{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:I4EJLQPTD6LDIXWJ5ZYC4C2KTC","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":"c8216134d0a70999b1c1a62a35bf88b9eb46d7fe634d796ce05d06157017227d","cross_cats_sorted":["physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2012-10-01T18:33:58Z","title_canon_sha256":"0a587306f5671daa57ac623e9d0f0b472e8eae84f7aad3038df9e3849f2372d3"},"schema_version":"1.0","source":{"id":"1210.0498","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.0498","created_at":"2026-05-18T03:27:01Z"},{"alias_kind":"arxiv_version","alias_value":"1210.0498v3","created_at":"2026-05-18T03:27:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.0498","created_at":"2026-05-18T03:27:01Z"},{"alias_kind":"pith_short_12","alias_value":"I4EJLQPTD6LD","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"I4EJLQPTD6LDIXWJ","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"I4EJLQPT","created_at":"2026-05-18T12:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:bedf87ed83a2eebb8b953cfeb7297c898b2216b34008fcb144dfbbe08112b72d","target":"graph","created_at":"2026-05-18T03:27:01Z","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":"Cooperation is beneficial for the species as a whole, but, at the level of an individual, defection pays off. Natural selection is then expected to favor defectors and eliminate cooperation. This prediction is in stark contrast with the abundance of cooperation at all levels of biological systems: from cells cooperating to form a biofilm or an organism to ecosystems and human societies. Several explanations have been proposed to resolve this paradox, including direct reciprocity, kin, and group selection. However, our work builds upon an observation that selection on cooperators might depend b","authors_text":"Kirill S. Korolev","cross_cats":["physics.bio-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2012-10-01T18:33:58Z","title":"The fate of cooperation during range expansions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.0498","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:bd2fe0d5bb1becefabdcfe8bc1217b430dabac1b005e820fd92dbbc8d99d5467","target":"record","created_at":"2026-05-18T03:27:01Z","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":"c8216134d0a70999b1c1a62a35bf88b9eb46d7fe634d796ce05d06157017227d","cross_cats_sorted":["physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2012-10-01T18:33:58Z","title_canon_sha256":"0a587306f5671daa57ac623e9d0f0b472e8eae84f7aad3038df9e3849f2372d3"},"schema_version":"1.0","source":{"id":"1210.0498","kind":"arxiv","version":3}},"canonical_sha256":"470895c1f31f96345ec9ee702e0b4a98b4a6a46c9e0b562caf18eac2326ff9a9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"470895c1f31f96345ec9ee702e0b4a98b4a6a46c9e0b562caf18eac2326ff9a9","first_computed_at":"2026-05-18T03:27:01.434616Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:27:01.434616Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"caWIHtOqJ+QZKbY6hqsCKg2wm9FvVVhSeS6vVmhDHkKFfNlkBRsRdUF2KDn9P0arxnw2ReNNhdpvnhwhpyI5Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T03:27:01.435077Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.0498","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bd2fe0d5bb1becefabdcfe8bc1217b430dabac1b005e820fd92dbbc8d99d5467","sha256:bedf87ed83a2eebb8b953cfeb7297c898b2216b34008fcb144dfbbe08112b72d"],"state_sha256":"76c24df42df2afae7c3be4f2b33afe09b2a9222f1b6023d38d2841dc76216cb7"}