Now Sarah Palin has denied the rumor, choosing an unlikely venue to do so: Facebook (Facebook). Palin spokesperson Meg Stapleton posted the following to Palin’s official Facebook page today:

Yet again, some so-called journalists have decided to make up a story. There is no truth to the recent “story” (and story is the correct term for this type of fiction) that the Palins are divorcing. The Palins remain married, committed to each other and their family, and have not purchased land in Montana (last week it was reported to be Long Island).

Less than one week ago, Governor Palin asked the media to “quit making things up.” We appreciate that the more professional journalists decided to question this story before repeating it.

Meg Stapleton

In the first round of what will be an annual “Strategic and Economic Dialogue,” the two major economic powers signed a memorandum promising greater cooperation in tackling climate change, energy and the environment, although the document was not publicly released and few specifics emerged.

The countries also “touched upon” the exchange rate between China’s yuan and the U.S. dollar, but there were no detailed discussions, People’s Bank of China chief Zhou Xiaochuan told reporters through an interpreter.

The United States has largely steered clear of a public appeal for China to allow its currency to rise faster, but Beijing did take a sharper tone, warning against letting the dollar slide too far.

“As a major reserve currency-issuing country in the world, the United States should properly balance and properly handle the impact of the dollar supply on the domestic economy and the world economy as a whole,” Vice Premier Wang Qishan said.

The United States would like to see a stronger yuan to help correct trade imbalances, but China remains dependent on its export sector, and would stand to lose from a dollar fall that would reduce the value of its substantial dollar holdings.

The formal session of the two-day talks wrapped up near midday on Tuesday, almost entirely behind closed doors.

Press conferences were still expected from officials including U.S. Treasury Secretary Timothy Geithner, Secretary of State Hillary Clinton, and Wang.

With the United States trying to claw its way out of the longest recession since the Great Depression of the 1930s and China suffering from a steep drop in demand for exports, a key focus of the talks was on restoring economic stability.

But there were plenty of other tricky issues on the table.

Clinton co-chaired the U.S. side and was seeking Beijing’s cooperation on a wide range of sensitive diplomatic issues from North Korea and climate change to infectious diseases and energy markets.

RESTORING GLOBAL BALANCE

The United States is China’s best customer for exports, and China is the United States’ biggest creditor, holding $802 billion of U.S. Treasury securities as of May 31. Washington needs Beijing to keep buying its debt to finance a budget deficit estimated to hit $1.8 trillion this year.

On Monday, Chinese officials said they wanted to see the United States rein in its soaring budget deficit, while the U.S. side appealed to China to stimulate domestic consumption to restore balance to the global economy and trade.

The veteran Wang said China would help to ensure a recovery from the past two years of financial crisis, which he said seemed to be largely over, but pointed to concessions that China wanted.