{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:FNAJWSW25NX6YIINGARTP47DQW","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":"262eb972823620abf39e2f484918b18c289e5665027335763557e4f80c257e41","cross_cats_sorted":["cond-mat.stat-mech","nlin.PS","q-bio.QM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2014-07-02T15:41:03Z","title_canon_sha256":"1073defbdb9c72374031df5aa121f3b60e5b7c6a732ca9a77165238412020469"},"schema_version":"1.0","source":{"id":"1407.0621","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.0621","created_at":"2026-05-18T02:43:10Z"},{"alias_kind":"arxiv_version","alias_value":"1407.0621v2","created_at":"2026-05-18T02:43:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.0621","created_at":"2026-05-18T02:43:10Z"},{"alias_kind":"pith_short_12","alias_value":"FNAJWSW25NX6","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"FNAJWSW25NX6YIIN","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"FNAJWSW2","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:623269279561da46e559ec55d3b2e238ac58ad25e111397886dc2304895f1916","target":"graph","created_at":"2026-05-18T02:43:10Z","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":"The spatio-temporal arrangement of interacting populations often influences the maintenance of species diversity and is a subject of intense research. Here, we study the spatio-temporal patterns arising from the cyclic competition between three species in two dimensions. Inspired by recent experiments, we consider a generic metapopulation model comprising \"rock-paper-scissors\" interactions via dominance removal and replacement, reproduction, mutations, pair-exchange and hopping of individuals. By combining analytical and numerical methods, we obtain the model's phase diagram near its Hopf bifu","authors_text":"Alastair M. Rucklidge, Bartosz Szczesny, Mauro Mobilia","cross_cats":["cond-mat.stat-mech","nlin.PS","q-bio.QM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2014-07-02T15:41:03Z","title":"Characterization of spiraling patterns in spatial rock-paper-scissors games"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.0621","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":"sha256:2cfb252a10d2bf97f6b3c26bb72d759102e69bcab87185c3f21a65c5708976bb","target":"record","created_at":"2026-05-18T02:43:10Z","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":"262eb972823620abf39e2f484918b18c289e5665027335763557e4f80c257e41","cross_cats_sorted":["cond-mat.stat-mech","nlin.PS","q-bio.QM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2014-07-02T15:41:03Z","title_canon_sha256":"1073defbdb9c72374031df5aa121f3b60e5b7c6a732ca9a77165238412020469"},"schema_version":"1.0","source":{"id":"1407.0621","kind":"arxiv","version":2}},"canonical_sha256":"2b409b4adaeb6fec210d302337f3e3859afc34d9e351f72c615ff72611b9ea78","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2b409b4adaeb6fec210d302337f3e3859afc34d9e351f72c615ff72611b9ea78","first_computed_at":"2026-05-18T02:43:10.645261Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:43:10.645261Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RyC3EeysGAsbV7gOOTbt/2RJGPFfcFShzwl7UBAvDZ/6TqbXXr88W025p1LqwF6xGwsnM6e0QH4hhnVZjVMuBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:43:10.645712Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.0621","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2cfb252a10d2bf97f6b3c26bb72d759102e69bcab87185c3f21a65c5708976bb","sha256:623269279561da46e559ec55d3b2e238ac58ad25e111397886dc2304895f1916"],"state_sha256":"11678c614a18a7a88d4e51314229694cfe9486fee69a62a86a72b38ee4a8ce72"}