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But photographs of Bin Laden after his reported death have not been released.
Also, reports have suggested that Saudi Arabia was asked to take his body - but refused to do so.
The fact his body was buried at sea has so far only added to the speculation, although as a Muslim, he had to be laid to rest as quickly as possible.
Under Islamic law, people can only be buried at sea if they died there, or if there is a risk their body will be exhumed or dug up if buried in the ground.
The release of a photograph purporting to show bin Laden's corpse - which was later confirmed to be a fake - added to the confusion.
Journalists have not yet had the opportunity to ask more than a few questions of the Obama administration about details of Bin Laden's death.
A former British ambassador to the US, Sir Christopher Meyer, told Sky News: "I imagine we will see proof.
"I can't concede the US president would go out to make a statement to the world that bin Laden is dead without being able to produce evidence that he is dead.
"I think we will see some evidence - DNA or photographic - to prove there is not still some phantom Osama bin Laden riding the Tora Bora mountains."
The announcement is not the first time the world has heard of Bin Laden's death. Claims that the US and Britain kept up a pretence he was alive in order to continue their war on terror have been dismissed as conspiracy theories.
It has been suggested that bin Laden died nearly 10 years ago during the battle for Tora Bora in Afghanistan, either from a US bomb or from kidney disease.
And as for his audio and video statements, their authenticity has continually been questioned.
One of his video statements, released just days before the October 2004 US presidential election, was said to have been crucial in helping George Bush secure a second term in office.