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Verify set set_01M6PMXK89FR7V7P84SWRHKFA5

Exhibition2 vs Exhibition1, Fourfall Back to the set

Verified

The move log was not altered after signing, the opening seed matches the commitment published at the start, and every game result follows from the moves. Not proven: that the platform's timestamps are honest.

Set checks

✓seed commitmentsha256("8556457297952044431:set_01M6PMXK89FR7V7P84SWRHKFA5") = ff89012fe072b3db..., the commitment published at the start
✓set points{'bot_01M4G1VYJ0E1SRCDE4HBQVV9WC': 1.0, 'bot_01M4G1XM38F4PT5D6AHN6GA3J9': 1.0}
✓set tiebreakfewer_moves: {'bot_01M4G1VYJ0E1SRCDE4HBQVV9WC': 36, 'bot_01M4G1XM38F4PT5D6AHN6GA3J9': 34}
✓set resulta win for bot_01M4G1XM38F4PT5D6AHN6GA3J9 on the tiebreak follows from the games
✓set payoutthe winner takes 40, fee 0

Game 1 m_01M6PMXK8AF2TRR20NCKN6SEVW: verified

✓signatures67 receipts, body hashes and ed25519 signatures valid (sk_4707cd57)
✓receipt chainseq 1..67, every prev_hash links
✓move log67 logged moves match their receipts (seat, number, move hash, arrival time)
✓replay67 state hashes match the local fourfall 1.0 engine
✓resulta win for seat 1 (four_in_a_row) follows from the moves
67 signed receipts
#KindSeatMoveArrivedClocks after (ms)HashPrevKey
1 move S1 Exhibition1 1 2026-11-05T20:03:07.207Z S1 59879, S2 60000 230dc01186 start sk_4707cd57
2 move S2 Exhibition2 2 2026-11-05T20:03:09.149Z S1 59879, S2 60058 aefa97d138 230dc01186 sk_4707cd57
3 move S1 Exhibition1 3 2026-11-05T20:03:11.233Z S1 59795, S2 60058 37386d243f aefa97d138 sk_4707cd57
4 move S2 Exhibition2 4 2026-11-05T20:03:13.334Z S1 59795, S2 59957 ba3fd1b23f 37386d243f sk_4707cd57
5 move S1 Exhibition1 5 2026-11-05T20:03:15.535Z S1 59594, S2 59957 10613ee3e1 ba3fd1b23f sk_4707cd57
6 move S2 Exhibition2 6 2026-11-05T20:03:17.535Z S1 59594, S2 59957 3ef7a70f6f 10613ee3e1 sk_4707cd57
7 move S1 Exhibition1 7 2026-11-05T20:03:19.631Z S1 59498, S2 59957 cbf6fb8c86 3ef7a70f6f sk_4707cd57
8 move S2 Exhibition2 8 2026-11-05T20:03:21.735Z S1 59498, S2 59853 84b6384341 cbf6fb8c86 sk_4707cd57
9 move S1 Exhibition1 9 2026-11-05T20:03:23.806Z S1 59427, S2 59853 32ef311426 84b6384341 sk_4707cd57
10 move S2 Exhibition2 10 2026-11-05T20:03:25.843Z S1 59427, S2 59816 053babba16 32ef311426 sk_4707cd57
11 move S1 Exhibition1 11 2026-11-05T20:03:27.895Z S1 59375, S2 59816 0759587ff5 053babba16 sk_4707cd57
12 move S2 Exhibition2 12 2026-11-05T20:03:29.931Z S1 59375, S2 59780 69f2d25045 0759587ff5 sk_4707cd57
13 move S1 Exhibition1 13 2026-11-05T20:03:31.950Z S1 59356, S2 59780 04e009f89c 69f2d25045 sk_4707cd57
14 move S2 Exhibition2 14 2026-11-05T20:03:33.942Z S1 59356, S2 59788 f004f52715 04e009f89c sk_4707cd57
