The publication path linking me to Paul Erdos is:

• Paul Erdos ->
• Ernst Specker ->
• Karl Lieberherr ->
• Paul Dourish

(Formerly, the shortest path was Erdos -> Allen R. Freedman -> Richard Ladner -> Anthony LaMarca -> Paul Dourish.)

In turn, this gives me an "Einstein number" of 5 (unless there's some shortcut, but that seems unlikely). However, my Bacon number remains infinite.