As reported to the FAA. Reports are unverified, and codes are left as the FAA publishes them.
What was found
ON CLIMB OUT WE RECEIVED A LO FUEL LEVEL L LIGHT. WE RAN THE QRH WHICH SAID TO TURN ON THE BOOST PUMP AND LAND AS SOON AS POSSIBLE. BOTH FUEL LEVELS APPEARED CORRECT BASED ON THE FUEL ADDED AT THE FBO. NO LEAKS NOTED. TAXIED AIRCRAFT TO BURN THE FUEL PER MCC'S ADVISE. SIGNATURE DEFUEL TRUCK BROKEN. REMOVED AND REPLACED LOW FUEL LEVEL FLOAT SWITCH AND TUBE ASSY IAW AMM 28-42-00.