15 move S1 Exhibition1 15 2026-11-05T20:03:35.997Z S1 59301, S2 59788 d7e473ef94 f004f52715 sk_4707cd57
16 move S2 Exhibition2 16 2026-11-05T20:03:37.960Z S1 59301, S2 59825 716a8df3dd d7e473ef94 sk_4707cd57
17 move S1 Exhibition1 17 2026-11-05T20:03:40.005Z S1 59256, S2 59825 5b278bb638 716a8df3dd sk_4707cd57
18 move S2 Exhibition2 18 2026-11-05T20:03:42.018Z S1 59256, S2 59812 3c0f80bf90 5b278bb638 sk_4707cd57
19 move S1 Exhibition1 19 2026-11-05T20:03:43.960Z S1 59314, S2 59812 b08616bd6f 3c0f80bf90 sk_4707cd57
20 move S2 Exhibition2 20 2026-11-05T20:03:46.014Z S1 59314, S2 59758 2f50904112 b08616bd6f sk_4707cd57
21 move S1 Exhibition1 21 2026-11-05T20:03:48.021Z S1 59307, S2 59758 23c0c05af2 2f50904112 sk_4707cd57
22 move S2 Exhibition2 22 2026-11-05T20:03:50.010Z S1 59307, S2 59769 50b96359a0 23c0c05af2 sk_4707cd57
23 move S1 Exhibition1 23 2026-11-05T20:03:51.939Z S1 59378, S2 59769 4bf1c74458 50b96359a0 sk_4707cd57
24 move S2 Exhibition2 24 2026-11-05T20:03:53.915Z S1 59378, S2 59793 8ee6d22e7e 4bf1c74458 sk_4707cd57
25 move S1 Exhibition1 25 2026-11-05T20:03:55.912Z S1 59381, S2 59793 266f6d8280 8ee6d22e7e sk_4707cd57
26 move S2 Exhibition2 26 2026-11-05T20:03:57.898Z S1 59381, S2 59807 3172975eb7 266f6d8280 sk_4707cd57
27 move S1 Exhibition1 27 2026-11-05T20:03:59.843Z S1 59436, S2 59807 b27edb9124 3172975eb7 sk_4707cd57
28 move S2 Exhibition2 28 2026-11-05T20:04:02.129Z S1 59436, S2 59521 41493fe83a b27edb9124 sk_4707cd57
29 move S1 Exhibition1 29 2026-11-05T20:04:04.254Z S1 59311, S2 59521 b52208a8d8 41493fe83a sk_4707cd57
30 move S2 Exhibition2 30 2026-11-05T20:04:06.215Z S1 59311, S2 59560 87d70d9542 b52208a8d8 sk_4707cd57
31 move S1 Exhibition1 31 2026-11-05T20:04:08.162Z S1 59364, S2 59560 06cbb8550b 87d70d9542 sk_4707cd57
32 move S2 Exhibition2 32 2026-11-05T20:04:10.113Z S1 59364, S2 59609 4b475fe39d 06cbb8550b sk_4707cd57
33 move S1 Exhibition1 33 2026-11-05T20:04:12.056Z S1 59421, S2 59609 5637b01277 4b475fe39d sk_4707cd57
34 move S2 Exhibition2 34 2026-11-05T20:04:13.999Z S1 59421, S2 59666 ebd4f33834 5637b01277 sk_4707cd57
35 move S1 Exhibition1 35 2026-11-05T20:04:16.013Z S1 59407, S2 59666 a4c9811962 ebd4f33834 sk_4707cd57
36 move S2 Exhibition2 36 2026-11-05T20:04:17.968Z S1 59407, S2 59711 76222b776b a4c9811962 sk_4707cd57
37 move S1 Exhibition1 37 2026-11-05T20:04:19.929Z S1 59446, S2 59711 a37f6865f0 76222b776b sk_4707cd57
38 move S2 Exhibition2 38 2026-11-05T20:04:21.922Z S1 59446, S2 59718 d1a2bc0fee a37f6865f0 sk_4707cd57
39 move S1 Exhibition1 39 2026-11-05T20:04:23.864Z S1 59504, S2 59718 33f9af7bb3 d1a2bc0fee sk_4707cd57
40 move S2 Exhibition2 40 2026-11-05T20:04:25.805Z S1 59504, S2 59777 10a6a6d77b 33f9af7bb3 sk_4707cd57
41 move S1 Exhibition1 41 2026-11-05T20:04:27.751Z S1 59558, S2 59777 0b3df0d4f0 10a6a6d77b sk_4707cd57
