How much info should I put in my CV under education In an academic CV, how much information do you put in the education field for each degree (assume the person is a post-grad/early career)?
Option 1: Degree, Specialization, Department, University, Year, Advisor, Thesis

Ph. D. in Foo science (2012) 
Some Named School of Science, University of Bar,
Thesis: Qux control in Baz networks
Advisor: J. Q. Public

Option 2: Degree, Specialization, Department, University, Year

Ph. D. in Foo science (2012) 
Some Named School of Science, University of Bar

Option 3: Degree, Specialization, University, Year

Ph. D. in Foo Engineering, University of Bar (2012)

Option 4: Degree, University, Year

Ph. D., University of Bar (2012)

I've often seen options 1 or 2 and in some cases, where there is a bigger body of work (publications, grants, etc.) to speak for the person than their degree, I've seen option 3. Option 4 is rarer, but one common trait among those that I've seen it with is that they are now working in a field different from what they did their PhD in and do not wish to bring attention to that (lest it hurt any chances). For example, a PhD in Physics now working in Computational Biology. I think CGPAs are pretty silly when it comes to research positions, but I'm not sure if I'm the only one.
However, I don't know what the expectations of the person seeing my CV are. I don't mean random visitors to my website or corporate HRs, but other academics who might be interested in working with me. Granted, if they're an academic, they'll probably focus on my publications more, but there's also something that's expected from a CV.
I would agree that option 1 is the most likely option for someone who is just coming out of graduate school, and is looking to continue in the same field for a while. 

The department should be listed when relevant—that is, if the program in which the degree is awarded is different from the specialization in some where. For instance, if your PhD is in engineering, but the department conferring it is materials science, you should say something like number 2, rather than number 3.

I don't think there are many instances in which number 4 is very useful, because it looks like you're hiding what you did for a PhD. There are very few circumstances I can think of where this would work—except if the job call specifically required a degree from a particular subset of disciplines, to which you don't belong. But then something will probably come to light from the letters of recommendation, or from some other part of the application. 

So, I'd stick with options 1 or 2, for the reasons I've outlined above.