The AP must have popped into NHC TPC early this morning. From today's news article:

...Its first incarnation as a tropical storm lasted from Dec. 30 to around 4 a.m. Thursday. Its second stint as a storm was not expected to last more than a day, because another weather system is likely to "decapitate" it with strong wind shear, hurricane specialist Stacy Stewart said.

"This thing has been very tenacious," he said. "It's probably its last gasp."

Zeta is only the second Atlantic storm in recorded history to survive into January, joining Hurricane Alice in 1955. After Zeta dissipates, Stewart said, forecasters will review records to determine whether it or Alice lasted longest into January.

The 2005 hurricane season officially ended Nov. 30, but hurricane specialist Jack Beven said the season is "not officially over until we write the last advisory, which will be in the next day or two."