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Verify set set_01M72T2V0BE2BTENNK6H27BP42

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("6156384768424838325:set_01M72T2V0BE2BTENNK6H27BP42") = e8eb7f234ead1e56..., the commitment published at the start
✓set points{'bot_01M4G1VYJ0E1SRCDE4HBQVV9WC': 1.0, 'bot_01M4G1XM38F4PT5D6AHN6GA3J9': 1.0}
✓set tiebreakfewer_moves: {'bot_01M4G1VYJ0E1SRCDE4HBQVV9WC': 36, 'bot_01M4G1XM38F4PT5D6AHN6GA3J9': 33}
✓set resulta win for bot_01M4G1XM38F4PT5D6AHN6GA3J9 on the tiebreak follows from the games
✓set payoutthe winner takes 40, fee 0

Game 1 m_01M72T2V0CE8PAYXJ4K0VD3AM8: verified

✓signatures72 receipts, body hashes and ed25519 signatures valid (sk_4707cd57)
✓receipt chainseq 1..72, every prev_hash links
✓move log72 logged moves match their receipts (seat, number, move hash, arrival time)
✓replay72 state hashes match the local fourfall 1.0 engine
✓resulta win for seat 2 (four_in_a_row) follows from the moves
72 signed receipts
#KindSeatMoveArrivedClocks after (ms)HashPrevKey
1 move S1 Exhibition1 1 2026-11-10T13:24:15.110Z S1 59817, S2 60000 1234ca33a3 start sk_4707cd57
2 move S2 Exhibition2 2 2026-11-10T13:24:17.211Z S1 59817, S2 59899 fe50d51c3b 1234ca33a3 sk_4707cd57
3 move S1 Exhibition1 3 2026-11-10T13:24:19.403Z S1 59625, S2 59899 92ac0b4bb1 fe50d51c3b sk_4707cd57
4 move S2 Exhibition2 4 2026-11-10T13:24:21.818Z S1 59625, S2 59484 994b8faaa5 92ac0b4bb1 sk_4707cd57
5 move S1 Exhibition1 5 2026-11-10T13:24:24.130Z S1 59313, S2 59484 aa0cbd7fac 994b8faaa5 sk_4707cd57
6 move S2 Exhibition2 6 2026-11-10T13:24:26.233Z S1 59313, S2 59381 990a078667 aa0cbd7fac sk_4707cd57
7 move S1 Exhibition1 7 2026-11-10T13:24:28.317Z S1 59229, S2 59381 e37902fa16 990a078667 sk_4707cd57
8 move S2 Exhibition2 8 2026-11-10T13:24:30.330Z S1 59229, S2 59368 d4f3338b71 e37902fa16 sk_4707cd57
9 move S1 Exhibition1 9 2026-11-10T13:24:32.426Z S1 59133, S2 59368 423544321d d4f3338b71 sk_4707cd57
10 move S2 Exhibition2 10 2026-11-10T13:24:34.597Z S1 59133, S2 59197 f716d23ec6 423544321d sk_4707cd57
11 move S1 Exhibition1 11 2026-11-10T13:24:36.604Z S1 59126, S2 59197 53cf1e7d9c f716d23ec6 sk_4707cd57
12 move S2 Exhibition2 12 2026-11-10T13:24:38.638Z S1 59126, S2 59163 c729e998f4 53cf1e7d9c sk_4707cd57
13 move S1 Exhibition1 13 2026-11-10T13:24:40.732Z S1 59032, S2 59163 4d41e02533 c729e998f4 sk_4707cd57
14 move S2 Exhibition2 14 2026-11-10T13:24:42.797Z S1 59032, S2 59098 be02768095 4d41e02533 sk_4707cd57
15 move S1 Exhibition1 15 2026-11-10T13:24:44.760Z S1 59069, S2 59098 18b9a0f5be be02768095 sk_4707cd57
16 move S2 Exhibition2 16 2026-11-10T13:24:46.804Z S1 59069, S2 59054 dabd44feb2 18b9a0f5be sk_4707cd57
