Write SQL query to solve given problem: Who is the customer with an order shipped on March 5, 2013, in the eastern region?. Keep the solution inside sql tag ```sql [SQL-Query] ```
SELECT DISTINCT T2.`Customer Name` FROM east_superstore AS T1 INNER JOIN people AS T2 ON T1.`Customer ID` = T2.`Customer ID` WHERE T1.`Ship Date` = '2013-03-05'