In bitcoin, each transaction's signature is signed with previous owner's private key. Then, how sign the first transaction's signature?
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1related: [What is the coinbase?](http://bitcoin.stackexchange.com/q/4571/5406), [Where do bitcoins come from and what gives them their value?](http://bitcoin.stackexchange.com/q/182/5406) – Murch Aug 14 '16 at 22:33
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See Bitcoin Wiki. Above image illustrates a byte-map of transaction with each type of TxIn and TxOut.
We should attention at "Coinbase/Generation" (Coinbase means the first transaction in a block). Codebase's script is a arbitary data. Yep, it is random.
Therefore the signature of first transaction of a block is not used.
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