{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:JHRMDPRZ3V6KNEDXXYZKTUDITV","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"947b9a411d28bfd1454d2aad511b967c5c4d1ad55e6efc430b45a34c7687c442","cross_cats_sorted":["cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2011-03-19T21:22:37Z","title_canon_sha256":"a8ea0f5ac024f25e1a6f7cbd1026918f911ac293635b32143f342b40d98fe816"},"schema_version":"1.0","source":{"id":"1103.3810","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.3810","created_at":"2026-05-18T04:07:52Z"},{"alias_kind":"arxiv_version","alias_value":"1103.3810v2","created_at":"2026-05-18T04:07:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.3810","created_at":"2026-05-18T04:07:52Z"},{"alias_kind":"pith_short_12","alias_value":"JHRMDPRZ3V6K","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"JHRMDPRZ3V6KNEDX","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"JHRMDPRZ","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:cdcf364bf2e882252876f51097f8723db11bd13d031c49deb6ca84e5ef6fdad2","target":"graph","created_at":"2026-05-18T04:07:52Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"(Note. The results of this manuscript has been merged and published with another paper of the same authors: A new approach to nonrepetitve sequences.)\n  A repetition of size $h$ ($h\\geqslant1$) in a given sequence is a subsequence of consecutive terms of the form: $xx=x_1... x_hx_1... x_h$. A sequence is nonrepetitive if it does not contain a repetition of any size. The remarkable construction of Thue asserts that 3 different symbols are enough to build an arbitrarily long nonrepetitive sequence. We consider game-theoretic versions of results on nonrepetitive sequences. A nonrepetitive game is","authors_text":"Jakub Kozik, Jaros{\\l}aw Grytczuk, Piotr Micek","cross_cats":["cs.DM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2011-03-19T21:22:37Z","title":"Nonrepetitive games"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.3810","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:e6e3e970a305c9ae6417b37b9f82adbe0813ee2fae3682387936a768dde8edf5","target":"record","created_at":"2026-05-18T04:07:52Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"947b9a411d28bfd1454d2aad511b967c5c4d1ad55e6efc430b45a34c7687c442","cross_cats_sorted":["cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2011-03-19T21:22:37Z","title_canon_sha256":"a8ea0f5ac024f25e1a6f7cbd1026918f911ac293635b32143f342b40d98fe816"},"schema_version":"1.0","source":{"id":"1103.3810","kind":"arxiv","version":2}},"canonical_sha256":"49e2c1be39dd7ca69077be32a9d0689d79a4968cbc642ecd3a9705537c95957f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"49e2c1be39dd7ca69077be32a9d0689d79a4968cbc642ecd3a9705537c95957f","first_computed_at":"2026-05-18T04:07:52.615986Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:07:52.615986Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RQuVKYlJX81Yi4YR3mqwrsLU+CgxqTcnS6lFbwRSgD8llmnERbt/Rt1tLcncCP7yYcFtXroiVfQhp2DSY4cuDg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:07:52.616670Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.3810","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e6e3e970a305c9ae6417b37b9f82adbe0813ee2fae3682387936a768dde8edf5","sha256:cdcf364bf2e882252876f51097f8723db11bd13d031c49deb6ca84e5ef6fdad2"],"state_sha256":"4c86681e7bd0fbabc1db6a43d4e0dfe24208181ca2d936e70d52ca1367c91d17"}