{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:XTWSACRAOXSKUVXTERGXHCPPH5","short_pith_number":"pith:XTWSACRA","schema_version":"1.0","canonical_sha256":"bced200a2075e4aa56f3244d7389ef3f518c8792293f48efb95c04747dee5575","source":{"kind":"arxiv","id":"1603.05744","version":2},"attestation_state":"computed","paper":{"title":"Stability of travelling waves in a Wolbachia invasion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Matthew H. Chan, Peter S. Kim, Robert Marangell","submitted_at":"2016-03-18T01:36:38Z","abstract_excerpt":"Numerous studies have examined the growth dynamics of Wolbachia within populations and the resultant rate of spatial spread. This spread is typically characterised as a travelling wave with bistable local growth dynamics due to a strong Allee effect generated from cytoplasmic incompatibility. While this rate of spread has been calculated from numerical solutions of reaction-diffusion models, none have examined the spectral stability of such travelling wave solutions. In this study we analyse the stability of a travelling wave solution generated by the reaction-diffusion model of Chan & Kim (20"},"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":"1603.05744","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-03-18T01:36:38Z","cross_cats_sorted":[],"title_canon_sha256":"ccfad149b7ff0e37c1dfef19febf4d141839dce4565825712a96f9af17674a35","abstract_canon_sha256":"080b6a5318f8f22f187069460f0e35f9dbde638f1f45c8b9384b0da10e48bae2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:48.337810Z","signature_b64":"AjT3L7+z9rJUTEH0WwOTvFAI9pmjIEj7lifIHj4DJAc52WEmvfzMR/Y1dxoZWEjId86lZZD0ing7TeBa9qQuAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bced200a2075e4aa56f3244d7389ef3f518c8792293f48efb95c04747dee5575","last_reissued_at":"2026-05-18T01:11:48.337274Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:48.337274Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stability of travelling waves in a Wolbachia invasion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Matthew H. Chan, Peter S. Kim, Robert Marangell","submitted_at":"2016-03-18T01:36:38Z","abstract_excerpt":"Numerous studies have examined the growth dynamics of Wolbachia within populations and the resultant rate of spatial spread. This spread is typically characterised as a travelling wave with bistable local growth dynamics due to a strong Allee effect generated from cytoplasmic incompatibility. While this rate of spread has been calculated from numerical solutions of reaction-diffusion models, none have examined the spectral stability of such travelling wave solutions. In this study we analyse the stability of a travelling wave solution generated by the reaction-diffusion model of Chan & Kim (20"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.05744","kind":"arxiv","version":2},"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":"1603.05744","created_at":"2026-05-18T01:11:48.337361+00:00"},{"alias_kind":"arxiv_version","alias_value":"1603.05744v2","created_at":"2026-05-18T01:11:48.337361+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.05744","created_at":"2026-05-18T01:11:48.337361+00:00"},{"alias_kind":"pith_short_12","alias_value":"XTWSACRAOXSK","created_at":"2026-05-18T12:30:51.357362+00:00"},{"alias_kind":"pith_short_16","alias_value":"XTWSACRAOXSKUVXT","created_at":"2026-05-18T12:30:51.357362+00:00"},{"alias_kind":"pith_short_8","alias_value":"XTWSACRA","created_at":"2026-05-18T12:30:51.357362+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/XTWSACRAOXSKUVXTERGXHCPPH5","json":"https://pith.science/pith/XTWSACRAOXSKUVXTERGXHCPPH5.json","graph_json":"https://pith.science/api/pith-number/XTWSACRAOXSKUVXTERGXHCPPH5/graph.json","events_json":"https://pith.science/api/pith-number/XTWSACRAOXSKUVXTERGXHCPPH5/events.json","paper":"https://pith.science/paper/XTWSACRA"},"agent_actions":{"view_html":"https://pith.science/pith/XTWSACRAOXSKUVXTERGXHCPPH5","download_json":"https://pith.science/pith/XTWSACRAOXSKUVXTERGXHCPPH5.json","view_paper":"https://pith.science/paper/XTWSACRA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1603.05744&json=true","fetch_graph":"https://pith.science/api/pith-number/XTWSACRAOXSKUVXTERGXHCPPH5/graph.json","fetch_events":"https://pith.science/api/pith-number/XTWSACRAOXSKUVXTERGXHCPPH5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XTWSACRAOXSKUVXTERGXHCPPH5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XTWSACRAOXSKUVXTERGXHCPPH5/action/storage_attestation","attest_author":"https://pith.science/pith/XTWSACRAOXSKUVXTERGXHCPPH5/action/author_attestation","sign_citation":"https://pith.science/pith/XTWSACRAOXSKUVXTERGXHCPPH5/action/citation_signature","submit_replication":"https://pith.science/pith/XTWSACRAOXSKUVXTERGXHCPPH5/action/replication_record"}},"created_at":"2026-05-18T01:11:48.337361+00:00","updated_at":"2026-05-18T01:11:48.337361+00:00"}