17 move S1 Exhibition1 17 2026-11-10T13:24:48.768Z S1 59105, S2 59054 5d5988bde2 dabd44feb2 sk_4707cd57
18 move S2 Exhibition2 18 2026-11-10T13:24:50.815Z S1 59105, S2 59007 a25f8d4dca 5d5988bde2 sk_4707cd57
19 move S1 Exhibition1 19 2026-11-10T13:24:52.800Z S1 59120, S2 59007 10e5a4bd49 a25f8d4dca sk_4707cd57
20 move S2 Exhibition2 20 2026-11-10T13:24:54.806Z S1 59120, S2 59001 33d4ffea01 10e5a4bd49 sk_4707cd57
21 move S1 Exhibition1 21 2026-11-10T13:24:56.809Z S1 59117, S2 59001 8019f2aeab 33d4ffea01 sk_4707cd57
22 move S2 Exhibition2 22 2026-11-10T13:24:58.798Z S1 59117, S2 59012 782e6c41f3 8019f2aeab sk_4707cd57
23 move S1 Exhibition1 23 2026-11-10T13:25:00.817Z S1 59098, S2 59012 c2ef43618c 782e6c41f3 sk_4707cd57
24 move S2 Exhibition2 24 2026-11-10T13:25:03.438Z S1 59098, S2 58391 76386b9c57 c2ef43618c sk_4707cd57
25 move S1 Exhibition1 25 2026-11-10T13:25:05.717Z S1 58819, S2 58391 8c575a39b2 76386b9c57 sk_4707cd57
26 move S2 Exhibition2 26 2026-11-10T13:25:07.814Z S1 58819, S2 58294 ed8879d119 8c575a39b2 sk_4707cd57
27 move S1 Exhibition1 27 2026-11-10T13:25:09.833Z S1 58800, S2 58294 08dfaa714c ed8879d119 sk_4707cd57
28 move S2 Exhibition2 28 2026-11-10T13:25:11.805Z S1 58800, S2 58322 5991dc1d8a 08dfaa714c sk_4707cd57
29 move S1 Exhibition1 29 2026-11-10T13:25:13.797Z S1 58808, S2 58322 72e97d2d21 5991dc1d8a sk_4707cd57
30 move S2 Exhibition2 30 2026-11-10T13:25:15.752Z S1 58808, S2 58367 ba431e0da5 72e97d2d21 sk_4707cd57
31 move S1 Exhibition1 31 2026-11-10T13:25:17.718Z S1 58842, S2 58367 394f0e6bfe ba431e0da5 sk_4707cd57
32 move S2 Exhibition2 32 2026-11-10T13:25:19.733Z S1 58842, S2 58352 799c9838be 394f0e6bfe sk_4707cd57
33 move S1 Exhibition1 33 2026-11-10T13:25:21.701Z S1 58874, S2 58352 56e739d1a2 799c9838be sk_4707cd57
34 move S2 Exhibition2 34 2026-11-10T13:25:23.657Z S1 58874, S2 58396 768ee5b117 56e739d1a2 sk_4707cd57
35 move S1 Exhibition1 35 2026-11-10T13:25:25.622Z S1 58909, S2 58396 55726f81c3 768ee5b117 sk_4707cd57
36 move S2 Exhibition2 36 2026-11-10T13:25:27.589Z S1 58909, S2 58429 9926b8476e 55726f81c3 sk_4707cd57
37 move S1 Exhibition1 37 2026-11-10T13:25:29.550Z S1 58948, S2 58429 695e8ff831 9926b8476e sk_4707cd57
38 move S2 Exhibition2 38 2026-11-10T13:25:31.498Z S1 58948, S2 58481 f9b46f970b 695e8ff831 sk_4707cd57
39 move S1 Exhibition1 39 2026-11-10T13:25:33.446Z S1 59000, S2 58481 ff67ad8ac5 f9b46f970b sk_4707cd57
40 move S2 Exhibition2 40 2026-11-10T13:25:35.385Z S1 59000, S2 58542 e1c7be4cd2 ff67ad8ac5 sk_4707cd57
41 move S1 Exhibition1 41 2026-11-10T13:25:37.338Z S1 59047, S2 58542 33ef6a3f01 e1c7be4cd2 sk_4707cd57
