Demonstrate how to calculate the messagehash for the two signatures in this transaction
See ecdsa_demo.py for code showing how to use this to crack the bitcoin secret key.
These are the values extracted from the example transaction below:
pk="04 db d0 c6 15 32 27 9c f7 29 81 c3 58 4f c3 22 16 e0 12 76 99 63 5c 27 89 f5 49 e0 73 0c 05 9b 81 ae 13 30 16 a6 9c 21 e2 3f 18 59 a9 5f 06 d5 2b 7b f1 49 a8 f2 fe 4e 85 35 c8 a8 29 b4 49 c5 ff"
r="d4 7c e4 c0 25 c3 5e c4 40 bc 81 d9 98 34 a6 24 87 51 61 a2 6b f5 6e f7 fd c0 f5 d5 2f 84 3a d1"
s1="44 e1 ff 2d fd 81 02 cf 7a 47 c2 1d 5c 9f d5 70 16 10 d0 49 53 c6 83 65 96 b4 fe 9d d2 f5 3e 3e"
s2="9a 5f 1c 75 e4 61 d7 ce b1 cf 3c ab 90 13 eb 2d c8 5b 6d 0d a8 c3 c6 e2 7e 3a 5a 5b 3f aa 5b ab"
m1="c0 e2 d0 a8 9a 34 8d e8 8f da 08 21 1c 70 d1 d7 e5 2c ce f2 eb 94 59 91 1b f9 77 d5 87 78 4c 6e"
m2="17 b0 f4 1c 8c 33 7a c1 e1 8c 98 75 9e 83 a8 cc cb c3 68 dd 9d 89 e5 f0 3c b6 33 c2 65 fd 0d dc"
eccalc crack2 "$pk" "$r" "$s1" "$s2" "$m1" "$m2"
note that the output script for both inputs is the same in this case: 19 76 a9 14 70 79 2f b7 4a 5d f7 45 ba c0 7d f6 fe 02 0f 87 1c bb 29 3b 88 ac
----- hexdump of https://bitaps.com/9ec4bc49e828d924af1d1029cacf709431abbde46d59554b62bc270e3b29c4b1
01 00 00 00
02 -- inputs
f6 4c 60 3e 2f 9f 4d af 70 c2 f4 25 2b 2d cd b0 7c c0 19 2b 72 38 bc 9c 3d ac ba e5 55 ba f7 01 01 00 00 00
8a
47 30 44
02 20 d4 7c e4 c0 25 c3 5e c4 40 bc 81 d9 98 34 a6 24 87 51 61 a2 6b f5 6e f7 fd c0 f5 d5 2f 84 3a d1 -- r
02 20 44 e1 ff 2d fd 81 02 cf 7a 47 c2 1d 5c 9f d5 70 16 10 d0 49 53 c6 83 65 96 b4 fe 9d d2 f5 3e 3e -- s1
01
41 04 db d0 c6 15 32 27 9c f7 29 81 c3 58 4f c3 22 16 e0 12 76 99 63 5c 27 89 f5 49 e0 73 0c 05 9b 81 ae 13 30 16 a6 9c 21 e2 3f 18 59 a9 5f 06 d5 2b 7b f1 49 a8 f2 fe 4e 85 35 c8 a8 29 b4 49 c5 ff -- the public key
ff ff ff ff
29 f8 41 db 2b a0 ca fa 3a 2a 89 3c d1 d8 c3 e9 62 e8 67 8f c6 1e be 89 f4 15 a4 6b c8 d9 85 4a 01 00 00 00
8a
47 30 44
02 20 d4 7c e4 c0 25 c3 5e c4 40 bc 81 d9 98 34 a6 24 87 51 61 a2 6b f5 6e f7 fd c0 f5 d5 2f 84 3a d1 -- r
02 20 9a 5f 1c 75 e4 61 d7 ce b1 cf 3c ab 90 13 eb 2d c8 5b 6d 0d a8 c3 c6 e2 7e 3a 5a 5b 3f aa 5b ab -- s2
01
41 04 db d0 c6 15 32 27 9c f7 29 81 c3 58 4f c3 22 16 e0 12 76 99 63 5c 27 89 f5 49 e0 73 0c 05 9b 81 ae 13 30 16 a6 9c 21 e2 3f 18 59 a9 5f 06 d5 2b 7b f1 49 a8 f2 fe 4e 85 35 c8 a8 29 b4 49 c5 ff -- the public key
ff ff ff ff
01 -- outputs
a0 86 01 00 00 00 00 00 19 76 a9 14 70 79 2f b7 4a 5d f7 45 ba c0 7d f6 fe 02 0f 87 1c bb 29 3b 88 ac
00 00 00 00
now calculate the messagehash like this:
- replace one inputscript by the corresponding output script
- replace the other input scripts by '00'
- append '01 00 00 00' for the hash type at the end of the transaction
- calculate the 'shasha'
## calculate m1
shasha(
01 00 00 00
02 -- inputs
f6 4c 60 3e 2f 9f 4d af 70 c2 f4 25 2b 2d cd b0 7c c0 19 2b 72 38 bc 9c 3d ac ba e5 55 ba f7 01 01 00 00 00
19 76 a9 14 70 79 2f b7 4a 5d f7 45 ba c0 7d f6 fe 02 0f 87 1c bb 29 3b 88 ac -- replaced the first with output script, see 'txnsrc 1' below
ff ff ff ff
29 f8 41 db 2b a0 ca fa 3a 2a 89 3c d1 d8 c3 e9 62 e8 67 8f c6 1e be 89 f4 15 a4 6b c8 d9 85 4a 01 00 00 00
