Riddle-cryptic 49

The front of the breastbone and the rear of a boat / Have this common link, I austerely note.

"It means 'pertaining to a length of timber.'" It's said with much whimsicality, / And by a Vulcan, of all people! Strange words for someone who's known for his rationality.

It's wisdom encapsulated, with one for most states. / "Eureka!" is California's; for New Hamphire's, see their plates.

There's one in Massachusetts where some wrongly took the heat. / There's another one in Oregon where politicians meet. / If someone says the name out loud, you might respond with, "Hey! / That sounds like what you do with boats on a glorious summer day!

Now here's a simple question: what's the fourth root of 4096? / I'll hide the answer using sleight of hand. (That's how I get my kicks!)

Spinach-onion dip? It holds this chip that's slathered with cheese and meat. / Of course, it's usually seen in its plural form -- just one is hard to eat.