{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:BHF2L5EH5JORW5RCAWIULA3XN3","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":"7e7ff0d7d64850b48af8af8c72f4954f281aadbe75564fb8d6424bf35d4ad6d2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2015-09-29T19:15:16Z","title_canon_sha256":"992a04d9b306b1ece720cb4337710df4b1378a9eb9ada2fe9f59c3a47b463b03"},"schema_version":"1.0","source":{"id":"1509.08894","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.08894","created_at":"2026-05-18T00:48:43Z"},{"alias_kind":"arxiv_version","alias_value":"1509.08894v2","created_at":"2026-05-18T00:48:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.08894","created_at":"2026-05-18T00:48:43Z"},{"alias_kind":"pith_short_12","alias_value":"BHF2L5EH5JOR","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"BHF2L5EH5JORW5RC","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"BHF2L5EH","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:adb9def6b7db0a656d1684826995cbfe917f62781578554366c630806771289f","target":"graph","created_at":"2026-05-18T00:48:43Z","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 multi-patch and multi-group modeling framework describing the dynamics of a class of diseases driven by the interactions between vectors and hosts structured by groups is formulated. Hosts' dispersal is modeled in terms of patch-residence times with the nonlinear dynamics taking into account the \\textit{effective} patch-host size. The residence times basic reproduction number $\\mathcal R_0$ is computed and shown to depend on the relative environmental risk of infection. The model is robust, that is, the disease free equilibrium is globally asymptotically stable (GAS) if $\\mathcal R_0\\leq1$ a","authors_text":"Carlos Castillo-Chavez, Derdei Bichara","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2015-09-29T19:15:16Z","title":"Vector-borne diseases models with residence times - a Lagrangian perspective"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.08894","kind":"arxiv","version":2},"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":"sha256:9f707b5a948d6ef9e8b49ff45e44a8d3e6f43a8d2872b320cedd9e74d72348fb","target":"record","created_at":"2026-05-18T00:48:43Z","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":"7e7ff0d7d64850b48af8af8c72f4954f281aadbe75564fb8d6424bf35d4ad6d2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2015-09-29T19:15:16Z","title_canon_sha256":"992a04d9b306b1ece720cb4337710df4b1378a9eb9ada2fe9f59c3a47b463b03"},"schema_version":"1.0","source":{"id":"1509.08894","kind":"arxiv","version":2}},"canonical_sha256":"09cba5f487ea5d1b762205914583776eff5d7da24e1e71b7848c9ee324175050","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"09cba5f487ea5d1b762205914583776eff5d7da24e1e71b7848c9ee324175050","first_computed_at":"2026-05-18T00:48:43.138494Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:48:43.138494Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WAL1Ekov+KyPHrDY/TQqhj6VwvaccrcDr5iE2f8EyshfzvWSlfc9oUhSQGb5pwMi4Ljt7ozcRfj6qb/1GDAqDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:48:43.139119Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.08894","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9f707b5a948d6ef9e8b49ff45e44a8d3e6f43a8d2872b320cedd9e74d72348fb","sha256:adb9def6b7db0a656d1684826995cbfe917f62781578554366c630806771289f"],"state_sha256":"6ac5da7b3bf67e0d4e188446991533524d2ede136e98268ce861521131798901"}