{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:QFKTDHTLLQN3HJDXK5357TQJK3","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":"715a496828faefc4ce60180e006eca87cc336f1c96dac0bb909f4583d52e51df","cross_cats_sorted":["q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2019-07-13T13:57:59Z","title_canon_sha256":"66ca4b4c9ab23ecf81a991e853ef4c87b59e2ca3e6b4440dbd6df6ab9882e9db"},"schema_version":"1.0","source":{"id":"1907.06079","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.06079","created_at":"2026-05-17T23:40:38Z"},{"alias_kind":"arxiv_version","alias_value":"1907.06079v1","created_at":"2026-05-17T23:40:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.06079","created_at":"2026-05-17T23:40:38Z"},{"alias_kind":"pith_short_12","alias_value":"QFKTDHTLLQN3","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"QFKTDHTLLQN3HJDX","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"QFKTDHTL","created_at":"2026-05-18T12:33:27Z"}],"graph_snapshots":[{"event_id":"sha256:3b6258cbac19f3a2d476614af54eabe7d96ce7a82efaece165bd30b212539741","target":"graph","created_at":"2026-05-17T23:40:38Z","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 Strategy (TYC) is an extremely well investigated biological control method for controlling invasive populations with an XX-XY sex determinism. In \\cite{GP12, WP14} various dynamical properties of the system are analyzed, including well posedness, boundedness of solutions, and conditions for extinction or recovery. These results are derived under the assumption of positive solutions. In the current manuscript, we show that if the introduction rate of trojan fish is zero, under certain large data assumptions, negative solutions are possible for the male population, which ","authors_text":"Eric M. Takyi, Landrey Bobo, Matthew A. Beauregard, Rana D. Parshad, Thomas Griffin","cross_cats":["q-bio.PE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2019-07-13T13:57:59Z","title":"Large and Small Data Blow-Up Solutions in the Trojan Y Chromosome Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.06079","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":"sha256:8e097823a193c68f3214ff8a8fe7084789ebfe4b687b1b49f626bdd1838e2d11","target":"record","created_at":"2026-05-17T23:40:38Z","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":"715a496828faefc4ce60180e006eca87cc336f1c96dac0bb909f4583d52e51df","cross_cats_sorted":["q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2019-07-13T13:57:59Z","title_canon_sha256":"66ca4b4c9ab23ecf81a991e853ef4c87b59e2ca3e6b4440dbd6df6ab9882e9db"},"schema_version":"1.0","source":{"id":"1907.06079","kind":"arxiv","version":1}},"canonical_sha256":"8155319e6b5c1bb3a4775777dfce0956da14506efae87938441f5977dce4febb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8155319e6b5c1bb3a4775777dfce0956da14506efae87938441f5977dce4febb","first_computed_at":"2026-05-17T23:40:38.435807Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:40:38.435807Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kRZC1scAQHyThtygzFmBMPht05U/AIIEi/de0CFHuufsY1+a6JhdFD9ja8gFxSRUMlDdcrFEbs65neDlFQ9UBQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:40:38.436219Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.06079","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8e097823a193c68f3214ff8a8fe7084789ebfe4b687b1b49f626bdd1838e2d11","sha256:3b6258cbac19f3a2d476614af54eabe7d96ce7a82efaece165bd30b212539741"],"state_sha256":"2916e0d105bfa7774627fcb001d4120c26b9f9703da99068f244849aa94aa26f"}