{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:35URXQE4CB6SRKG3PBW7B2WOTD","short_pith_number":"pith:35URXQE4","schema_version":"1.0","canonical_sha256":"df691bc09c107d28a8db786df0eace98e8f9ea1659b5b3e278db9d7a90ac2d4f","source":{"kind":"arxiv","id":"1603.03390","version":1},"attestation_state":"computed","paper":{"title":"Traveling waves for a lattice dynamical system arising in a diffusive endemic model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Francois Hamel (I2M), Jong-Shenq Guo, Yan-Yu Chen","submitted_at":"2016-03-10T19:39:39Z","abstract_excerpt":"This paper is concerned with a lattice dynamical system modeling the evolution of susceptible and infective individuals at discrete niches. We prove the existence of traveling waves connecting the disease-free state to non-trivial leftover concentrations. We also characterize the minimal speed of traveling waves and we prove the non-existence of waves with smaller speeds."},"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":"1603.03390","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-03-10T19:39:39Z","cross_cats_sorted":[],"title_canon_sha256":"d93238fbcfd1ba327ef249b508145d211cb1f9545cfafa36d4bc9b9689272215","abstract_canon_sha256":"f94a31ac68b405455266fc2b9a44f60d24be2d1d3db8f57f71c3a9658dffe99c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:44:01.468211Z","signature_b64":"IO4wln/iZ0QYgOUUn+N845y6n7nLh+94q9N8mJqNTt+OQDuMr6z7FuXiYZmR8aGhNYxx2VXUbreSsb6BCnE+Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"df691bc09c107d28a8db786df0eace98e8f9ea1659b5b3e278db9d7a90ac2d4f","last_reissued_at":"2026-05-18T00:44:01.467673Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:44:01.467673Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Traveling waves for a lattice dynamical system arising in a diffusive endemic model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Francois Hamel (I2M), Jong-Shenq Guo, Yan-Yu Chen","submitted_at":"2016-03-10T19:39:39Z","abstract_excerpt":"This paper is concerned with a lattice dynamical system modeling the evolution of susceptible and infective individuals at discrete niches. We prove the existence of traveling waves connecting the disease-free state to non-trivial leftover concentrations. We also characterize the minimal speed of traveling waves and we prove the non-existence of waves with smaller speeds."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.03390","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":"1603.03390","created_at":"2026-05-18T00:44:01.467766+00:00"},{"alias_kind":"arxiv_version","alias_value":"1603.03390v1","created_at":"2026-05-18T00:44:01.467766+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.03390","created_at":"2026-05-18T00:44:01.467766+00:00"},{"alias_kind":"pith_short_12","alias_value":"35URXQE4CB6S","created_at":"2026-05-18T12:29:55.572404+00:00"},{"alias_kind":"pith_short_16","alias_value":"35URXQE4CB6SRKG3","created_at":"2026-05-18T12:29:55.572404+00:00"},{"alias_kind":"pith_short_8","alias_value":"35URXQE4","created_at":"2026-05-18T12:29:55.572404+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/35URXQE4CB6SRKG3PBW7B2WOTD","json":"https://pith.science/pith/35URXQE4CB6SRKG3PBW7B2WOTD.json","graph_json":"https://pith.science/api/pith-number/35URXQE4CB6SRKG3PBW7B2WOTD/graph.json","events_json":"https://pith.science/api/pith-number/35URXQE4CB6SRKG3PBW7B2WOTD/events.json","paper":"https://pith.science/paper/35URXQE4"},"agent_actions":{"view_html":"https://pith.science/pith/35URXQE4CB6SRKG3PBW7B2WOTD","download_json":"https://pith.science/pith/35URXQE4CB6SRKG3PBW7B2WOTD.json","view_paper":"https://pith.science/paper/35URXQE4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1603.03390&json=true","fetch_graph":"https://pith.science/api/pith-number/35URXQE4CB6SRKG3PBW7B2WOTD/graph.json","fetch_events":"https://pith.science/api/pith-number/35URXQE4CB6SRKG3PBW7B2WOTD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/35URXQE4CB6SRKG3PBW7B2WOTD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/35URXQE4CB6SRKG3PBW7B2WOTD/action/storage_attestation","attest_author":"https://pith.science/pith/35URXQE4CB6SRKG3PBW7B2WOTD/action/author_attestation","sign_citation":"https://pith.science/pith/35URXQE4CB6SRKG3PBW7B2WOTD/action/citation_signature","submit_replication":"https://pith.science/pith/35URXQE4CB6SRKG3PBW7B2WOTD/action/replication_record"}},"created_at":"2026-05-18T00:44:01.467766+00:00","updated_at":"2026-05-18T00:44:01.467766+00:00"}