XP, WCPU, CPUZ, and other softwares report this CPU to be "Dual Core."
But, there is no such thing as a Dual Core Socket-478 processor. I then thought, maybe this is an experimental processor that somehow got outside of the Intel domain R&D complex. Nah, that couldn't be since this CPU came out in November 2002.
So, I spent to many hours searching the internet from time-to-time trying to figure out this dilemma.
Well, I found the answer today!

http://en.wikipedia.org/wiki/Pentium_4
Out of all the early Northwood CPU's, only the 3.0Ghz supported Hyper-Threading.
"...The 3.06 GHz processor supported Hyper-Threading (first appeared in Xeon), enabling multiple threads to be run together by duplicating some parts of the processor in order to let the operating system believe that there are two logical processors. HyperThreading was present in all Northwood CPUs, but was disabled in the core in all but the 3.06 GHz model...."
Finally, this crasy two core dilemma is solved!

On another note, I found out that this core is a "rare bird" of sorts. Not many were made either.