{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:IX5G47QZNOUOT3I5DLVL7Q3G3Z","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":"4a46680a8f02a764d3940ba91fb1e858833e8845b43a355888331b25018418fd","cross_cats_sorted":[],"license":"","primary_cat":"q-bio.PE","submitted_at":"2004-05-24T08:24:46Z","title_canon_sha256":"447cb507995387eaea46fcd3207ed389c82948f7ae5619b4cb6af12e69289256"},"schema_version":"1.0","source":{"id":"q-bio/0405018","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"q-bio/0405018","created_at":"2026-05-18T02:56:42Z"},{"alias_kind":"arxiv_version","alias_value":"q-bio/0405018v1","created_at":"2026-05-18T02:56:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.q-bio/0405018","created_at":"2026-05-18T02:56:42Z"},{"alias_kind":"pith_short_12","alias_value":"IX5G47QZNOUO","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"IX5G47QZNOUOT3I5","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"IX5G47QZ","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:6d390d53791fd3f4d96bc3f009a9f7b29ec4154938b5800dc162d15fc6261660","target":"graph","created_at":"2026-05-18T02:56:42Z","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 Prisoner's Dilemma, a 2-person game in which the players can either cooperate or defect, is a common paradigm for studying the evolution of cooperation, when individuals exhibit variable degrees of cooperation. It is known that in the presence of spatial structure, when individuals ``play against'' their neighbours, and ``compare to'' them, cooperative investments can evolve to considerable levels. Here we examine the effect of increasing the neighbourhood size: we find that the mean-field limit of no cooperation is reached for a critical neighbourhood size of about five neighbours. We als","authors_text":"Margarita Ifti, Michael Doebeli, Timothy Killingback","cross_cats":[],"headline":"","license":"","primary_cat":"q-bio.PE","submitted_at":"2004-05-24T08:24:46Z","title":"Effects of neighbourhood size and connectivity on spatial Continuous Prisoner's Dilemma"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"q-bio/0405018","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":"sha256:0472ac04ba9bb56f79a1e1e97c533103b8d03179e545f3c6682cd5fa13773ca9","target":"record","created_at":"2026-05-18T02:56:42Z","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":"4a46680a8f02a764d3940ba91fb1e858833e8845b43a355888331b25018418fd","cross_cats_sorted":[],"license":"","primary_cat":"q-bio.PE","submitted_at":"2004-05-24T08:24:46Z","title_canon_sha256":"447cb507995387eaea46fcd3207ed389c82948f7ae5619b4cb6af12e69289256"},"schema_version":"1.0","source":{"id":"q-bio/0405018","kind":"arxiv","version":1}},"canonical_sha256":"45fa6e7e196ba8e9ed1d1aeabfc366de52f9ae4ca9c28ef9e9e2f708c7c7c404","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"45fa6e7e196ba8e9ed1d1aeabfc366de52f9ae4ca9c28ef9e9e2f708c7c7c404","first_computed_at":"2026-05-18T02:56:42.738699Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:56:42.738699Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5+ROqnezgqnp7gvBUG/Sesnqa3W7b7GvSbccljOTc7CAUJbjj8a7JEnQ41DFWtAkGxThPUL5N0IfD04Tbu3TCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:56:42.739114Z","signed_message":"canonical_sha256_bytes"},"source_id":"q-bio/0405018","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0472ac04ba9bb56f79a1e1e97c533103b8d03179e545f3c6682cd5fa13773ca9","sha256:6d390d53791fd3f4d96bc3f009a9f7b29ec4154938b5800dc162d15fc6261660"],"state_sha256":"b61440107ae19507d402422561245ca336ff3cfa1b8648f018566860b5dc19a1"}