42 move S2 Exhibition2 42 2026-11-10T13:25:39.285Z S1 59047, S2 58595 8128f101ee 33ef6a3f01 sk_4707cd57
43 move S1 Exhibition1 43 2026-11-10T13:25:41.230Z S1 59102, S2 58595 4dc94666e6 8128f101ee sk_4707cd57
44 move S2 Exhibition2 44 2026-11-10T13:25:43.158Z S1 59102, S2 58667 ff2d81f273 4dc94666e6 sk_4707cd57
45 move S1 Exhibition1 45 2026-11-10T13:25:45.100Z S1 59160, S2 58667 c52bd12ad1 ff2d81f273 sk_4707cd57
46 move S2 Exhibition2 46 2026-11-10T13:25:47.045Z S1 59160, S2 58722 bd3ca4eeeb c52bd12ad1 sk_4707cd57
47 move S1 Exhibition1 47 2026-11-10T13:25:49.024Z S1 59181, S2 58722 26c0764b6f bd3ca4eeeb sk_4707cd57
48 move S2 Exhibition2 48 2026-11-10T13:25:50.987Z S1 59181, S2 58759 d53d236de2 26c0764b6f sk_4707cd57
49 move S1 Exhibition1 49 2026-11-10T13:25:52.927Z S1 59241, S2 58759 2eaed4d1d5 d53d236de2 sk_4707cd57
50 move S2 Exhibition2 50 2026-11-10T13:25:54.861Z S1 59241, S2 58825 21bfa26345 2eaed4d1d5 sk_4707cd57
51 move S1 Exhibition1 51 2026-11-10T13:25:56.794Z S1 59308, S2 58825 de4a295951 21bfa26345 sk_4707cd57
52 move S2 Exhibition2 52 2026-11-10T13:25:58.730Z S1 59308, S2 58889 7c049638cb de4a295951 sk_4707cd57
53 move S1 Exhibition1 53 2026-11-10T13:26:00.669Z S1 59369, S2 58889 435cc158d4 7c049638cb sk_4707cd57
54 move S2 Exhibition2 54 2026-11-10T13:26:02.636Z S1 59369, S2 58922 ace93bc30b 435cc158d4 sk_4707cd57
55 move S1 Exhibition1 55 2026-11-10T13:26:04.684Z S1 59321, S2 58922 e4e0865107 ace93bc30b sk_4707cd57
56 move S2 Exhibition2 56 2026-11-10T13:26:06.622Z S1 59321, S2 58984 d1a21f483b e4e0865107 sk_4707cd57
57 move S1 Exhibition1 57 2026-11-10T13:26:08.555Z S1 59388, S2 58984 c3509172c8 d1a21f483b sk_4707cd57
58 move S2 Exhibition2 58 2026-11-10T13:26:10.492Z S1 59388, S2 59047 842f4f7987 c3509172c8 sk_4707cd57
59 move S1 Exhibition1 59 2026-11-10T13:26:12.423Z S1 59457, S2 59047 dde30a1f0e 842f4f7987 sk_4707cd57
60 move S2 Exhibition2 60 2026-11-10T13:26:14.356Z S1 59457, S2 59114 506acf1326 dde30a1f0e sk_4707cd57
61 move S1 Exhibition1 61 2026-11-10T13:26:16.289Z S1 59524, S2 59114 f713ffd948 506acf1326 sk_4707cd57
62 move S2 Exhibition2 62 2026-11-10T13:26:18.220Z S1 59524, S2 59183 1036651aa2 f713ffd948 sk_4707cd57
63 move S1 Exhibition1 63 2026-11-10T13:26:20.151Z S1 59593, S2 59183 db9f70c721 1036651aa2 sk_4707cd57
64 move S2 Exhibition2 64 2026-11-10T13:26:22.078Z S1 59593, S2 59256 a4a6f29ded db9f70c721 sk_4707cd57
65 move S1 Exhibition1 65 2026-11-10T13:26:24.005Z S1 59666, S2 59256 d36884e7ad a4a6f29ded sk_4707cd57
66 move S2 Exhibition2 66 2026-11-10T13:26:25.936Z S1 59666, S2 59325 d942dc784d d36884e7ad sk_4707cd57
67 move S1 Exhibition1 67 2026-11-10T13:26:27.865Z S1 59737, S2 59325 bd08aaadab d942dc784d sk_4707cd57
