I guess that you did not really want addedOn = DateTime.Now
because that would suggest you never get any result as everything would be added before 'Now'. :)
A default DateTime
can be set like this:
public void SomeClassInit(Guid docId, DateTime addedOn = default(DateTime))
Update
If you deal with SQL Server, do not forget that it doesn't accept default(DateTime) what is 1/1/0001. SQL Server's minimal DateTime is 1/1/1753 (explanation). SQL's DateTime2 accepts 1/1/0001, though.