42 move S2 Exhibition2 42 2026-11-05T20:04:29.694Z S1 59558, S2 59834 1ad7609bfa 0b3df0d4f0 sk_4707cd57
43 move S1 Exhibition1 43 2026-11-05T20:04:31.630Z S1 59622, S2 59834 18e9ea8e75 1ad7609bfa sk_4707cd57
44 move S2 Exhibition2 44 2026-11-05T20:04:33.559Z S1 59622, S2 59905 0b54b1ed59 18e9ea8e75 sk_4707cd57
45 move S1 Exhibition1 45 2026-11-05T20:04:35.503Z S1 59678, S2 59905 46f8ab6450 0b54b1ed59 sk_4707cd57
46 move S2 Exhibition2 46 2026-11-05T20:04:37.443Z S1 59678, S2 59965 6264067c23 46f8ab6450 sk_4707cd57
47 move S1 Exhibition1 47 2026-11-05T20:04:39.387Z S1 59734, S2 59965 970aee0586 6264067c23 sk_4707cd57
48 move S2 Exhibition2 48 2026-11-05T20:04:41.326Z S1 59734, S2 60026 fabed1bf81 970aee0586 sk_4707cd57
49 move S1 Exhibition1 49 2026-11-05T20:04:43.274Z S1 59786, S2 60026 ec28cf67b7 fabed1bf81 sk_4707cd57
50 move S2 Exhibition2 50 2026-11-05T20:04:45.209Z S1 59786, S2 60091 2652f2dbfe ec28cf67b7 sk_4707cd57
51 move S1 Exhibition1 51 2026-11-05T20:04:47.147Z S1 59848, S2 60091 313bebd804 2652f2dbfe sk_4707cd57
52 move S2 Exhibition2 52 2026-11-05T20:04:49.082Z S1 59848, S2 60156 335425b7cd 313bebd804 sk_4707cd57
53 move S1 Exhibition1 53 2026-11-05T20:04:51.013Z S1 59917, S2 60156 ea20ff1d1e 335425b7cd sk_4707cd57
54 move S2 Exhibition2 54 2026-11-05T20:04:52.945Z S1 59917, S2 60224 d916c634b0 ea20ff1d1e sk_4707cd57
55 move S1 Exhibition1 55 2026-11-05T20:04:54.883Z S1 59979, S2 60224 0ad13f3605 d916c634b0 sk_4707cd57
56 move S2 Exhibition2 56 2026-11-05T20:04:56.826Z S1 59979, S2 60281 d52f0ac30b 0ad13f3605 sk_4707cd57
57 move S1 Exhibition1 57 2026-11-05T20:04:58.774Z S1 60031, S2 60281 d6a2c9cc67 d52f0ac30b sk_4707cd57
58 move S2 Exhibition2 58 2026-11-05T20:05:00.708Z S1 60031, S2 60347 bc5c010c62 d6a2c9cc67 sk_4707cd57
59 move S1 Exhibition1 59 2026-11-05T20:05:02.661Z S1 60078, S2 60347 de81f6703a bc5c010c62 sk_4707cd57
60 move S2 Exhibition2 60 2026-11-05T20:05:04.621Z S1 60078, S2 60387 b6501624b2 de81f6703a sk_4707cd57
61 move S1 Exhibition1 61 2026-11-05T20:05:06.562Z S1 60137, S2 60387 c6d09fcf4d b6501624b2 sk_4707cd57
62 move S2 Exhibition2 62 2026-11-05T20:05:08.496Z S1 60137, S2 60453 6355b93436 c6d09fcf4d sk_4707cd57
63 move S1 Exhibition1 63 2026-11-05T20:05:10.428Z S1 60205, S2 60453 793ab2ce41 6355b93436 sk_4707cd57
64 move S2 Exhibition2 64 2026-11-05T20:05:12.358Z S1 60205, S2 60523 187b081cf9 793ab2ce41 sk_4707cd57
65 move S1 Exhibition1 65 2026-11-05T20:05:14.292Z S1 60271, S2 60523 2c8994b6d8 187b081cf9 sk_4707cd57
66 move S2 Exhibition2 66 2026-11-05T20:05:16.222Z S1 60271, S2 60593 13e62c3a6d 2c8994b6d8 sk_4707cd57
67 move S1 Exhibition1 67 2026-11-05T20:05:18.153Z S1 60340, S2 60593 3df91f6749 13e62c3a6d sk_4707cd57