00 -- replaced the second with empty script
ff ff ff ff
01 -- outputs
a0 86 01 00 00 00 00 00 19 76 a9 14 70 79 2f b7 4a 5d f7 45 ba c0 7d f6 fe 02 0f 87 1c bb 29 3b 88 ac
00 00 00 00
-- and the hashtype
01 00 00 00
) = c0 e2 d0 a8 9a 34 8d e8 8f da 08 21 1c 70 d1 d7 e5 2c ce f2 eb 94 59 91 1b f9 77 d5 87 78 4c 6e
## calculate m2
shasha(
01 00 00 00
02 -- inputs
f6 4c 60 3e 2f 9f 4d af 70 c2 f4 25 2b 2d cd b0 7c c0 19 2b 72 38 bc 9c 3d ac ba e5 55 ba f7 01 01 00 00 00
00 -- replaced the first with empty script
ff ff ff ff
29 f8 41 db 2b a0 ca fa 3a 2a 89 3c d1 d8 c3 e9 62 e8 67 8f c6 1e be 89 f4 15 a4 6b c8 d9 85 4a 01 00 00 00
19 76 a9 14 70 79 2f b7 4a 5d f7 45 ba c0 7d f6 fe 02 0f 87 1c bb 29 3b 88 ac -- replaced the second with output script, see 'txnsrc 2' below
ff ff ff ff
01 -- outputs
a0 86 01 00 00 00 00 00 19 76 a9 14 70 79 2f b7 4a 5d f7 45 ba c0 7d f6 fe 02 0f 87 1c bb 29 3b 88 ac
00 00 00 00
-- and the hashtype
01 00 00 00
) = 17 b0 f4 1c 8c 33 7a c1 e1 8c 98 75 9e 83 a8 cc cb c3 68 dd 9d 89 e5 f0 3c b6 33 c2 65 fd 0d dc
-------
## txnsrc 1
shasha(
01 00 00 00
01
c4 c8 6a e5 40 d3 40 47 1b 03 83 3c b6 73 86 b0 60 a7 a5 63 2f 1e e7 30 c7 1e f6 90 9e 90 eb 9c 00 00 00 00
8b 48 30 45 02 21 00 87 87 14 0a 00 fd b0 5e 55 ef 66 0f 54 c3 f5 1d 84 99 35 d1 4b c2 e2 c6 0f b9 7a 05 1a 1d a3 c7 02 20 79 7b 5e b2 65 24 6e 63 cb 06 1a b2 77 c5 41 a3 ba 42 37 d5 b3 c5 fe 94 b6 af 94 00 72 3a 87 90 01 41 04 04 c6 d6 28 a1 2e 1c bf 01 b1 d8 31 6c b1 c0 9a 38 16 33 69 f1 11 3a 26 51 35 65 a1 a2 44 5e 2e 12 fd ac 74 8c ec 24 34 42 c6 18 5e 5e 2c 26 47 f9 93 c8 8a ff 95 d9 22 f6 51 17 d7 3d a5 66 cc
ff ff ff ff
02 -- outputs
d0 dc f7 05 00 00 00 00 19 76 a9 14 fc 41 ce e3 55 d1 0b 86 31 37 00 63 82 c8 09 ae c1 dd f3 3c 88 ac --- output #0
d0 fb 01 00 00 00 00 00 19 76 a9 14 70 79 2f b7 4a 5d f7 45 ba c0 7d f6 fe 02 0f 87 1c bb 29 3b 88 ac --- output #1
00 00 00 00
) = f6 4c 60 3e 2f 9f 4d af 70 c2 f4 25 2b 2d cd b0 7c c0 19 2b 72 38 bc 9c 3d ac ba e5 55 ba f7 01
## txnsrc 2
shasha(
01 00 00 00
01
c4 c8 6a e5 40 d3 40 47 1b 03 83 3c b6 73 86 b0 60 a7 a5 63 2f 1e e7 30 c7 1e f6 90 9e 90 eb 9c 01 00 00 00
8a 47 30 44 02 20 d4 7c e4 c0 25 c3 5e c4 40 bc 81 d9 98 34 a6 24 87 51 61 a2 6b f5 6e f7 fd c0 f5 d5 2f 84 3a d1 02 20 12 a8 c1 d5 c6 02 e3 82 c1 78 fb fc b9 57 e8 ec c3 47 f1 ba f7 8a 20 6f 20 a9 7f f4 c4 33 e1 46 01 41 04 db d0 c6 15 32 27 9c f7 29 81 c3 58 4f c3 22 16 e0 12 76 99 63 5c 27 89 f5 49 e0 73 0c 05 9b 81 ae 13 30 16 a6 9c 21 e2 3f 18 59 a9 5f 06 d5 2b 7b f1 49 a8 f2 fe 4e 85 35 c8 a8 29 b4 49 c5 ff
ff ff ff ff
02 -- outputs
50 c3 00 00 00 00 00 00 19 76 a9 14 01 94 53 ca 35 e7 cd c4 31 18 dd a7 bc 81 ee 98 1b d6 f9 24 88 ac --- output #0
20 4e 00 00 00 00 00 00 19 76 a9 14 70 79 2f b7 4a 5d f7 45 ba c0 7d f6 fe 02 0f 87 1c bb 29 3b 88 ac --- output #1
00 00 00 00
) = 29 f8 41 db 2b a0 ca fa 3a 2a 89 3c d1 d8 c3 e9 62 e8 67 8f c6 1e be 89 f4 15 a4 6b c8 d9 85 4a
@fad98, I don't see an easy solution there.
They are all for address: 189cKpEVEa8nnUf4hC7qvgV65z9GBHD3oq
Here I made a graph of how those transactions are related.
green marks the r-values from your values., blue marks the pubkeys for your values.