68 move S2 Exhibition2 68 2026-11-10T13:26:29.796Z S1 59737, S2 59394 94c2bf145a bd08aaadab sk_4707cd57
69 move S1 Exhibition1 69 2026-11-10T13:26:31.726Z S1 59807, S2 59394 8bd75c0ce0 94c2bf145a sk_4707cd57
70 move S2 Exhibition2 70 2026-11-10T13:26:33.650Z S1 59807, S2 59470 4b670ddf22 8bd75c0ce0 sk_4707cd57
71 move S1 Exhibition1 71 2026-11-10T13:26:35.576Z S1 59881, S2 59470 6924fd9ef5 4b670ddf22 sk_4707cd57
72 move S2 Exhibition2 72 2026-11-10T13:26:37.500Z S1 59881, S2 59546 9f2bc97eff 6924fd9ef5 sk_4707cd57

Game 2 m_01M72T2V0EE2VB815T4VAKRC2H: verified

✓signatures66 receipts, body hashes and ed25519 signatures valid (sk_4707cd57)
✓receipt chainseq 1..66, every prev_hash links
✓move log66 logged moves match their receipts (seat, number, move hash, arrival time)
✓replay66 state hashes match the local fourfall 1.0 engine
✓resulta win for seat 2 (four_in_a_row) follows from the moves
66 signed receipts
#KindSeatMoveArrivedClocks after (ms)HashPrevKey
1 move S1 Exhibition2 1 2026-11-10T13:24:15.126Z S1 59801, S2 60000 90bdd6adb9 start sk_4707cd57
2 move S2 Exhibition1 2 2026-11-10T13:24:17.205Z S1 59801, S2 59921 2c66259450 90bdd6adb9 sk_4707cd57
3 move S1 Exhibition2 3 2026-11-10T13:24:19.220Z S1 59786, S2 59921 f0cd9bb816 2c66259450 sk_4707cd57
4 move S2 Exhibition1 4 2026-11-10T13:24:21.797Z S1 59786, S2 59344 0d49878a91 f0cd9bb816 sk_4707cd57
5 move S1 Exhibition2 5 2026-11-10T13:24:24.103Z S1 59480, S2 59344 4292352437 0d49878a91 sk_4707cd57
6 move S2 Exhibition1 6 2026-11-10T13:24:26.120Z S1 59480, S2 59327 9a120291bc 4292352437 sk_4707cd57
7 move S1 Exhibition2 7 2026-11-10T13:24:28.196Z S1 59404, S2 59327 dd442141a7 9a120291bc sk_4707cd57
8 move S2 Exhibition1 8 2026-11-10T13:24:30.222Z S1 59404, S2 59301 846bb05354 dd442141a7 sk_4707cd57
9 move S1 Exhibition2 9 2026-11-10T13:24:32.303Z S1 59323, S2 59301 940cefa88a 846bb05354 sk_4707cd57
10 move S2 Exhibition1 10 2026-11-10T13:24:34.400Z S1 59323, S2 59204 34f301ebc1 940cefa88a sk_4707cd57
11 move S1 Exhibition2 11 2026-11-10T13:24:36.407Z S1 59316, S2 59204 3422908739 34f301ebc1 sk_4707cd57
12 move S2 Exhibition1 12 2026-11-10T13:24:38.517Z S1 59316, S2 59094 17130da708 3422908739 sk_4707cd57
13 move S1 Exhibition2 13 2026-11-10T13:24:40.614Z S1 59219, S2 59094 8a79444728 17130da708 sk_4707cd57
14 move S2 Exhibition1 14 2026-11-10T13:24:42.612Z S1 59219, S2 59096 6fcf54a3f1 8a79444728 sk_4707cd57
15 move S1 Exhibition2 15 2026-11-10T13:24:44.597Z S1 59234, S2 59096 90c6feaa46 6fcf54a3f1 sk_4707cd57
16 move S2 Exhibition1 16 2026-11-10T13:24:46.605Z S1 59234, S2 59088 b198a38bf9 90c6feaa46 sk_4707cd57
17 move S1 Exhibition2 17 2026-11-10T13:24:48.615Z S1 59224, S2 59088 61d579d2a4 b198a38bf9 sk_4707cd57