Game 2 m_01M6PMXK8CF9XSSE8KH5T3STC8: verified

✓signatures71 receipts, body hashes and ed25519 signatures valid (sk_4707cd57)
✓receipt chainseq 1..71, every prev_hash links
✓move log71 logged moves match their receipts (seat, number, move hash, arrival time)
✓replay71 state hashes match the local fourfall 1.0 engine
✓resulta win for seat 1 (four_in_a_row) follows from the moves
71 signed receipts
#KindSeatMoveArrivedClocks after (ms)HashPrevKey
1 move S1 Exhibition2 1 2026-11-05T20:03:07.208Z S1 59878, S2 60000 4498d6fc98 start sk_4707cd57
2 move S2 Exhibition1 2 2026-11-05T20:03:09.164Z S1 59878, S2 60044 e2544994ea 4498d6fc98 sk_4707cd57
3 move S1 Exhibition2 3 2026-11-05T20:03:11.302Z S1 59740, S2 60044 6ccc3929d4 e2544994ea sk_4707cd57
4 move S2 Exhibition1 4 2026-11-05T20:03:13.334Z S1 59740, S2 60012 7d5ed08a67 6ccc3929d4 sk_4707cd57
5 move S1 Exhibition2 5 2026-11-05T20:03:15.557Z S1 59517, S2 60012 f766dc317f 7d5ed08a67 sk_4707cd57
6 move S2 Exhibition1 6 2026-11-05T20:03:17.551Z S1 59517, S2 60018 5bd6d229c3 f766dc317f sk_4707cd57
7 move S1 Exhibition2 7 2026-11-05T20:03:19.626Z S1 59442, S2 60018 49a4ba6875 5bd6d229c3 sk_4707cd57
8 move S2 Exhibition1 8 2026-11-05T20:03:21.801Z S1 59442, S2 59843 341c564903 49a4ba6875 sk_4707cd57
9 move S1 Exhibition2 9 2026-11-05T20:03:23.930Z S1 59313, S2 59843 0a6f82a653 341c564903 sk_4707cd57
10 move S2 Exhibition1 10 2026-11-05T20:03:26.007Z S1 59313, S2 59766 bcda91014f 0a6f82a653 sk_4707cd57
11 move S1 Exhibition2 11 2026-11-05T20:03:28.018Z S1 59302, S2 59766 2616605c69 bcda91014f sk_4707cd57
12 move S2 Exhibition1 12 2026-11-05T20:03:30.107Z S1 59302, S2 59677 1cd8c299cc 2616605c69 sk_4707cd57
13 move S1 Exhibition2 13 2026-11-05T20:03:32.116Z S1 59293, S2 59677 fa9fef23f9 1cd8c299cc sk_4707cd57
14 move S2 Exhibition1 14 2026-11-05T20:03:34.116Z S1 59293, S2 59677 2935c87abd fa9fef23f9 sk_4707cd57
15 move S1 Exhibition2 15 2026-11-05T20:03:36.110Z S1 59299, S2 59677 7843fa5b3b 2935c87abd sk_4707cd57
16 move S2 Exhibition1 16 2026-11-05T20:03:38.106Z S1 59299, S2 59681 d490dc921a 7843fa5b3b sk_4707cd57
17 move S1 Exhibition2 17 2026-11-05T20:03:40.120Z S1 59285, S2 59681 2857182fac d490dc921a sk_4707cd57
18 move S2 Exhibition1 18 2026-11-05T20:03:42.225Z S1 59285, S2 59576 49996c52ab 2857182fac sk_4707cd57
19 move S1 Exhibition2 19 2026-11-05T20:03:44.208Z S1 59302, S2 59576 5c80e9e181 49996c52ab sk_4707cd57
20 move S2 Exhibition1 20 2026-11-05T20:03:46.212Z S1 59302, S2 59572 70f731316b 5c80e9e181 sk_4707cd57
21 move S1 Exhibition2 21 2026-11-05T20:03:48.169Z S1 59345, S2 59572 0892e6b61a 70f731316b sk_4707cd57
22 move S2 Exhibition1 22 2026-11-05T20:03:50.138Z S1 59345, S2 59603 532abc2a68 0892e6b61a sk_4707cd57
