{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:OYTWXHXMXCIA2C6FMZ2JLOZZIJ","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":"669662ede38584873d501f2f5f3bccd5d3710dfa141938aebbd7f4eee5441b23","cross_cats_sorted":["cond-mat.stat-mech","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2010-05-31T16:35:25Z","title_canon_sha256":"f39fb861460df591321bd3c39d31cfc6a521d43a5680d783cc8307fc20e80f66"},"schema_version":"1.0","source":{"id":"1005.5704","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1005.5704","created_at":"2026-05-18T04:27:45Z"},{"alias_kind":"arxiv_version","alias_value":"1005.5704v3","created_at":"2026-05-18T04:27:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.5704","created_at":"2026-05-18T04:27:45Z"},{"alias_kind":"pith_short_12","alias_value":"OYTWXHXMXCIA","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"OYTWXHXMXCIA2C6F","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"OYTWXHXM","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:d5bb94995eeb55ae9a335c4928d83591b84748b56bc7d90e7e5dde6291d04438","target":"graph","created_at":"2026-05-18T04:27:45Z","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":"Species extinction occurs regularly and unavoidably in ecological systems. The time scales for extinction can broadly vary and inform on the ecosystem's stability. We study the spatio-temporal extinction dynamics of a paradigmatic population model where three species exhibit cyclic competition. The cyclic dynamics reflects the non-equilibrium nature of the species interactions. While previous work focusses on the coarsening process as a mechanism that drives the system to extinction, we found that unexpectedly the dynamics to extinction is much richer. We observed three different types of dyna","authors_text":"E. Frey, S. Rulands, T. Reichenbach","cross_cats":["cond-mat.stat-mech","physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2010-05-31T16:35:25Z","title":"Three-fold way to extinction in populations of cyclically competing species"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.5704","kind":"arxiv","version":3},"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:dba7d08064e20ab9774bb4f253cc2746382f1882ef208748b87b1d0fa9c378d5","target":"record","created_at":"2026-05-18T04:27:45Z","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":"669662ede38584873d501f2f5f3bccd5d3710dfa141938aebbd7f4eee5441b23","cross_cats_sorted":["cond-mat.stat-mech","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2010-05-31T16:35:25Z","title_canon_sha256":"f39fb861460df591321bd3c39d31cfc6a521d43a5680d783cc8307fc20e80f66"},"schema_version":"1.0","source":{"id":"1005.5704","kind":"arxiv","version":3}},"canonical_sha256":"76276b9eecb8900d0bc5667495bb39426cf414f3688f0365ac7e78f8e446eeb9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"76276b9eecb8900d0bc5667495bb39426cf414f3688f0365ac7e78f8e446eeb9","first_computed_at":"2026-05-18T04:27:45.333164Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:27:45.333164Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sCaWbZtRPvC4OD1JymtflZM+Fk1yLY+CZ1CwCSCsSyiq8F5Var3OrzmStUrmueCGvQEMlTyRSn+00M9Lza9UAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:27:45.333837Z","signed_message":"canonical_sha256_bytes"},"source_id":"1005.5704","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dba7d08064e20ab9774bb4f253cc2746382f1882ef208748b87b1d0fa9c378d5","sha256:d5bb94995eeb55ae9a335c4928d83591b84748b56bc7d90e7e5dde6291d04438"],"state_sha256":"a60aeb5e2dacfeab204660c45a6a387cf7a04d2ddad1273686878b9826aa65bb"}