There is an interesting scheme called 'firstbits', which uses the blockchain (global, public, immutable) to determine the shortest prefix which uniquely identifies an address. At this point in time, an address can usually be identified with 5-6 hex digits.

Your 19HcFgnnJseANJAHUjFifVwz68AGYrHc7v address for example, firstbits down to 19HcFgn: http://firstbits.com/