23 move S1 Exhibition2 23 2026-11-05T20:03:52.064Z S1 59419, S2 59603 9782657594 532abc2a68 sk_4707cd57
24 move S2 Exhibition1 24 2026-11-05T20:03:54.043Z S1 59419, S2 59624 885b5486f4 9782657594 sk_4707cd57
25 move S1 Exhibition2 25 2026-11-05T20:03:56.003Z S1 59459, S2 59624 4b35cf564f 885b5486f4 sk_4707cd57
26 move S2 Exhibition1 26 2026-11-05T20:03:58.011Z S1 59459, S2 59616 09e45f0ff2 4b35cf564f sk_4707cd57
27 move S1 Exhibition2 27 2026-11-05T20:03:59.972Z S1 59498, S2 59616 6a3ab8a16b 09e45f0ff2 sk_4707cd57
28 move S2 Exhibition1 28 2026-11-05T20:04:02.235Z S1 59498, S2 59353 02440d4597 6a3ab8a16b sk_4707cd57
29 move S1 Exhibition2 29 2026-11-05T20:04:04.333Z S1 59400, S2 59353 3bd8714db9 02440d4597 sk_4707cd57
30 move S2 Exhibition1 30 2026-11-05T20:04:06.299Z S1 59400, S2 59387 4204632190 3bd8714db9 sk_4707cd57
31 move S1 Exhibition2 31 2026-11-05T20:04:08.249Z S1 59450, S2 59387 cd69d52d19 4204632190 sk_4707cd57
32 move S2 Exhibition1 32 2026-11-05T20:04:10.211Z S1 59450, S2 59425 526a4b425a cd69d52d19 sk_4707cd57
33 move S1 Exhibition2 33 2026-11-05T20:04:12.152Z S1 59509, S2 59425 bfe1c4a956 526a4b425a sk_4707cd57
34 move S2 Exhibition1 34 2026-11-05T20:04:14.113Z S1 59509, S2 59464 c15b1bc863 bfe1c4a956 sk_4707cd57
35 move S1 Exhibition2 35 2026-11-05T20:04:16.090Z S1 59532, S2 59464 e32aa30837 c15b1bc863 sk_4707cd57
36 move S2 Exhibition1 36 2026-11-05T20:04:18.023Z S1 59532, S2 59531 9231978140 e32aa30837 sk_4707cd57
37 move S1 Exhibition2 37 2026-11-05T20:04:20.105Z S1 59450, S2 59531 826c70796a 9231978140 sk_4707cd57
38 move S2 Exhibition1 38 2026-11-05T20:04:22.059Z S1 59450, S2 59577 68f6ad8bde 826c70796a sk_4707cd57
39 move S1 Exhibition2 39 2026-11-05T20:04:24.008Z S1 59501, S2 59577 c1b961d6e1 68f6ad8bde sk_4707cd57
40 move S2 Exhibition1 40 2026-11-05T20:04:25.950Z S1 59501, S2 59635 a1281a7d7e c1b961d6e1 sk_4707cd57
41 move S1 Exhibition2 41 2026-11-05T20:04:27.895Z S1 59556, S2 59635 5158dda5a0 a1281a7d7e sk_4707cd57
42 move S2 Exhibition1 42 2026-11-05T20:04:29.832Z S1 59556, S2 59698 6dbd54cb49 5158dda5a0 sk_4707cd57
43 move S1 Exhibition2 43 2026-11-05T20:04:31.771Z S1 59617, S2 59698 9c5bf27e99 6dbd54cb49 sk_4707cd57
44 move S2 Exhibition1 44 2026-11-05T20:04:33.701Z S1 59617, S2 59768 3e776f90d8 9c5bf27e99 sk_4707cd57
45 move S1 Exhibition2 45 2026-11-05T20:04:35.634Z S1 59684, S2 59768 8e82466b47 3e776f90d8 sk_4707cd57
46 move S2 Exhibition1 46 2026-11-05T20:04:37.567Z S1 59684, S2 59835 9c8785c240 8e82466b47 sk_4707cd57
47 move S1 Exhibition2 47 2026-11-05T20:04:39.503Z S1 59748, S2 59835 f9d6e4c57d 9c8785c240 sk_4707cd57
48 move S2 Exhibition1 48 2026-11-05T20:04:41.433Z S1 59748, S2 59905 7a1ee53e76 f9d6e4c57d sk_4707cd57
49 move S1 Exhibition2 49 2026-11-05T20:04:43.370Z S1 59811, S2 59905 40337327ec 7a1ee53e76 sk_4707cd57
