{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:NFH6WB3EKJY5AS3FQ2KDTNTGQY","short_pith_number":"pith:NFH6WB3E","canonical_record":{"source":{"id":"1012.3913","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2010-12-17T15:59:27Z","cross_cats_sorted":["nlin.AO"],"title_canon_sha256":"0e65aadc06b7504e4514910793bff59efa0543332d899864018befd0a13a0fe5","abstract_canon_sha256":"ec2d620cb101257166f36df98e5b4d183c770a47a2a5be5950bf15c0423578f1"},"schema_version":"1.0"},"canonical_sha256":"694feb07645271d04b65869439b666863570f873393775cceff04b5e95da3ac7","source":{"kind":"arxiv","id":"1012.3913","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.3913","created_at":"2026-05-18T02:23:06Z"},{"alias_kind":"arxiv_version","alias_value":"1012.3913v3","created_at":"2026-05-18T02:23:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.3913","created_at":"2026-05-18T02:23:06Z"},{"alias_kind":"pith_short_12","alias_value":"NFH6WB3EKJY5","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"NFH6WB3EKJY5AS3F","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"NFH6WB3E","created_at":"2026-05-18T12:26:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:NFH6WB3EKJY5AS3FQ2KDTNTGQY","target":"record","payload":{"canonical_record":{"source":{"id":"1012.3913","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2010-12-17T15:59:27Z","cross_cats_sorted":["nlin.AO"],"title_canon_sha256":"0e65aadc06b7504e4514910793bff59efa0543332d899864018befd0a13a0fe5","abstract_canon_sha256":"ec2d620cb101257166f36df98e5b4d183c770a47a2a5be5950bf15c0423578f1"},"schema_version":"1.0"},"canonical_sha256":"694feb07645271d04b65869439b666863570f873393775cceff04b5e95da3ac7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:23:06.986032Z","signature_b64":"yMetc6d0RZtBJePy1/seWJdooO8N/BmYnnV0a8MKfvL4tbbvYYmf1KKu4R0lzHKBRWe9lA3GSsdFjYJblohhBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"694feb07645271d04b65869439b666863570f873393775cceff04b5e95da3ac7","last_reissued_at":"2026-05-18T02:23:06.985511Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:23:06.985511Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1012.3913","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:23:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zTbTtS3M3CP5GyrdcfI3FTYxwzFv17fMos2iNJJNpidBAGgrjMlIcybfKneELNmlhyGT9e+0KWYi4mqOgxXKAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T14:52:32.424365Z"},"content_sha256":"3b833c4c8e712c92bb52d3d0ba6afcd04d8f614293d6198d71f331b038da9011","schema_version":"1.0","event_id":"sha256:3b833c4c8e712c92bb52d3d0ba6afcd04d8f614293d6198d71f331b038da9011"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:NFH6WB3EKJY5AS3FQ2KDTNTGQY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Moran model as a dynamical process on networks and its implications for neutral speciation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.AO"],"primary_cat":"q-bio.PE","authors_text":"Marcus A.M. de Aguiar, Yaneer Bar-Yam","submitted_at":"2010-12-17T15:59:27Z","abstract_excerpt":"In genetics the Moran model describes the neutral evolution of a bi-allelic gene in a population of haploid individuals subjected to mutations. We show in this paper that this model can be mapped into an influence dynamical process on networks subjected to external influences. The panmictic case considered by Moran corresponds to fully connected networks and can be completely solved in terms of hypergeometric functions. Other types of networks correspond to structured populations, for which approximate solutions are also available. This new approach to the classic Moran model leads to a relati"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.3913","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:23:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2F3bvCxO31saKEDne6dpvKB55Je2HiRvQC2PizTwwIl5kS6tqaq9lq9ukEPn82o7np1Qpr6IY0uRlZ9A57oTCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T14:52:32.424721Z"},"content_sha256":"40be2ca3daaeeab0ba307c62d4a21abf67f63e74e1c0b3a0c37ca3181e0cd5ba","schema_version":"1.0","event_id":"sha256:40be2ca3daaeeab0ba307c62d4a21abf67f63e74e1c0b3a0c37ca3181e0cd5ba"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NFH6WB3EKJY5AS3FQ2KDTNTGQY/bundle.json","state_url":"https://pith.science/pith/NFH6WB3EKJY5AS3FQ2KDTNTGQY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NFH6WB3EKJY5AS3FQ2KDTNTGQY/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-23T14:52:32Z","links":{"resolver":"https://pith.science/pith/NFH6WB3EKJY5AS3FQ2KDTNTGQY","bundle":"https://pith.science/pith/NFH6WB3EKJY5AS3FQ2KDTNTGQY/bundle.json","state":"https://pith.science/pith/NFH6WB3EKJY5AS3FQ2KDTNTGQY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NFH6WB3EKJY5AS3FQ2KDTNTGQY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:NFH6WB3EKJY5AS3FQ2KDTNTGQY","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":"ec2d620cb101257166f36df98e5b4d183c770a47a2a5be5950bf15c0423578f1","cross_cats_sorted":["nlin.AO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2010-12-17T15:59:27Z","title_canon_sha256":"0e65aadc06b7504e4514910793bff59efa0543332d899864018befd0a13a0fe5"},"schema_version":"1.0","source":{"id":"1012.3913","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.3913","created_at":"2026-05-18T02:23:06Z"},{"alias_kind":"arxiv_version","alias_value":"1012.3913v3","created_at":"2026-05-18T02:23:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.3913","created_at":"2026-05-18T02:23:06Z"},{"alias_kind":"pith_short_12","alias_value":"NFH6WB3EKJY5","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"NFH6WB3EKJY5AS3F","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"NFH6WB3E","created_at":"2026-05-18T12:26:10Z"}],"graph_snapshots":[{"event_id":"sha256:40be2ca3daaeeab0ba307c62d4a21abf67f63e74e1c0b3a0c37ca3181e0cd5ba","target":"graph","created_at":"2026-05-18T02:23:06Z","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":"In genetics the Moran model describes the neutral evolution of a bi-allelic gene in a population of haploid individuals subjected to mutations. We show in this paper that this model can be mapped into an influence dynamical process on networks subjected to external influences. The panmictic case considered by Moran corresponds to fully connected networks and can be completely solved in terms of hypergeometric functions. Other types of networks correspond to structured populations, for which approximate solutions are also available. This new approach to the classic Moran model leads to a relati","authors_text":"Marcus A.M. de Aguiar, Yaneer Bar-Yam","cross_cats":["nlin.AO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2010-12-17T15:59:27Z","title":"The Moran model as a dynamical process on networks and its implications for neutral speciation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.3913","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":"sha256:3b833c4c8e712c92bb52d3d0ba6afcd04d8f614293d6198d71f331b038da9011","target":"record","created_at":"2026-05-18T02:23:06Z","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":"ec2d620cb101257166f36df98e5b4d183c770a47a2a5be5950bf15c0423578f1","cross_cats_sorted":["nlin.AO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2010-12-17T15:59:27Z","title_canon_sha256":"0e65aadc06b7504e4514910793bff59efa0543332d899864018befd0a13a0fe5"},"schema_version":"1.0","source":{"id":"1012.3913","kind":"arxiv","version":3}},"canonical_sha256":"694feb07645271d04b65869439b666863570f873393775cceff04b5e95da3ac7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"694feb07645271d04b65869439b666863570f873393775cceff04b5e95da3ac7","first_computed_at":"2026-05-18T02:23:06.985511Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:23:06.985511Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yMetc6d0RZtBJePy1/seWJdooO8N/BmYnnV0a8MKfvL4tbbvYYmf1KKu4R0lzHKBRWe9lA3GSsdFjYJblohhBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:23:06.986032Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.3913","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3b833c4c8e712c92bb52d3d0ba6afcd04d8f614293d6198d71f331b038da9011","sha256:40be2ca3daaeeab0ba307c62d4a21abf67f63e74e1c0b3a0c37ca3181e0cd5ba"],"state_sha256":"ec28604d4db7b7b5f2e5edb139156be1f8a75aedf2f02d25e66247a65e3385dc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/Afy2S9n+x0xQBqWjAvQ33krvexUdsnXbSmUgQbkuJghUqskKA2nOvL7zvBznvPV1z9p+lsMb/ZoA9ceNhY1Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T14:52:32.426693Z","bundle_sha256":"707ffb303f0a33fa02735e7c0351acf3879ce501d67ec6addc7c36530a7a2db1"}}