For the rectifier idea and following Roberts demo method...an idea is to brush on 1 layer onto a piece of plastic/circuitboard/paper and leave it, then brush on a 2nd layer on another piece but use pressure to form the shiny copper. Put one on top of the other and seal. Best results may come with leaving the first layer for some time. to acquire the oxide layer of desired thickness.
This concept has me thinking about solar panels. Normally I use panel pieces from a 1lb bag of bits that Silicon Solar sell (works out to about 15c per Watt, but it's all smashed up panels). Connect up using 30AWG and size the bits for an 18V 1A panel. 30AWG will carry up to about 1A, so it all becomes very useful and easy to do. The one problem area, is that monocrystalline panels will break almost by looking at them and even 30AWG can be difficult to use. Using the copper paint on paper, thicker tracks could be simply painted, to carry more current. The paper tracks would be cut in strips from a sheet of paper covered in the ink. Then they'd be just like the commercial panel connecting wire, which is quite expensive for what it is.
For clarity, here is such a panel, output 19V 1.1A:
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