(1) Try this URL instead: http://www.nytimes.com/pages/
(2) Hit the URL by date: http://www.nytimes.com/indexes/yyyy/mm/dd/
Example: http://www.nytimes.com/indexes/2011/12/03/
You can also use this URL structure to get the Homepage back several years (2001) as it was around midnight of that date.
http://www.nytimes.com/indexes/2001/01/01/
http://www.nytimes.com/indexes/2001/09/11/ (Notable)
Not sure if this (or any other section) is of interest too:
http://www.nytimes.com/indexes/2010/12/03/todayspaper/
(3) When you scrape the page find out the link it provides to the Homepage and then try that. I had some success doing that.
What I really want is THIS:
"Reward - NYTimes Login Script" http://donohoe.tumblr.com/post/10723388191/reward-nytimes-lo...
which would get around that problem.