Which is more important. Because the Corsair psu produces 140W of total power on +3.3V and +5V while picopsu outputs 19w and 30w of power on +3.3v and +5v respectively. Now if the CPU is consuming 3.3v channel, and Intel E5300 is rated at 65W , expect a brown out reset 
I should hope a Pentium E5300 won’t draw enough power to cause a brown-out :\ I read many success stories with Athlon X2s on HTPCs, and it would be hard to believe that an E5300 manufactured on a 45nm-process would kill a 120W picoPSU where the 65nm Athlon X2s failed to do so.
SPCR was kind enough to do a
power distribution measurement test. The results are 4 years old and hence should be carefully analysed with the right assumptions, but I would be very disappointed if the Pentium E5300 ends up pulling more current on the 3.3V and 5V lines than a Northwood P4 (LOL!)
IIRC from most of the articles I've been reading, on most systems built in the past 4 years or so, most of the power draw would be on the 12V rail. This is a result of the ever-increasing power draw of computer systems (you get less wire resistance at higher voltages), as well as a greater awareness of power efficiency and a push toward greater power efficiency (c.f.
the 80 PLUS Program, and
the 80 Plus Certification for PSUs), and is also reflected in the current-limit distribution of PSUs (Just compare the maximum current load per rail of a 5-year-old PSU, to that of a modern PSU).
In the worst-case scenario I guess I'll just have to plonk more money down and go for a 150W picoPSU

[edit]Found some cheesecake!

That's a Scythe Big Shuriken HSF sitting on top of the CPU; it is slightly off-center, but cheaper and shorter than the Thermalright AXP-140 (pictured below):

Free GPU heatsink + memory ventilation as well, and 120mm-fan silence to boot.
With the Scythe, the overall system height works out to be about 8cm =D