EHX LPB1 circuit not working
Your problem here is that everything is connected to everything!
Those lines along the bottom of the perfboard are copper, and anything soldered into the same line will be connected to each other. For example, your 8x100k resistors are all connected in parallel in that configuration - not series. 

And the huge blue capacitor in the bottom right is not doing anything because the legs are both soldered into the same track, so any current is just going to ignore it. 

The reason your battery is overheating is because none of your components are acting like a 'load' - that is, your battery's current is just running straight back into itself without being used to power anything - you are shorting it.

The website DIY stompboxes is a useful resource for getting started with building pedals.