We've been receiving multiple reports of widespread Apple site outages. Folks on Apple’s support forum, social media and elsewhere have been complaining about it. Most of these service outages are impacting the Apple ID website as well as Apple’s iForgot site.
Apple has yet to report on any outages (as of the time of this report), and it could be because the issues being experienced are variable. The main problems seem to be occurring on Apple websites: iforgot.apple.com and appleid.apple.com.
We will keep you apprised if anything more concrete develops.