The man's misdeed was caught on surveillance video.
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That video shows the man standing at the counter of the Judah Mediterranean Grill in the Somerton section while holding a menu.
He pretends to read the menu and then, when no one is looking, lifts up the tip jar then covers it with the menu.
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The man then turns around and walks out of the restaurant with the jar.
Investigators say they have some leads, but so far have not made any arrests.