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Mastering Bitcoin

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Mastering Bitcoin ( mastering-bitcoin )

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Private Key (WIF-Compressed) is: KyBsPXxTuVD82av65KZkrGrWi5qLMah5SdNq6uftawDbgKa2wv6S Public Key (x,y) coordinates is: (41637322786646325214887832269588396900663353932545912953362782457239403430124L, 16388935128781238405526710466724741593761085120864331449066658622400339362166L) Public Key (hex) is: 045c0de3b9c8ab18dd04e3511243ec2952002dbfadc864b9628910169d9b9b00ec 243bcefdd4347074d44bd7356d6a53c495737dd96295e2a9374bf5f02ebfc176 Compressed Public Key (hex) is: 025c0de3b9c8ab18dd04e3511243ec2952002dbfadc864b9628910169d9b9b00ec Bitcoin Address (b58check) is: 1thMirt546nngXqyPEz532S8fLwbozud8 Compressed Bitcoin Address (b58check) is: 14cxpo3MBCYYWCgF74SWTdcmxipnGUsPw3 Here’s another example, using the Python ECDSA library for the Elliptic Curve math and without using any specialized bitcoin libraries: Example 4-5. A script demonstrating Elliptic Curve math used for bitcoin keys import ecdsa import random from ecdsa.util import string_to_number, number_to_string # secp256k1, http://www.oid-info.com/get/1.3.132.0.10 _p = 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2FL _r = 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141L _b = 0x0000000000000000000000000000000000000000000000000000000000000007L _a = 0x0000000000000000000000000000000000000000000000000000000000000000L _Gx = 0x79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798L _Gy = 0x483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8L curve_secp256k1 = ecdsa.ellipticcurve.CurveFp(_p, _a, _b) generator_secp256k1 = ecdsa.ellipticcurve.Point(curve_secp256k1, _Gx, _Gy, _r) oid_secp256k1 = (1, 3, 132, 0, 10) SECP256k1 = ecdsa.curves.Curve("SECP256k1", curve_secp256k1, generator_secp256k1, oid_secp256k1) ec_order = _r curve = curve_secp256k1 generator = generator_secp256k1 def random_secret(): random_char = lambda: chr(random.randint(0, 255)) convert_to_int = lambda array: int("".join(array).encode("hex"), 16) byte_array = [random_char() for i in range(32)] return convert_to_int(byte_array) def get_point_pubkey(point): if point.y() & 1: key = '03' + '%064x' % point.x() else: key = '02' + '%064x' % point.x() return key.decode('hex') Implementing Keys and Addresses in Python | 83

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