Problem is, you have to go down to 2.5Ws (about the power of a swan vesper

to get the 1/13,000th...
Having worked 15+ years in the career field of metrology (the study of weights and measures), there are several things that can be misleading of the various lighting manufacturers t 0.5 and t 0.1 specifications. Some manufacturers are specifing capacitor discharge rates (measured at the capacitor), while others are specifing measurements from photodiodes (as seen from the light source).
Although PCB specified the Einstein to be capable of 1/13500s at t 0.1, Rob Galbraith's real world tests showed differing results using a photodetector and an oscilloscope. But even his tests could be missleading, depending on the reaction time of the photodetector.
http://www.robgalbraith.com/bins/multi_page.asp?cid=7-10053-10715
He measured 1/8350s at 2.5Ws at t 0.1, which is still VERY fast. But what is more interesting is Rob's tests further show, both the t 0.5 and t 0.1 specifications at each of the full stops in the Einstein range.
Almost ALL manufacturers of studio lighting equipment have come to specify flash duration as t 0.5, yet very few manufacturers specify the t 0.1 flash duration times. I don't know the real reason why they don't provide all of the details, but I suspect they don't want to put their strobes in bad light.

The time for any capacitor to drop half of its power (t 0.5) is far less than the time it takes to drop nearly all of its power down to (t 0.1). It is the capacitor decay going from t 0.5 to t 0.1 that can lead to motion blur (halo effect) in an exposure caused by the flash. Anything below t 0.1 (i.e. 10% of the Ws power settings) is typically considered insufficient to add any significance to the exposure, and thus the flash blur effect.
So let us examine the flash duration tables that Mr Galbraith created for his article above, to help dispell some of the fear, uncertainty, and disillusion (FUD) I am feeling in this forum.
With an Einstein in Action mode, the table shows only 1/8350s at its lowest power setting of 2.5Ws at t 0.1; thus the measured values are no where near the 1/13500s the manufacturer claims. But here is my thought on this; measurements in t 0.1 are going to be very close to real world shutter speeds. Thus my Nikon D4, which is only capable of 1/8000s at its fastest setting, just got beat by a $500 flash when it comes to freezing action. But wait, that is only at "the power of a swan vesper" one might say.
I say you go take a look at the rest of the table Mr Garaith produced!!
Although at full power, the Einstein doesn't look very impressive with a 1/450s t 0.1 measure, its flash duration quickly shortens as you shave stops of power away. One stop down from full power, you get nearly a four fold improvement at 320Ws, 1/1600 for t 0.1, and two stops down you get more than a seven fold improvement at 160Ws, 1/3300s for t 0.1!!! That is like getting the output of three pro level speedlights (i.e. SB900, or 580EX II) at full power, while shooting your camera with a sync speed of 1/3300!!! Which naturally isn't possible without high speed sync (i.e. FP sync). Hmmmm, maybe that is why pro photographers like Joe McNally and Dave Black need to use a slew of speedlights to kickback the ambient of the sun at sunset!
Why do I bring all of this up? To help others understand the capabilities of the Einstein for freezing action. It is trully an amazing little box. Add the lithium battery inverter pack and the PocketWizard (PowerMC2) triggering with their Control The Light (CTL) technology, and you deffinitely get a winning combination.
No, I do not work for Paul C Buff, nor do I have any affiliations with the company. However, I do own one Einstein at this time, and I am considering the purchase of three more, along with three more vagabond battery packs to create a mobile kit that is quite capable. I have looked at numerous other comparible battery operated solutions, to include Broncolor, Hensel, Profoto, and Elinchrom. But I have yet to find the ideal tool to fit my vision. My only wish is that PCB would manufactur a 1200Ws battery pack and head system that had the same kind of features as the Einstein, with the build quality of Elinchrom or similar.