{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:7UQXYCKRB56TVFNWOZCIW4MGT5","short_pith_number":"pith:7UQXYCKR","canonical_record":{"source":{"id":"1503.01155","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.MN","submitted_at":"2015-03-03T22:55:09Z","cross_cats_sorted":[],"title_canon_sha256":"0e4765fd2248e0849ac08734b858da315d2de013fd630eabae29657ed34865dd","abstract_canon_sha256":"d330f3fc036bc9e193bd3a9269cde613f4f096e6b7d88598c9e052aade6af77e"},"schema_version":"1.0"},"canonical_sha256":"fd217c09510f7d3a95b676448b71869f7427624c3ccdb76e5d8f3a68b9d5d52c","source":{"kind":"arxiv","id":"1503.01155","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:7UQXYCKRB56TVFNWOZCIW4MGT5","target":"record","payload":{"canonical_record":{"source":{"id":"1503.01155","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.MN","submitted_at":"2015-03-03T22:55:09Z","cross_cats_sorted":[],"title_canon_sha256":"0e4765fd2248e0849ac08734b858da315d2de013fd630eabae29657ed34865dd","abstract_canon_sha256":"d330f3fc036bc9e193bd3a9269cde613f4f096e6b7d88598c9e052aade6af77e"},"schema_version":"1.0"},"canonical_sha256":"fd217c09510f7d3a95b676448b71869f7427624c3ccdb76e5d8f3a68b9d5d52c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:25:39.764521Z","signature_b64":"5eCZEgUGHLjzjaTbD/AKop/Iuuupgcz1kwnQTHRBAwbbPdKDBFS7wzPYOPvLo7BRiiJKS7u1FS0NKBkrk1ZACg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fd217c09510f7d3a95b676448b71869f7427624c3ccdb76e5d8f3a68b9d5d52c","last_reissued_at":"2026-05-18T02:25:39.764011Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:25:39.764011Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1503.01155","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:25:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n+dZZ7T95nYT21xc9FhoSeOp+bogm/7vsnBKJLoZ2XpQQfCybj8EVejaJGCR0Devtr1iYbhhPk8xELmCY+X8Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T00:58:05.641156Z"},"content_sha256":"49201e27049aff976568deffeb48498c0d7cfe97344cbc9522b1f052455099ef","schema_version":"1.0","event_id":"sha256:49201e27049aff976568deffeb48498c0d7cfe97344cbc9522b1f052455099ef"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:7UQXYCKRB56TVFNWOZCIW4MGT5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Genetic Recombination as a Chemical Reaction Network","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-bio.MN","authors_text":"Josef Hofbauer, Stefan M\\\"uller","submitted_at":"2015-03-03T22:55:09Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.01155","kind":"arxiv","version":1},"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":"2026-05-18T02:25:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zAu1bjcKYT+mpxKdE6vSzIdMGkGDgKf1u+2ehYiQrrW4Qt/mh/cRQnk3yTgvixWsj7onTipC3+DHN3FWg917DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T00:58:05.641765Z"},"content_sha256":"f2c3f980f5f82c93c8de3b4c9d0f1545af770032739cc7c6b6bf5b03eec0c427","schema_version":"1.0","event_id":"sha256:f2c3f980f5f82c93c8de3b4c9d0f1545af770032739cc7c6b6bf5b03eec0c427"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7UQXYCKRB56TVFNWOZCIW4MGT5/bundle.json","state_url":"https://pith.science/pith/7UQXYCKRB56TVFNWOZCIW4MGT5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7UQXYCKRB56TVFNWOZCIW4MGT5/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":"2026-05-26T00:58:05Z","links":{"resolver":"https://pith.science/pith/7UQXYCKRB56TVFNWOZCIW4MGT5","bundle":"https://pith.science/pith/7UQXYCKRB56TVFNWOZCIW4MGT5/bundle.json","state":"https://pith.science/pith/7UQXYCKRB56TVFNWOZCIW4MGT5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7UQXYCKRB56TVFNWOZCIW4MGT5/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k1CzvtuN2BRJH7ClA10fQ+lNl974+uYGpR2OPLY+0VMJcwebIDENPvxKzX3V8AOb0KTTdLmgGJ3Pi9KJc8FVAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T00:58:05.645509Z","bundle_sha256":"797fb0559a00bee63d330f9e7f3fd6f11947c868665742dda1a93243c3ff405a"}}