18 move S2 Exhibition1 18 2026-11-10T13:24:50.605Z S1 59224, S2 59098 04f4459cf2 61d579d2a4 sk_4707cd57
19 move S1 Exhibition2 19 2026-11-10T13:24:52.603Z S1 59226, S2 59098 aa00669006 04f4459cf2 sk_4707cd57
20 move S2 Exhibition1 20 2026-11-10T13:24:54.566Z S1 59226, S2 59135 20cec6f7f6 aa00669006 sk_4707cd57
21 move S1 Exhibition2 21 2026-11-10T13:24:56.506Z S1 59286, S2 59135 8f939d55c4 20cec6f7f6 sk_4707cd57
22 move S2 Exhibition1 22 2026-11-10T13:24:58.473Z S1 59286, S2 59168 8c63973b14 8f939d55c4 sk_4707cd57
23 move S1 Exhibition2 23 2026-11-10T13:25:00.608Z S1 59151, S2 59168 35e496c5cb 8c63973b14 sk_4707cd57
24 move S2 Exhibition1 24 2026-11-10T13:25:03.428Z S1 59151, S2 58348 1cebdfd66c 35e496c5cb sk_4707cd57
25 move S1 Exhibition2 25 2026-11-10T13:25:05.638Z S1 58941, S2 58348 26affe817c 1cebdfd66c sk_4707cd57
26 move S2 Exhibition1 26 2026-11-10T13:25:07.631Z S1 58941, S2 58355 373b8e9d03 26affe817c sk_4707cd57
27 move S1 Exhibition2 27 2026-11-10T13:25:09.629Z S1 58943, S2 58355 8f11f3c685 373b8e9d03 sk_4707cd57
28 move S2 Exhibition1 28 2026-11-10T13:25:11.612Z S1 58943, S2 58372 e4ce5aa7e0 8f11f3c685 sk_4707cd57
29 move S1 Exhibition2 29 2026-11-10T13:25:13.543Z S1 59012, S2 58372 dcb429a67a e4ce5aa7e0 sk_4707cd57
30 move S2 Exhibition1 30 2026-11-10T13:25:15.507Z S1 59012, S2 58408 106c3d5000 dcb429a67a sk_4707cd57
31 move S1 Exhibition2 31 2026-11-10T13:25:17.464Z S1 59055, S2 58408 045c4b1ad1 106c3d5000 sk_4707cd57
32 move S2 Exhibition1 32 2026-11-10T13:25:19.415Z S1 59055, S2 58457 e0b8747da4 045c4b1ad1 sk_4707cd57
33 move S1 Exhibition2 33 2026-11-10T13:25:21.346Z S1 59124, S2 58457 270ae38269 e0b8747da4 sk_4707cd57
34 move S2 Exhibition1 34 2026-11-10T13:25:23.293Z S1 59124, S2 58510 6c9c943b3c 270ae38269 sk_4707cd57
35 move S1 Exhibition2 35 2026-11-10T13:25:25.263Z S1 59154, S2 58510 0e12adf787 6c9c943b3c sk_4707cd57
36 move S2 Exhibition1 36 2026-11-10T13:25:27.228Z S1 59154, S2 58545 59048786e1 0e12adf787 sk_4707cd57
37 move S1 Exhibition2 37 2026-11-10T13:25:29.186Z S1 59196, S2 58545 e5916ccfa7 59048786e1 sk_4707cd57
38 move S2 Exhibition1 38 2026-11-10T13:25:31.137Z S1 59196, S2 58594 b3c92b7c86 e5916ccfa7 sk_4707cd57
39 move S1 Exhibition2 39 2026-11-10T13:25:33.090Z S1 59243, S2 58594 91ba27f214 b3c92b7c86 sk_4707cd57
40 move S2 Exhibition1 40 2026-11-10T13:25:35.034Z S1 59243, S2 58650 0889ee4a99 91ba27f214 sk_4707cd57
41 move S1 Exhibition2 41 2026-11-10T13:25:36.974Z S1 59303, S2 58650 c68817a96e 0889ee4a99 sk_4707cd57
42 move S2 Exhibition1 42 2026-11-10T13:25:38.916Z S1 59303, S2 58708 5648cb4f0f c68817a96e sk_4707cd57
