weblink on the Settings>Update page to see more about what the update did...and of course that link didn't work
...and momentarily my phone wouldn't accept my passcode after the screen timeout!!!
Went looking for the build (because....I wanted to be sure I saw something that made sense) and Google had no hit on Apple, but found this OSX page...
Per http://osxdaily.com/2016/03/31/ios-9-3-1-link-crash-bug-fix-ipsw-download/ -
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"Apple has released iOS 9.3.1 for iPhone, iPad, and iPod touch, the new version directly addresses the problem where tapped links would crash or freeze Safari, Messages, Mail, and other apps on iOS devices. This update is particularly important to install if you have been experiencing the URL crashing problem as it fixes the bug and stops tapping links from crashing the device, though users who haven’t been impacted by the bug may find it less urgent to update.
The iOS 9.3.1 build arrives as 13E238 and if downloaded as a delta update it is quite small, arriving at roughly 35MB, making it a quick install.
The easiest way to update to iOS 9.3.1 is through the OTA mechanism on the iPhone, IPad, or iPod touch. Be sure to back up the device before beginning.
Note: Do not tap the security information link in the update screen, that will crash the iPhone, iPad, or iPod touch until this bug fix release has been installed.
Another option is to update to iOS 9.3.1 through iTunes using a Mac or Windows PC. This necessitates connecting the device to a computer, launching iTunes, and choosing the “Update” button within iTunes.
Direct download links to iOS 9.3.1 in IPSW firmware format are available from Apple servers below, using IPSW to update is generally considered advanced but is not too complicated."
[ed. note: I cut those links out of sequence in the quote - see the actual page if you need them.]
iOS 9.3.1 Release Notes
The brief release notes attached to iOS 9.3.1 state the update “Fixes an issue that caused apps to be unresponsive after tapping on links in Safari and other apps”.
To be perfectly clear, installing iOS 9.3.1 completely fixes the link crashing bug, so if you have Safari crashing or freezing when links are clicked, or if other strange URL behavior is noted, install this update to fix the problem. Because the update fixes the problem, it voids the need to follow this set of relatively complicated set of steps that can fix the URL crashing issue. This means you can also re-enable Javascript if you turned it off as a troubleshooting step with the prior iOS update version. If you did not have any problems with the iOS 9.3 update, you still may want to update to iOS 9.3.1 to be current anyway, but it’s likely less pressing compared to users who are unable to access Safari, Mail, Messages, and other apps without them crashing."
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