{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:XTWSACRAOXSKUVXTERGXHCPPH5","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":"080b6a5318f8f22f187069460f0e35f9dbde638f1f45c8b9384b0da10e48bae2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-03-18T01:36:38Z","title_canon_sha256":"ccfad149b7ff0e37c1dfef19febf4d141839dce4565825712a96f9af17674a35"},"schema_version":"1.0","source":{"id":"1603.05744","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.05744","created_at":"2026-05-18T01:11:48Z"},{"alias_kind":"arxiv_version","alias_value":"1603.05744v2","created_at":"2026-05-18T01:11:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.05744","created_at":"2026-05-18T01:11:48Z"},{"alias_kind":"pith_short_12","alias_value":"XTWSACRAOXSK","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"XTWSACRAOXSKUVXT","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"XTWSACRA","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:058517e927e3926535c0d9c45097d6abd6a329f05f0a57c5172438a52d2bc8f2","target":"graph","created_at":"2026-05-18T01:11:48Z","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":"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","authors_text":"Matthew H. Chan, Peter S. Kim, Robert Marangell","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-03-18T01:36:38Z","title":"Stability of travelling waves in a Wolbachia invasion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.05744","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":"sha256:9390893ce183dd4420cd46d8448d078082dfeebcb51bbcb3ba76a0405d887d79","target":"record","created_at":"2026-05-18T01:11:48Z","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":"080b6a5318f8f22f187069460f0e35f9dbde638f1f45c8b9384b0da10e48bae2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-03-18T01:36:38Z","title_canon_sha256":"ccfad149b7ff0e37c1dfef19febf4d141839dce4565825712a96f9af17674a35"},"schema_version":"1.0","source":{"id":"1603.05744","kind":"arxiv","version":2}},"canonical_sha256":"bced200a2075e4aa56f3244d7389ef3f518c8792293f48efb95c04747dee5575","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bced200a2075e4aa56f3244d7389ef3f518c8792293f48efb95c04747dee5575","first_computed_at":"2026-05-18T01:11:48.337274Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:48.337274Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AjT3L7+z9rJUTEH0WwOTvFAI9pmjIEj7lifIHj4DJAc52WEmvfzMR/Y1dxoZWEjId86lZZD0ing7TeBa9qQuAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:48.337810Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.05744","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9390893ce183dd4420cd46d8448d078082dfeebcb51bbcb3ba76a0405d887d79","sha256:058517e927e3926535c0d9c45097d6abd6a329f05f0a57c5172438a52d2bc8f2"],"state_sha256":"ede33f7a96f0f3d48b5d0efeb1238f83d48d88e866640b5fcbf9cb2cfaaaff54"}