Despite the event being explicitly said to have happened in the mid-23rd century, when talking about the device the Vulcans used O'Brien said the technology had much improved in the last two hundred years, implying them to be limited to 22nd century technology. The Star Trek Encyclopedia (4th ed., vol. 1, p. 325) dated the event to the year 2169.
According to the script, the pronunciation for Hanoli was "hah-NOH-lee". . The script also specifies that Dax knew about the fate of the system out of personal knowledge, not through the research she was doing at the time.