{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:MZKMKO2BU4H4IMKNMGROU2AX6O","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":"3ab4f5ca1beb40222e5fc2d8103f633630c3e9d057c95eab9e93f15752f0b3b2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2011-06-23T17:45:41Z","title_canon_sha256":"e15186db6264fef26b7f3fff1e2cd7b1e2e079184e5b2114d2f88a0303a05855"},"schema_version":"1.0","source":{"id":"1106.4783","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.4783","created_at":"2026-05-18T04:19:23Z"},{"alias_kind":"arxiv_version","alias_value":"1106.4783v1","created_at":"2026-05-18T04:19:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.4783","created_at":"2026-05-18T04:19:23Z"},{"alias_kind":"pith_short_12","alias_value":"MZKMKO2BU4H4","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"MZKMKO2BU4H4IMKN","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"MZKMKO2B","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:c6bfd8ba5ecde68c4fe03a6acc2c8e0f27e50ee3abefd01e38ae602ef9e5c9bb","target":"graph","created_at":"2026-05-18T04:19:23Z","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":"A framework for the mathematical modeling of evolution in group structured populations is introduced. The population is divided into a fixed large number of groups of fixed size. From generation to generation, new groups are formed that descend from previous groups, through a two-level Fisher-Wright process, with selection between groups and within groups and with migration between groups at rate $m$. When $m=1$, the framework reduces to the often used trait-group framework, so that our setting can be seen as an extension of that approach. Our framework allows the analysis of previously introd","authors_text":"Nestor Caticha, Renato Vicente, Roberto H. Schonmann","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2011-06-23T17:45:41Z","title":"Two-level Fisher-Wright framework with selection and migration: An approach to studying evolution in group structured populations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.4783","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:baf529fcbbbbe2206a8561869b4ef2d62ba1cec8d98172bdef035686f011f3c6","target":"record","created_at":"2026-05-18T04:19:23Z","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":"3ab4f5ca1beb40222e5fc2d8103f633630c3e9d057c95eab9e93f15752f0b3b2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2011-06-23T17:45:41Z","title_canon_sha256":"e15186db6264fef26b7f3fff1e2cd7b1e2e079184e5b2114d2f88a0303a05855"},"schema_version":"1.0","source":{"id":"1106.4783","kind":"arxiv","version":1}},"canonical_sha256":"6654c53b41a70fc4314d61a2ea6817f3bc87116b36f2887e2a63afcc5b6cd54d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6654c53b41a70fc4314d61a2ea6817f3bc87116b36f2887e2a63afcc5b6cd54d","first_computed_at":"2026-05-18T04:19:23.682344Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:19:23.682344Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jGGuqUYlDDQBzV5p2XeU8SnDVaaDB9Tmn+7YhO8/Jn1Lrm/1pqE6nzQ/x09xY+XD9iuE965DB1Uood4mi5QGAg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:19:23.682864Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.4783","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:baf529fcbbbbe2206a8561869b4ef2d62ba1cec8d98172bdef035686f011f3c6","sha256:c6bfd8ba5ecde68c4fe03a6acc2c8e0f27e50ee3abefd01e38ae602ef9e5c9bb"],"state_sha256":"2e3dbe1768437c90d5ec0a1ecf1c06847721da3193a3cba310e174d068c3f5d3"}