{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:GARWEVXRJD57NBRZJT4MATQYZD","short_pith_number":"pith:GARWEVXR","schema_version":"1.0","canonical_sha256":"30236256f148fbf686394cf8c04e18c8ff930a0f6c882aaee9b0667647860489","source":{"kind":"arxiv","id":"1812.10676","version":1},"attestation_state":"computed","paper":{"title":"Lyapunov stability of an SIRS epidemic model with varying population","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.PE"],"primary_cat":"math.DS","authors_text":"Alberto d'Onofrio, Ernesto Salinelli, Piero Manfredi","submitted_at":"2018-12-27T09:35:31Z","abstract_excerpt":"In this paper we consider an SIRS epidemic model under a general assumption of density-dependent mortality. We prove the global stability of the disease-free equilibrium and propose a Lyapunov function that allows to demonstrate the global stability of the (unique) endemic state under broad conditions."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1812.10676","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-12-27T09:35:31Z","cross_cats_sorted":["q-bio.PE"],"title_canon_sha256":"b6006deab6d0afcd8f4fcb46d358a7377fcf0d8463a2ac640ba22da3333383ff","abstract_canon_sha256":"4c6b2058367aa06416c726cd974fec373bcc5820f8a8b74dc901f5947ff4c3b0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:57:20.307712Z","signature_b64":"0wcCecUPfOcPFiQgCwTIx8Wm3iTXDysvWRcewlbN7bTXpxLgXG4tQ7QaZnOCB5/7n/iabxUOni5SUefeItDCCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"30236256f148fbf686394cf8c04e18c8ff930a0f6c882aaee9b0667647860489","last_reissued_at":"2026-05-17T23:57:20.307020Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:57:20.307020Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Lyapunov stability of an SIRS epidemic model with varying population","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.PE"],"primary_cat":"math.DS","authors_text":"Alberto d'Onofrio, Ernesto Salinelli, Piero Manfredi","submitted_at":"2018-12-27T09:35:31Z","abstract_excerpt":"In this paper we consider an SIRS epidemic model under a general assumption of density-dependent mortality. We prove the global stability of the disease-free equilibrium and propose a Lyapunov function that allows to demonstrate the global stability of the (unique) endemic state under broad conditions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.10676","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1812.10676","created_at":"2026-05-17T23:57:20.307129+00:00"},{"alias_kind":"arxiv_version","alias_value":"1812.10676v1","created_at":"2026-05-17T23:57:20.307129+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.10676","created_at":"2026-05-17T23:57:20.307129+00:00"},{"alias_kind":"pith_short_12","alias_value":"GARWEVXRJD57","created_at":"2026-05-18T12:32:25.280505+00:00"},{"alias_kind":"pith_short_16","alias_value":"GARWEVXRJD57NBRZ","created_at":"2026-05-18T12:32:25.280505+00:00"},{"alias_kind":"pith_short_8","alias_value":"GARWEVXR","created_at":"2026-05-18T12:32:25.280505+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GARWEVXRJD57NBRZJT4MATQYZD","json":"https://pith.science/pith/GARWEVXRJD57NBRZJT4MATQYZD.json","graph_json":"https://pith.science/api/pith-number/GARWEVXRJD57NBRZJT4MATQYZD/graph.json","events_json":"https://pith.science/api/pith-number/GARWEVXRJD57NBRZJT4MATQYZD/events.json","paper":"https://pith.science/paper/GARWEVXR"},"agent_actions":{"view_html":"https://pith.science/pith/GARWEVXRJD57NBRZJT4MATQYZD","download_json":"https://pith.science/pith/GARWEVXRJD57NBRZJT4MATQYZD.json","view_paper":"https://pith.science/paper/GARWEVXR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1812.10676&json=true","fetch_graph":"https://pith.science/api/pith-number/GARWEVXRJD57NBRZJT4MATQYZD/graph.json","fetch_events":"https://pith.science/api/pith-number/GARWEVXRJD57NBRZJT4MATQYZD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GARWEVXRJD57NBRZJT4MATQYZD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GARWEVXRJD57NBRZJT4MATQYZD/action/storage_attestation","attest_author":"https://pith.science/pith/GARWEVXRJD57NBRZJT4MATQYZD/action/author_attestation","sign_citation":"https://pith.science/pith/GARWEVXRJD57NBRZJT4MATQYZD/action/citation_signature","submit_replication":"https://pith.science/pith/GARWEVXRJD57NBRZJT4MATQYZD/action/replication_record"}},"created_at":"2026-05-17T23:57:20.307129+00:00","updated_at":"2026-05-17T23:57:20.307129+00:00"}