{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:7L5AVYKW22G4VYFLRPLRNJUNQV","short_pith_number":"pith:7L5AVYKW","canonical_record":{"source":{"id":"1907.03818","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2019-07-08T19:15:30Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"e38078d74ac6abda6d5bcf00b897b09e653a7680dac3c583829af2faa002c96f","abstract_canon_sha256":"a23f70897b62333a7944170c741ad863e8b09bc0131ee94b15fb91a40f3faab8"},"schema_version":"1.0"},"canonical_sha256":"fafa0ae156d68dcae0ab8bd716a68d854deaadf0983742e703cc1d769597329f","source":{"kind":"arxiv","id":"1907.03818","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.03818","created_at":"2026-05-17T23:41:06Z"},{"alias_kind":"arxiv_version","alias_value":"1907.03818v1","created_at":"2026-05-17T23:41:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.03818","created_at":"2026-05-17T23:41:06Z"},{"alias_kind":"pith_short_12","alias_value":"7L5AVYKW22G4","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"7L5AVYKW22G4VYFL","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"7L5AVYKW","created_at":"2026-05-18T12:33:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:7L5AVYKW22G4VYFLRPLRNJUNQV","target":"record","payload":{"canonical_record":{"source":{"id":"1907.03818","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2019-07-08T19:15:30Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"e38078d74ac6abda6d5bcf00b897b09e653a7680dac3c583829af2faa002c96f","abstract_canon_sha256":"a23f70897b62333a7944170c741ad863e8b09bc0131ee94b15fb91a40f3faab8"},"schema_version":"1.0"},"canonical_sha256":"fafa0ae156d68dcae0ab8bd716a68d854deaadf0983742e703cc1d769597329f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:41:06.775500Z","signature_b64":"jnxuGYhWVfc0ymlTw4BsrqM562O2xK6cFr/b++iSIF+xcd3hrPlXliWdlay2aoWj681KHZc3v2zOuRrAlJCVAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fafa0ae156d68dcae0ab8bd716a68d854deaadf0983742e703cc1d769597329f","last_reissued_at":"2026-05-17T23:41:06.774725Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:41:06.774725Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1907.03818","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":"2026-05-17T23:41:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Wy7WR3rgmMVsSbtuC63QovrpFLEo2r8BKjMOPYz+NQd+tdrp5b0Y+HGY4AdWYmVA3i5uhQ2d7ntMXFxKsh4iBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T19:24:15.354794Z"},"content_sha256":"2c4d3cf76921a303624c12367d1ba25ecc95255aaa1bdbde6c65f10af81896c7","schema_version":"1.0","event_id":"sha256:2c4d3cf76921a303624c12367d1ba25ecc95255aaa1bdbde6c65f10af81896c7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:7L5AVYKW22G4VYFLRPLRNJUNQV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimal Control and Analysis of a Modified Trojan Y-Chromosome Strategy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"q-bio.PE","authors_text":"Harley Conaway, Jingjing Lyu, Matthew A. Beauregard, Rana D. Parshad, Sarah Boon, Thomas Griffin","submitted_at":"2019-07-08T19:15:30Z","abstract_excerpt":"The Trojan Y Chromosome (TYC) Strategy is a promising eradication method that attempts to manipulate the female to male ratio to promote the reduction of the population of an invasive species. The manipulation stems from an introduction of sex-reversed males, called supermales, into an ecosystem. The offspring of the supermales is guaranteed to be male. Mathematical models have shown that the population can be driven to extinction with a continuous supply of supermales. In this paper, a new model of the TYC strategy is introduced and analyzed that includes two important modeling characteristic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.03818","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":"2026-05-17T23:41:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"W4mlCviDxxDNbDVTG/1+lx0CfIu2KmJFj7VAi+y0Wc30QWpBHiuOsK4+fHs4XNN3Iq6KI7mxUhJTvAonocTTAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T19:24:15.355414Z"},"content_sha256":"623b1e09081118972f7eeb46a1bc38cc017b8de90aee4c11852ae4c5aeab5f11","schema_version":"1.0","event_id":"sha256:623b1e09081118972f7eeb46a1bc38cc017b8de90aee4c11852ae4c5aeab5f11"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7L5AVYKW22G4VYFLRPLRNJUNQV/bundle.json","state_url":"https