{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:6SBBU4R54IPHSD2PQUI4D7P6AC","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":"673edf37ab3112aab48a852598932b9f49671e4dfd2eebe87c95633d62508535","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2019-08-19T23:02:47Z","title_canon_sha256":"896649d67563101b41a89310ed5555ae6b9d3a963d3b0281d7f5e659e92629f7"},"schema_version":"1.0","source":{"id":"1908.07837","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.07837","created_at":"2026-07-04T23:59:01Z"},{"alias_kind":"arxiv_version","alias_value":"1908.07837v1","created_at":"2026-07-04T23:59:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.07837","created_at":"2026-07-04T23:59:01Z"},{"alias_kind":"pith_short_12","alias_value":"6SBBU4R54IPH","created_at":"2026-07-04T23:59:01Z"},{"alias_kind":"pith_short_16","alias_value":"6SBBU4R54IPHSD2P","created_at":"2026-07-04T23:59:01Z"},{"alias_kind":"pith_short_8","alias_value":"6SBBU4R5","created_at":"2026-07-04T23:59:01Z"}],"graph_snapshots":[{"event_id":"sha256:cd992cc7556d1b987814fe45137ce74efdbf65400504c0cd68d9ba47c804b83e","target":"graph","created_at":"2026-07-04T23:59:01Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1908.07837/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate a two-strain disease model with amplification to simulate the prevalence of drug-susceptible (s) and drug-resistant (m) disease strains. We model the emergence of drug resistance as a consequence of inadequate treatment, i.e. amplification. We perform a dynamical analysis of the resulting system and find that the model contains three equilibrium points: a disease-free equilibrium; a mono-existent disease-endemic equilibrium with respect to the drug-resistant strain; and a co-existent disease-endemic equilibrium where both the drug-susceptible and drug-resistant strains persist. ","authors_text":"Adeshina I. Adekunle, Emma S. McBryde, Lisa J. White, Md Abdul Kuddus, Michael T. Meehan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2019-08-19T23:02:47Z","title":"Mathematical analysis of a two-strain disease model with amplification"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.07837","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:ad8e523c2c4c2ec87b372253fe8dd1b198235c3e4cfc47176d60dac491b0e5d2","target":"record","created_at":"2026-07-04T23:59:01Z","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":"673edf37ab3112aab48a852598932b9f49671e4dfd2eebe87c95633d62508535","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2019-08-19T23:02:47Z","title_canon_sha256":"896649d67563101b41a89310ed5555ae6b9d3a963d3b0281d7f5e659e92629f7"},"schema_version":"1.0","source":{"id":"1908.07837","kind":"arxiv","version":1}},"canonical_sha256":"f4821a723de21e790f4f8511c1fdfe0094d72a38b3f74bd5aef7b2db2941a1f7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f4821a723de21e790f4f8511c1fdfe0094d72a38b3f74bd5aef7b2db2941a1f7","first_computed_at":"2026-07-04T23:59:01.602584Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T23:59:01.602584Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dPSj9OfTkJ2cuTco4m27uxDjCXDAaHgiDAaXWYywUt/OWpB+TLXNUz8iLFkRA40fmQ2gM4hGcYeWlMpRon2zDw==","signature_status":"signed_v1","signed_at":"2026-07-04T23:59:01.602997Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.07837","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ad8e523c2c4c2ec87b372253fe8dd1b198235c3e4cfc47176d60dac491b0e5d2","sha256:cd992cc7556d1b987814fe45137ce74efdbf65400504c0cd68d9ba47c804b83e"],"state_sha256":"5cf2acb3b56eb9b0dfb3b85cbf6304aae1e87ca76a0d686b0baa39ed4c5d641a"}