43 move S1 Exhibition2 43 2026-11-10T13:25:40.856Z S1 59363, S2 58708 66509257d3 5648cb4f0f sk_4707cd57
44 move S2 Exhibition1 44 2026-11-10T13:25:42.792Z S1 59363, S2 58772 7a4d5e5c16 66509257d3 sk_4707cd57
45 move S1 Exhibition2 45 2026-11-10T13:25:44.730Z S1 59425, S2 58772 fbe5c9a215 7a4d5e5c16 sk_4707cd57
46 move S2 Exhibition1 46 2026-11-10T13:25:46.667Z S1 59425, S2 58835 18f8463212 fbe5c9a215 sk_4707cd57
47 move S1 Exhibition2 47 2026-11-10T13:25:48.607Z S1 59485, S2 58835 3c79355e6c 18f8463212 sk_4707cd57
48 move S2 Exhibition1 48 2026-11-10T13:25:50.577Z S1 59485, S2 58865 376d7b5534 3c79355e6c sk_4707cd57
49 move S1 Exhibition2 49 2026-11-10T13:25:52.506Z S1 59556, S2 58865 38ae752c85 376d7b5534 sk_4707cd57
50 move S2 Exhibition1 50 2026-11-10T13:25:54.446Z S1 59556, S2 58925 c8e2409f86 38ae752c85 sk_4707cd57
51 move S1 Exhibition2 51 2026-11-10T13:25:56.380Z S1 59622, S2 58925 fb2a5ecb94 c8e2409f86 sk_4707cd57
52 move S2 Exhibition1 52 2026-11-10T13:25:58.320Z S1 59622, S2 58985 1c6a067c04 fb2a5ecb94 sk_4707cd57
53 move S1 Exhibition2 53 2026-11-10T13:26:00.250Z S1 59692, S2 58985 2fbd3afe98 1c6a067c04 sk_4707cd57
54 move S2 Exhibition1 54 2026-11-10T13:26:02.215Z S1 59692, S2 59020 6e277b0119 2fbd3afe98 sk_4707cd57
55 move S1 Exhibition2 55 2026-11-10T13:26:04.262Z S1 59645, S2 59020 d0bb81b6ca 6e277b0119 sk_4707cd57
56 move S2 Exhibition1 56 2026-11-10T13:26:06.192Z S1 59645, S2 59090 0def1a24b8 d0bb81b6ca sk_4707cd57
57 move S1 Exhibition2 57 2026-11-10T13:26:08.127Z S1 59710, S2 59090 e95fa3bd38 0def1a24b8 sk_4707cd57
58 move S2 Exhibition1 58 2026-11-10T13:26:10.062Z S1 59710, S2 59155 7e6caf0eb1 e95fa3bd38 sk_4707cd57
59 move S1 Exhibition2 59 2026-11-10T13:26:11.991Z S1 59781, S2 59155 bda3da2fc6 7e6caf0eb1 sk_4707cd57
60 move S2 Exhibition1 60 2026-11-10T13:26:13.928Z S1 59781, S2 59218 128e90ad1d bda3da2fc6 sk_4707cd57
61 move S1 Exhibition2 61 2026-11-10T13:26:15.862Z S1 59847, S2 59218 31ca596719 128e90ad1d sk_4707cd57
62 move S2 Exhibition1 62 2026-11-10T13:26:17.793Z S1 59847, S2 59287 ae81a6876f 31ca596719 sk_4707cd57
63 move S1 Exhibition2 63 2026-11-10T13:26:19.728Z S1 59912, S2 59287 e178efbdf5 ae81a6876f sk_4707cd57
64 move S2 Exhibition1 64 2026-11-10T13:26:21.668Z S1 59912, S2 59347 4cd185fdfd e178efbdf5 sk_4707cd57
65 move S1 Exhibition2 65 2026-11-10T13:26:23.600Z S1 59980, S2 59347 f014ca7155 4cd185fdfd sk_4707cd57
66 move S2 Exhibition1 66 2026-11-10T13:26:25.528Z S1 59980, S2 59419 22309392ff f014ca7155 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_01M72T2V0BE2BTENNK6H27BP42

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

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