{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:RY7ZQBJUH3OF4XWR64DZDR4G4J","short_pith_number":"pith:RY7ZQBJU","schema_version":"1.0","canonical_sha256":"8e3f9805343edc5e5ed1f70791c786e249af0f70eb547d2f659264a1568022cf","source":{"kind":"arxiv","id":"1007.3068","version":1},"attestation_state":"computed","paper":{"title":"Endogenous Quasicycles and Stochastic Coherence in a Closed Endemic Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.bio-ph","q-bio.PE"],"primary_cat":"cond-mat.stat-mech","authors_text":"R. Adhikari, Somdeb Ghose","submitted_at":"2010-07-19T06:50:13Z","abstract_excerpt":"We study the role of demographic fluctuations in typical endemics as exemplified by the stochastic SIRS model. The birth-death master equation of the model is simulated using exact numerics and analysed within the linear noise approximation. The endemic fixed point is unstable to internal demographic noise, and leads to sustained oscillations. This is ensured when the eigenvalues ($\\lambda$) of the linearised drift matrix are complex, which in turn, is possible only if detailed balance is violated. In the oscillatory state, the phases decorrelate asymptotically, distinguishing such oscillation"},"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":"1007.3068","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-07-19T06:50:13Z","cross_cats_sorted":["physics.bio-ph","q-bio.PE"],"title_canon_sha256":"143e5a0b941ac67ca04e78a65360beea651d36c8beba9ceeb2669c7ba74dbb60","abstract_canon_sha256":"7bb08890c27584eb122a51b58a9fba422e804a4d50605cd069f36474c587a9d1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:19:13.318233Z","signature_b64":"jdLotXcf/aFHBR3GeZffdVHH7/6o2zg+lWnvrs4C4uleBWbjrivPdBmfkt6TxzbeiUT/C/V1DOevGVl+08I5DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8e3f9805343edc5e5ed1f70791c786e249af0f70eb547d2f659264a1568022cf","last_reissued_at":"2026-05-18T04:19:13.317801Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:19:13.317801Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Endogenous Quasicycles and Stochastic Coherence in a Closed Endemic Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.bio-ph","q-bio.PE"],"primary_cat":"cond-mat.stat-mech","authors_text":"R. Adhikari, Somdeb Ghose","submitted_at":"2010-07-19T06:50:13Z","abstract_excerpt":"We study the role of demographic fluctuations in typical endemics as exemplified by the stochastic SIRS model. The birth-death master equation of the model is simulated using exact numerics and analysed within the linear noise approximation. The endemic fixed point is unstable to internal demographic noise, and leads to sustained oscillations. This is ensured when the eigenvalues ($\\lambda$) of the linearised drift matrix are complex, which in turn, is possible only if detailed balance is violated. In the oscillatory state, the phases decorrelate asymptotically, distinguishing such oscillation"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.3068","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":"1007.3068","created_at":"2026-05-18T04:19:13.317867+00:00"},{"alias_kind":"arxiv_version","alias_value":"1007.3068v1","created_at":"2026-05-18T04:19:13.317867+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.3068","created_at":"2026-05-18T04:19:13.317867+00:00"},{"alias_kind":"pith_short_12","alias_value":"RY7ZQBJUH3OF","created_at":"2026-05-18T12:26:13.927090+00:00"},{"alias_kind":"pith_short_16","alias_value":"RY7ZQBJUH3OF4XWR","created_at":"2026-05-18T12:26:13.927090+00:00"},{"alias_kind":"pith_short_8","alias_value":"RY7ZQBJU","created_at":"2026-05-18T12:26:13.927090+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/RY7ZQBJUH3OF4XWR64DZDR4G4J","json":"https://pith.science/pith/RY7ZQBJUH3OF4XWR64DZDR4G4J.json","graph_json":"https://pith.science/api/pith-number/RY7ZQBJUH3OF4XWR64DZDR4G4J/graph.json","events_json":"https://pith.science/api/pith-number/RY7ZQBJUH3OF4XWR64DZDR4G4J/events.json","paper":"https://pith.science/paper/RY7ZQBJU"},"agent_actions":{"view_html":"https://pith.science/pith/RY7ZQBJUH3OF4XWR64DZDR4G4J","download_json":"https://pith.science/pith/RY7ZQBJUH3OF4XWR64DZDR4G4J.json","view_paper":"https://pith.science/paper/RY7ZQBJU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1007.3068&json=true","fetch_graph":"https://pith.science/api/pith-number/RY7ZQBJUH3OF4XWR64DZDR4G4J/graph.json","fetch_events":"https://pith.science/api/pith-number/RY7ZQBJUH3OF4XWR64DZDR4G4J/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RY7ZQBJUH3OF4XWR64DZDR4G4J/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RY7ZQBJUH3OF4XWR64DZDR4G4J/action/storage_attestation","attest_author":"https://pith.science/pith/RY7ZQBJUH3OF4XWR64DZDR4G4J/action/author_attestation","sign_citation":"https://pith.science/pith/RY7ZQBJUH3OF4XWR64DZDR4G4J/action/citation_signature","submit_replication":"https://pith.science/pith/RY7ZQBJUH3OF4XWR64DZDR4G4J/action/replication_record"}},"created_at":"2026-05-18T04:19:13.317867+00:00","updated_at":"2026-05-18T04:19:13.317867+00:00"}