{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:DH2WC7VLJT4W5V5AWEZSBHAYAG","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":"8dbb102f18f569cf92269b235ceea5f44018565e08ba66f919bd1a119ec9fab4","cross_cats_sorted":["cond-mat.stat-mech","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2010-06-04T09:47:17Z","title_canon_sha256":"338906036ff9adc7fc02111fed78b8efd61033cc28a2ce00d1be12dab53db7b7"},"schema_version":"1.0","source":{"id":"1006.0825","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.0825","created_at":"2026-05-18T03:57:37Z"},{"alias_kind":"arxiv_version","alias_value":"1006.0825v1","created_at":"2026-05-18T03:57:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.0825","created_at":"2026-05-18T03:57:37Z"},{"alias_kind":"pith_short_12","alias_value":"DH2WC7VLJT4W","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"DH2WC7VLJT4W5V5A","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"DH2WC7VL","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:69e410805f04273dee6baa51040d7d1a7176f1d0715378b093c1e7c475a6e966","target":"graph","created_at":"2026-05-18T03:57:37Z","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":"We use analytical techniques based on an expansion in the inverse system size to study the stochastic evolutionary dynamics of finite populations of players interacting in a repeated prisoner's dilemma game. We show that a mechanism of amplification of demographic noise can give rise to coherent oscillations in parameter regimes where deterministic descriptions converge to fixed points with complex eigenvalues. These quasi-cycles between co-operation and defection have previously been observed in computer simulations; here we provide a systematic and comprehensive analytical characterization o","authors_text":"Alan J. McKane, Alex J. Bladon, Tobias Galla","cross_cats":["cond-mat.stat-mech","physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2010-06-04T09:47:17Z","title":"Evolutionary dynamics, intrinsic noise and cycles of co-operation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.0825","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":"sha256:53d5eb41f1b9d725b8566343793f8826d4cad0c537dc7671d2db1f92e8fc5046","target":"record","created_at":"2026-05-18T03:57:37Z","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":"8dbb102f18f569cf92269b235ceea5f44018565e08ba66f919bd1a119ec9fab4","cross_cats_sorted":["cond-mat.stat-mech","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2010-06-04T09:47:17Z","title_canon_sha256":"338906036ff9adc7fc02111fed78b8efd61033cc28a2ce00d1be12dab53db7b7"},"schema_version":"1.0","source":{"id":"1006.0825","kind":"arxiv","version":1}},"canonical_sha256":"19f5617eab4cf96ed7a0b133209c1801849ad393f5db9070a19e0361bcff93b7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"19f5617eab4cf96ed7a0b133209c1801849ad393f5db9070a19e0361bcff93b7","first_computed_at":"2026-05-18T03:57:37.406849Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:57:37.406849Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MS5/rAbdOJVcTdHaVHQvuqX2O9IqlH0UGxHaVpPMcawMQ5qxxRNthLA55VaNypQoOg6PtaJa92gi9ui0iE6MBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:57:37.407383Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.0825","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:53d5eb41f1b9d725b8566343793f8826d4cad0c537dc7671d2db1f92e8fc5046","sha256:69e410805f04273dee6baa51040d7d1a7176f1d0715378b093c1e7c475a6e966"],"state_sha256":"7e6c3821879bf2f8189c0444b682d152143fa0c3b962cceaf87853ba75d33dcc"}