[00:16:11] [Client thread/INFO] [STDERR/]: [logisticspipes.proxy.MainProxy:sendToPlayerList:176]: sendToPlayerList called clientside !
[00:16:11] [Client thread/INFO] [STDERR/]: [java.lang.Throwable$WrappedPrintStream:println:-1]: java.lang.Exception
[00:16:11] [Client thread/INFO] [STDERR/]: [java.lang.Throwable$WrappedPrintStream:println:-1]: at logisticspipes.proxy.MainProxy.sendToPlayerList(MainProxy.java:177)
[00:16:11] [Client thread/INFO] [STDERR/]: [java.lang.Throwable$WrappedPrintStream:println:-1]: at logisticspipes.modules.ModuleActiveSupplier.InventoryChanged(ModuleActiveSupplier.java:120)
[00:16:11] [Client thread/INFO] [STDERR/]: [java.lang.Throwable$WrappedPrintStream:println:-1]: at logisticspipes.utils.item.ItemIdentifierInventory.func_70296_d(ItemIdentifierInventory.java:157)
[00:16:11] [Client thread/INFO] [STDERR/]: [java.lang.Throwable$WrappedPrintStream:println:-1]: at net.minecraft.inventory.Slot.func_75218_e(Slot.java:83)
[00:16:11] [Client thread/INFO] [STDERR/]: [java.lang.Throwable$WrappedPrintStream:println:-1]: at net.minecraft.inventory.Slot.func_75215_d(Slot.java:78)
[00:16:11] [Client thread/INFO] [STDERR/]: [java.lang.Throwable$WrappedPrintStream:println:-1]: at net.minecraft.inventory.Container.func_75141_a(SourceFile:385)
[00:16:11] [Client thread/INFO] [STDERR/]: [java.lang.Throwable$WrappedPrintStream:println:-1]: at logisticspipes.utils.gui.DummyContainer.func_75141_a(DummyContainer.java:720)
[00:16:11] [Client thread/INFO] [STDERR/]: [java.lang.Throwable$WrappedPrintStream:println:-1]: at net.minecraft.client.network.NetHandlerPlayClient.func_147266_a(NetHandlerPlayClient.java:1021)
[00:16:11] [Client thread/INFO] [STDERR/]: [java.lang.Throwable$WrappedPrintStream:println:-1]: at net.minecraft.network.play.server.S2FPacketSetSlot.func_148833_a(SourceFile:27)
[00:16:11] [Client thread/INFO] [STDERR/]: [java.lang.Throwable$WrappedPrintStream:println:-1]: at net.minecraft.network.play.server.S2FPacketSetSlot.func_148833_a(SourceFile:10)
[00:16:11] [Client thread/INFO] [STDERR/]: [java.lang.Throwable$WrappedPrintStream:println:-1]: at net.minecraft.network.NetworkManager.func_74428_b(NetworkManager.java:212)
[00:16:11] [Client thread/INFO] [STDERR/]: [java.lang.Throwable$WrappedPrintStream:println:-1]: at net.minecraft.client.multiplayer.PlayerControllerMP.func_78765_e(PlayerControllerMP.java:273)
[00:16:11] [Client thread/INFO] [STDERR/]: [java.lang.Throwable$WrappedPrintStream:println:-1]: at net.minecraft.client.Minecraft.func_71407_l(Minecraft.java:1591)
[00:16:11] [Client thread/INFO] [STDERR/]: [java.lang.Throwable$WrappedPrintStream:println:-1]: at net.minecraft.client.Minecraft.func_71411_J(Minecraft.java:962)
[00:16:11] [Client thread/INFO] [STDERR/]: [java.lang.Throwable$WrappedPrintStream:println:-1]: at net.minecraft.client.Minecraft.func_99999_d(Minecraft.java:887)
[00:16:11] [Client thread/INFO] [STDERR/]: [java.lang.Throwable$WrappedPrintStream:println:-1]: at net.minecraft.client.main.Main.main(SourceFile:148)
[00:16:11] [Client thread/INFO] [STDERR/]: [java.lang.Throwable$WrappedPrintStream:println:-1]: at sun.reflect.NativeMethodAccessorImpl.invoke0(Native Method)
[00:16:11] [Client thread/INFO] [STDERR/]: [java.lang.Throwable$WrappedPrintStream:println:-1]: at sun.reflect.NativeMethodAccessorImpl.invoke(Unknown Source)
[00:16:11] [Client thread/INFO] [STDERR/]: [java.lang.Throwable$WrappedPrintStream:println:-1]: at sun.reflect.DelegatingMethodAccessorImpl.invoke(Unknown Source)
[00:16:11] [Client thread/INFO] [STDERR/]: [java.lang.Throwable$WrappedPrintStream:println:-1]: at java.lang.reflect.Method.invoke(Unknown Source)
[00:16:11] [Client thread/INFO] [STDERR/]: [java.lang.Throwable$WrappedPrintStream:println:-1]: at net.minecraft.launchwrapper.Launch.launch(Launch.java:135)
[00:16:11] [Client thread/INFO] [STDERR/]: [java.lang.Throwable$WrappedPrintStream:println:-1]: at net.minecraft.launchwrapper.Launch.main(Launch.java:28)
[00:16:11] [Client thread/INFO] [STDERR/]: [java.lang.Throwable$WrappedPrintStream:println:-1]: at sun.reflect.NativeMethodAccessorImpl.invoke0(Native Method)
[00:16:11] [Client thread/INFO] [STDERR/]: [java.lang.Throwable$WrappedPrintStream:println:-1]: at sun.reflect.NativeMethodAccessorImpl.invoke(Unknown Source)
[00:16:11] [Client thread/INFO] [STDERR/]: [java.lang.Throwable$WrappedPrintStream:println:-1]: at sun.reflect.DelegatingMethodAccessorImpl.invoke(Unknown Source)
[00:16:11] [Client thread/INFO] [STDERR/]: [java.lang.Throwable$WrappedPrintStream:println:-1]: at java.lang.reflect.Method.invoke(Unknown Source)
[00:16:11] [Client thread/INFO] [STDERR/]: [java.lang.Throwable$WrappedPrintStream:println:-1]: at org.multimc.onesix.OneSixLauncher.launchWithMainClass(OneSixLauncher.java:286)
[00:16:11] [Client thread/INFO] [STDERR/]: [java.lang.Throwable$WrappedPrintStream:println:-1]: at org.multimc.onesix.OneSixLauncher.launch(OneSixLauncher.java:376)
[00:16:11] [Client thread/INFO] [STDERR/]: [java.lang.Throwable$WrappedPrintStream:println:-1]: at org.multimc.EntryPoint.listen(EntryPoint.java:165)
[00:16:11] [Client thread/INFO] [STDERR/]: [java.lang.Throwable$WrappedPrintStream:println:-1]: at org.multimc.EntryPoint.main(EntryPoint.java:54)

Occures with GraviWrench when clicking on Active Supplier Pipe.

Can you put the whole crash on https://gist.github.com/ with all version information and such?

I can upload you logfile. It's not a crash. It's client console log with spam messages.
Here full logfile for analyse: http://paste.ee/p/6K0ew
My actions:

1. Started game.
2. Logged into server.
3. Clicked RMB (Right mouse button) on Active Supplier with GraviKey.

Could you still tell us your versions of BC and LP then?

Here they are:
buildcraft-6.2.6
logisticspipes-0.8.2.84

This bug affected to other "Suppliers", for example: Passive Supplier module.