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"As the Americans did not provide any acceptable evidence to back up their claim, and as the other aides close to Osama bin Laden have not confirmed or denied the death ... therefore the Islamic Emirate consider any assertion premature," said a statement emailed to media by Taliban spokesman Zabihullah Mujahid.
A US official told Reuters in Washington on Tuesday that the United States might release photos of the burial at sea.
But the Taliban had remained quiet until Tuesday, despite a relatively sophisticated media network they had developed over the past few years.