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CH04::headings, make various changes to improve logical hierarchy
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@ -26,7 +26,7 @@ We'll examine public keys, private keys, signatures, and hash functions
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in the following sections, and then use all of them together to describe
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in the following sections, and then use all of them together to describe
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the addresses used by modern Bitcoin software.
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the addresses used by modern Bitcoin software.
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==== Public Key Cryptography and Cryptocurrency
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=== Public Key Cryptography
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((("keys and addresses", "overview of", "public key
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((("keys and addresses", "overview of", "public key
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cryptography")))((("digital currencies", "cryptocurrency")))Public key
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cryptography")))((("digital currencies", "cryptocurrency")))Public key
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@ -61,9 +61,6 @@ _key pair_ for convenience. However, the public key can be calculated
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from the private key, so storing only the private key is also possible.
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from the private key, so storing only the private key is also possible.
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====
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====
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[[private_public_keys]]
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==== Private and Public Keys
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((("keys and addresses", "overview of", "private and public key
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((("keys and addresses", "overview of", "private and public key
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pairs")))((("elliptic curve cryptography")))((("cryptography", "elliptic
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pairs")))((("elliptic curve cryptography")))((("cryptography", "elliptic
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curve cryptography")))A bitcoin wallet contains a collection of key
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curve cryptography")))A bitcoin wallet contains a collection of key
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@ -117,8 +114,6 @@ random can significantly reduce the security of your private key and the
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bitcoins it controls.
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bitcoins it controls.
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====
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====
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===== Generating a private key from a random number
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The first and most important step in generating keys is to find a secure
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The first and most important step in generating keys is to find a secure
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source of entropy, or randomness. Creating a bitcoin key is essentially
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source of entropy, or randomness. Creating a bitcoin key is essentially
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the same as "Pick a number between 1 and 2^256^." The exact method you
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the same as "Pick a number between 1 and 2^256^." The exact method you
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@ -1411,16 +1406,8 @@ versions that haven't been defined yet. This will help make your
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software usable for many years to come even if you aren't able to add
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software usable for many years to come even if you aren't able to add
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support for new Bitcoin features as soon as they become available.
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support for new Bitcoin features as soon as they become available.
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==== Key Formats
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((("keys and addresses", "Bitcoin addresses", "key formats")))Both
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private and public keys can be represented in a number of different
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formats. These representations all encode the same number, even though
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they look different. These formats are primarily used to make it easy
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for people to read and transcribe keys without introducing errors.
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[[priv_formats]]
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[[priv_formats]]
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===== Private key formats
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==== Private key formats
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((("public and private keys", "private key formats")))The private key
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((("public and private keys", "private key formats")))The private key
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can be represented in a number of different formats, all of which
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can be represented in a number of different formats, all of which
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