Galymzhan Abaildayev, 44, is charged with reckless endangerment, making graffiti, public lewdness, criminal trespass and disorderly conduct.
Abaildayev climbed the north tower of the Brooklyn Bridge, on the Manhattan side, around 2:30 p.m.
After he jumped, he was rescued from the water by the NYPD Harbor Unit and was taken to the hospital where he was said to be stable.
Few other details were released.
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