Bitcoin is the world's first public digital payments infrastructure.

Public as in anyone can use it and nobody controls it.

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I was reading about some of the cryptography this is based on a few days ago. Elliptical Curve Cryp, assymetrical keys that allows the ability to have a public ledger full of transactions signed by a private key which is only known to the owner but can be verified by the public as being from the owner. All without the owner revealing his secret key. Was cool to try and understand BTC at a new layer for me!