{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:7UQXYCKRB56TVFNWOZCIW4MGT5","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":"d330f3fc036bc9e193bd3a9269cde613f4f096e6b7d88598c9e052aade6af77e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.MN","submitted_at":"2015-03-03T22:55:09Z","title_canon_sha256":"0e4765fd2248e0849ac08734b858da315d2de013fd630eabae29657ed34865dd"},"schema_version":"1.0","source":{"id":"1503.01155","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.01155","created_at":"2026-05-18T02:25:39Z"},{"alias_kind":"arxiv_version","alias_value":"1503.01155v1","created_at":"2026-05-18T02:25:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.01155","created_at":"2026-05-18T02:25:39Z"},{"alias_kind":"pith_short_12","alias_value":"7UQXYCKRB56T","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"7UQXYCKRB56TVFNW","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"7UQXYCKR","created_at":"2026-05-18T12:29:10Z"}],"graph_snapshots":[{"event_id":"sha256:f2c3f980f5f82c93c8de3b4c9d0f1545af770032739cc7c6b6bf5b03eec0c427","target":"graph","created_at":"2026-05-18T02:25:39Z","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 process of genetic recombination can be seen as a chemical reaction network with mass-action kinetics. We review the known results on existence, uniqueness, and global stability of an equilibrium in every compatibility class and for all rate constants, from both the population genetics and the reaction networks point of view.","authors_text":"Josef Hofbauer, Stefan M\\\"uller","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.MN","submitted_at":"2015-03-03T22:55:09Z","title":"Genetic Recombination as a Chemical Reaction Network"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.01155","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":"sha256:49201e27049aff976568deffeb48498c0d7cfe97344cbc9522b1f052455099ef","target":"record","created_at":"2026-05-18T02:25:39Z","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":"d330f3fc036bc9e193bd3a9269cde613f4f096e6b7d88598c9e052aade6af77e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.MN","submitted_at":"2015-03-03T22:55:09Z","title_canon_sha256":"0e4765fd2248e0849ac08734b858da315d2de013fd630eabae29657ed34865dd"},"schema_version":"1.0","source":{"id":"1503.01155","kind":"arxiv","version":1}},"canonical_sha256":"fd217c09510f7d3a95b676448b71869f7427624c3ccdb76e5d8f3a68b9d5d52c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fd217c09510f7d3a95b676448b71869f7427624c3ccdb76e5d8f3a68b9d5d52c","first_computed_at":"2026-05-18T02:25:39.764011Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:25:39.764011Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5eCZEgUGHLjzjaTbD/AKop/Iuuupgcz1kwnQTHRBAwbbPdKDBFS7wzPYOPvLo7BRiiJKS7u1FS0NKBkrk1ZACg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:25:39.764521Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.01155","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:49201e27049aff976568deffeb48498c0d7cfe97344cbc9522b1f052455099ef","sha256:f2c3f980f5f82c93c8de3b4c9d0f1545af770032739cc7c6b6bf5b03eec0c427"],"state_sha256":"1278b0056c0b04182674746fe78b3f454c3e77457f492e5ec9f11861e94248d6"}