The suspect asked a Jewish man, “What are you doing on my block?” before hitting him, police said.
The victim, 53, was attacked with an umbrella and kicked in the lower back, police said.
The graffiti was found a week after a Jewish tenant moved into the President Street apartment building.
An arsonist started three small fires in Crown Heights and Brownsville churches, police said.
Police released a sketch of the suspect in Friday's attack on journalist Randy Gener in Midtown.
The attack on a transgender woman and her male friend at the Neptune Diner might be a hate crime.
Four children ranging in age from 10 to 14 were arrested in connection with alleged "knockout" attacks.
The NYPD Hate Crimes Task Force is investigating the video of the alleged F train incident, police said.
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