I need to store pdf hash in blockchain to prove my pdf existence. I thought to use blockchain, but public blockchain required some fee ... I don't really understand if ethereum could be my solution... Can I use ethereum for store hash for free ? And if ethereum can be use to prove work ?


No, you cannot use the main net of Ethereum for free. See this answer for how you can use the Ethereum block chain in conjunction with a third party to store the hash of your .pdf.

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