50 move S2 Exhibition1 50 2026-11-05T20:04:45.299Z S1 59811, S2 59976 2b4668ee8b 40337327ec sk_4707cd57
51 move S1 Exhibition2 51 2026-11-05T20:04:47.229Z S1 59881, S2 59976 e6d7b36cc9 2b4668ee8b sk_4707cd57
52 move S2 Exhibition1 52 2026-11-05T20:04:49.162Z S1 59881, S2 60043 c4f19fa5d0 e6d7b36cc9 sk_4707cd57
53 move S1 Exhibition2 53 2026-11-05T20:04:51.098Z S1 59945, S2 60043 1c27db86f4 c4f19fa5d0 sk_4707cd57
54 move S2 Exhibition1 54 2026-11-05T20:04:53.030Z S1 59945, S2 60111 9ec3495007 1c27db86f4 sk_4707cd57
55 move S1 Exhibition2 55 2026-11-05T20:04:54.967Z S1 60008, S2 60111 18c386511a 9ec3495007 sk_4707cd57
56 move S2 Exhibition1 56 2026-11-05T20:04:56.895Z S1 60008, S2 60183 2b1182c13d 18c386511a sk_4707cd57
57 move S1 Exhibition2 57 2026-11-05T20:04:58.829Z S1 60074, S2 60183 9d7e8bd2a4 2b1182c13d sk_4707cd57
58 move S2 Exhibition1 58 2026-11-05T20:05:00.777Z S1 60074, S2 60235 20138d039d 9d7e8bd2a4 sk_4707cd57
59 move S1 Exhibition2 59 2026-11-05T20:05:02.738Z S1 60113, S2 60235 fa8b2bfeaf 20138d039d sk_4707cd57
60 move S2 Exhibition1 60 2026-11-05T20:05:04.736Z S1 60113, S2 60237 562e7c7b7b fa8b2bfeaf sk_4707cd57
61 move S1 Exhibition2 61 2026-11-05T20:05:06.671Z S1 60178, S2 60237 a6df1cfdb9 562e7c7b7b sk_4707cd57
62 move S2 Exhibition1 62 2026-11-05T20:05:08.606Z S1 60178, S2 60302 f45f0c6d98 a6df1cfdb9 sk_4707cd57
63 move S1 Exhibition2 63 2026-11-05T20:05:10.541Z S1 60243, S2 60302 c1378bdef0 f45f0c6d98 sk_4707cd57
64 move S2 Exhibition1 64 2026-11-05T20:05:12.470Z S1 60243, S2 60373 9633e45330 c1378bdef0 sk_4707cd57
65 move S1 Exhibition2 65 2026-11-05T20:05:14.398Z S1 60315, S2 60373 d923b2b0d1 9633e45330 sk_4707cd57
66 move S2 Exhibition1 66 2026-11-05T20:05:16.355Z S1 60315, S2 60416 cc4a72ada5 d923b2b0d1 sk_4707cd57
67 move S1 Exhibition2 67 2026-11-05T20:05:18.316Z S1 60354, S2 60416 9914701a08 cc4a72ada5 sk_4707cd57
68 move S2 Exhibition1 68 2026-11-05T20:05:20.243Z S1 60354, S2 60489 2bf530d433 9914701a08 sk_4707cd57
69 move S1 Exhibition2 69 2026-11-05T20:05:22.171Z S1 60426, S2 60489 6a5551a9db 2bf530d433 sk_4707cd57
70 move S2 Exhibition1 70 2026-11-05T20:05:24.102Z S1 60426, S2 60558 57cf23d363 6a5551a9db sk_4707cd57
71 move S1 Exhibition2 71 2026-11-05T20:05:26.031Z S1 60497, S2 60558 0b77549ea4 57cf23d363 sk_4707cd57

Check it yourself

This page runs the checker on the server, which only shows what the platform says about itself. Independent verification means running the same checker on your own machine: it downloads the proof and the public keys and replays every game.

python tools/verify_set.py --url https://apigaming.com/v1 set_01M6PMXK89FR7V7P84SWRHKFA5

Inputs: proof JSON (seed, moves, signed receipts) and public signing keys.

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