2737 BC Tea Party

I see the Chinese have an exact year that tea-drinking was invented:

Tea was first discovered by the Chinese Emperor Shennong in 2737 BC. It is said that the emperor liked his drinking water boiled before he drank it so it would be clean, so that is what his servants did. One day, on a trip to a distant region, he and his army stopped to rest. A servant began boiling water for him to drink, and a dead leaf from the wild tea bush fell into the water. It turned a brownish color, but it was unnoticed and presented to the emperor anyway. The emperor drank it and found it very refreshing, and cha (tea) was born.

For all I know, this could be truly precise.
Otherwise, at least the story is nice.