Peter is reffering to the ETC that is linked to your ETH wallet. If you held ETH before the hard fork you got the same amount of ETC (on the old block chain). 1 ETH = 1 ETC if it was held before block #1920000.
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More information on how the so called split is performed can be found here: https://steemit.com/ethereum/@pauls/ethereum-fork-step-by-step-guide-to-safely-splitting-your-eth-etc