I can confirm this and can also tell you that this glitch/cheat is now actively being exploited. People are gearing up by hopping servers and using the glitch as cover.
Steps to reproduce:
Cary primary weapon.
Sprint towards inner northern wall.
Press jump when you are going to hit the wall.

Both upstairs as downstairs this is possible. See screenshots attached for downstairs.

Can confirm this.
Same glitch as I described here:
http://feedback.dayzgame.com/view.php?id=4652
Needs fixing!

Duplicate of this one:http://feedback.dayzgame.com/view.php?id=4652

Duplicate of this one:http://feedback.dayzgame.com/view.php?id=4652

Exactly the same happend to me. Because I was curious whether it was actually rotten i ate it. And it was. (feeling pretty sick right now.)
See screenshots.

Duplicate of this one:http://feedback.dayzgame.com/view.php?id=4652

Just had exactly the same twice in 5 minutes. First whit eating secondly with climbing a ladder. Screenshot of is of second time it happend.
(Longer version below.)
Found a Mosin and M4 (lucky day) so put the M4 on my back and carried the Mosin with one in the chamber. Tried to eat something and the Mosin disappeared. Thought I might have dropped it by accident somewhere so went looking for it. Found another Mosin (without a bullet loaded, so I assumed it was a different instance). Tried to climb a ladder of some hut couple of minutes later. Same happend the second Mosin disappeared to (not so lucky after all).

Duplicate of this one:http://feedback.dayzgame.com/view.php?id=4652
Nice that you have a video!

As pointed out by R834 and Esoterick you can screenshot with F12 and this is inherent to the behaviour of a steamgame with DirectX.

Confirmed. It only happened to me once with a Medical Kit placed inside the trunk of a car.

Are you sure you have a full battery attached to it?

Can confirm this works.
In my case I could climb one of the outside ladders from inside the hospital building.
On the screenshot I attached you can see the "climb up" icon and it allows you to climb the outside ladder.

Duplicate of this one:http://feedback.dayzgame.com/view.php?id=4652

Same here. Got knocked unconscious (also was sick from eating a rotten kiwi) by two zombies inside a house. Then stuck in the floor (see screenshots 2013-12-20_00005/7). Since I couldn't do anything but looking around I reconnected to the server and somehow the problem was resolved. Zombies gone, I was no longer unconscious and I still had all my gear. (version 113860)