Textures and Effects are off when far away from the center of the map

MOD EDIT:
As of 13w39b, glitches begin exactly outside these boundaries:

x: 1048575 z: 1048575

to

x:-1048575 z:-1048575

Anything inside renders correctly.
Redstone is giant when you place it far from the center of the map.
Particle Effects are shown farther away from their source, as shown with the torches, the furnace, and the fire.
EDIT- If you go father away, Redstone eventually becomes invisible when you place it. At that point, placing it next to itself to make it go in a line, the line itself is 2x2 blocks instead of 1 block.

EDIT 2- If you go 10000000 blocks in one direction from the center and place redstone, it will be giant, but connecting it to a Redstone torch makes it small again.
Placing a minecart places it behind the rail, as shown in the picture.

This is semi-related to the Jumping Item Frames bug, but with everything else.

EDIT 3- Anvils sometimes break instead of falling.