{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:LJPX5OUKO2XI4RMNKC6TTUIUHK","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":"852d7f87decb73281ed314bb879dbad0aaaf430258b588835b7b206f202df7d0","cross_cats_sorted":["cond-mat.stat-mech","physics.bio-ph"],"license":"","primary_cat":"q-bio.PE","submitted_at":"2006-10-05T12:20:41Z","title_canon_sha256":"fdbddeca8944d125e0c1084cd6e00c69c9bd0b0b9bf456bdcf8ec1520c11af56"},"schema_version":"1.0","source":{"id":"q-bio/0610014","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"q-bio/0610014","created_at":"2026-05-18T04:05:59Z"},{"alias_kind":"arxiv_version","alias_value":"q-bio/0610014v1","created_at":"2026-05-18T04:05:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.q-bio/0610014","created_at":"2026-05-18T04:05:59Z"},{"alias_kind":"pith_short_12","alias_value":"LJPX5OUKO2XI","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"LJPX5OUKO2XI4RMN","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"LJPX5OUK","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:1e6947c9b85d1cff90111e558708cb83f7bd8e794f918543b0825d44f9a1cba7","target":"graph","created_at":"2026-05-18T04:05:59Z","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":"Finite-size fluctuations arising in the dynamics of competing populations may have dramatic influence on their fate. As an example, in this article, we investigate a model of three species which dominate each other in a cyclic manner. Although the deterministic approach predicts (neutrally) stable coexistence of all species, for any finite population size, the intrinsic stochasticity unavoidably causes the eventual extinction of two of them.","authors_text":"Erwin Frey, Mauro Mobilia, Tobias Reichenbach","cross_cats":["cond-mat.stat-mech","physics.bio-ph"],"headline":"","license":"","primary_cat":"q-bio.PE","submitted_at":"2006-10-05T12:20:41Z","title":"Stochastic effects on biodiversity in cyclic coevolutionary dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"q-bio/0610014","kind":"arxiv","version":1},"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":"sha256:5b6267f0179126ca522b38c99b8c5b23c084b8fb0b904619cacb9568d6807779","target":"record","created_at":"2026-05-18T04:05:59Z","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":"852d7f87decb73281ed314bb879dbad0aaaf430258b588835b7b206f202df7d0","cross_cats_sorted":["cond-mat.stat-mech","physics.bio-ph"],"license":"","primary_cat":"q-bio.PE","submitted_at":"2006-10-05T12:20:41Z","title_canon_sha256":"fdbddeca8944d125e0c1084cd6e00c69c9bd0b0b9bf456bdcf8ec1520c11af56"},"schema_version":"1.0","source":{"id":"q-bio/0610014","kind":"arxiv","version":1}},"canonical_sha256":"5a5f7eba8a76ae8e458d50bd39d1143aa6d1037065300e8aff9141c76c14d90e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5a5f7eba8a76ae8e458d50bd39d1143aa6d1037065300e8aff9141c76c14d90e","first_computed_at":"2026-05-18T04:05:59.561211Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:05:59.561211Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SeD3bqb7O18pCoTcOCfwg2S/+L1fiaiXCFUzr/nakzUxMyUOCfPlAo3MwqHQ6yDlfUpj1zcbUnlbHM2G2zUHBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:05:59.561636Z","signed_message":"canonical_sha256_bytes"},"source_id":"q-bio/0610014","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5b6267f0179126ca522b38c99b8c5b23c084b8fb0b904619cacb9568d6807779","sha256:1e6947c9b85d1cff90111e558708cb83f7bd8e794f918543b0825d44f9a1cba7"],"state_sha256":"e52c9526b07d57aaec6d5738fd63174ebb5730caa7dc0e9f504cf740331404a2"}