://pith.science/pith/7L5AVYKW22G4VYFLRPLRNJUNQV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7L5AVYKW22G4VYFLRPLRNJUNQV/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":"2026-05-25T19:24:15Z","links":{"resolver":"https://pith.science/pith/7L5AVYKW22G4VYFLRPLRNJUNQV","bundle":"https://pith.science/pith/7L5AVYKW22G4VYFLRPLRNJUNQV/bundle.json","state":"https://pith.science/pith/7L5AVYKW22G4VYFLRPLRNJUNQV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7L5AVYKW22G4VYFLRPLRNJUNQV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:7L5AVYKW22G4VYFLRPLRNJUNQV","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":"a23f70897b62333a7944170c741ad863e8b09bc0131ee94b15fb91a40f3faab8","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2019-07-08T19:15:30Z","title_canon_sha256":"e38078d74ac6abda6d5bcf00b897b09e653a7680dac3c583829af2faa002c96f"},"schema_version":"1.0","source":{"id":"1907.03818","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.03818","created_at":"2026-05-17T23:41:06Z"},{"alias_kind":"arxiv_version","alias_value":"1907.03818v1","created_at":"2026-05-17T23:41:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.03818","created_at":"2026-05-17T23:41:06Z"},{"alias_kind":"pith_short_12","alias_value":"7L5AVYKW22G4","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"7L5AVYKW22G4VYFL","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"7L5AVYKW","created_at":"2026-05-18T12:33:12Z"}],"graph_snapshots":[{"event_id":"sha256:623b1e09081118972f7eeb46a1bc38cc017b8de90aee4c11852ae4c5aeab5f11","target":"graph","created_at":"2026-05-17T23:41:06Z","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":"The Trojan Y Chromosome (TYC) Strategy is a promising eradication method that attempts to manipulate the female to male ratio to promote the reduction of the population of an invasive species. The manipulation stems from an introduction of sex-reversed males, called supermales, into an ecosystem. The offspring of the supermales is guaranteed to be male. Mathematical models have shown that the population can be driven to extinction with a continuous supply of supermales. In this paper, a new model of the TYC strategy is introduced and analyzed that includes two important modeling characteristic","authors_text":"Harley Conaway, Jingjing Lyu, Matthew A. Beauregard, Rana D. Parshad, Sarah Boon, Thomas Griffin","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2019-07-08T19:15:30Z","title":"Optimal Control and Analysis of a Modified Trojan Y-Chromosome Strategy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.03818","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":"sha256:2c4d3cf76921a303624c12367d1ba25ecc95255aaa1bdbde6c65f10af81896c7","target":"record","created_at":"2026-05-17T23:41:06Z","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":"a23f70897b62333a7944170c741ad863e8b09bc0131ee94b15fb91a40f3faab8","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2019-07-08T19:15:30Z","title_canon_sha256":"e38078d74ac6abda6d5bcf00b897b09e653a7680dac3c583829af2faa002c96f"},"schema_version":"1.0","source":{"id":"1907.03818","kind":"arxiv","version":1}},"canonical_sha256":"fafa0ae156d68dcae0ab8bd716a68d854deaadf0983742e703cc1d769597329f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fafa0ae156d68dcae0ab8bd716a68d854deaadf0983742e703cc1d769597329f","first_computed_at":"2026-05-17T23:41:06.774725Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:41:06.774725Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jnxuGYhWVfc0ymlTw4BsrqM562O2xK6cFr/b++iSIF+xcd3hrPlXliWdlay2aoWj681KHZc3v2zOuRrAlJCVAw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:41:06.775500Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.03818","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2c4d3cf76921a303624c12367d1ba25ecc95255aaa1bdbde6c65f10af81896c7","sha256:623b1e09081118972f7eeb46a1bc38cc017b8de90aee4c11852ae4c5aeab5f11"],"state_sha256":"b0391f2f2b2382e919f7cec96c204adb9b3ce3c4a285eb782ad63598b10b75a7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"klNEkoXX6Y/GA4pfqxLs6kc2pQWufUlbzLQ6J0ekwy6doFHT+pXMcT5x3sBZkZ1IP6vHYqHJpS6NlZBt7Pz1AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T19:24:15.358726Z","bundle_sha256":"33ca1bc15be744f11dc5f05419a046702c33d73094b6c030f522181d2b680026"}}