{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:5PU3VDBY5BNCQBBYUTMTV3JBPH","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":"9f813c9840c8e60da7a288019570280cc28d78c5689aff4f1829a8b51c68cc0c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-10-01T16:34:18Z","title_canon_sha256":"0c0dfc9d61b67dd2699cad62fa7df8cc796e59f9f7ec992bf1e8b5b0ca03d2c1"},"schema_version":"1.0","source":{"id":"1510.00303","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.00303","created_at":"2026-05-18T01:31:19Z"},{"alias_kind":"arxiv_version","alias_value":"1510.00303v1","created_at":"2026-05-18T01:31:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.00303","created_at":"2026-05-18T01:31:19Z"},{"alias_kind":"pith_short_12","alias_value":"5PU3VDBY5BNC","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"5PU3VDBY5BNCQBBY","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"5PU3VDBY","created_at":"2026-05-18T12:29:05Z"}],"graph_snapshots":[{"event_id":"sha256:803473d92908f1c7436ece522055513ed88dd84a55e95f364ad713b0343eb740","target":"graph","created_at":"2026-05-18T01:31:19Z","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":"We establish the existence of semi-wavefronts solutions for a non-local delayed reaction-diffusion equation with monostable nonlinearity. The existence result is proved for all speeds $c\\geq c_\\star$, where the determination of $c_\\star$ is similar to the calculation of the minimal speed of propagation. The results are applied to some non-local reaction-diffusion epidemic and population models with distributed time delay.","authors_text":"Carlos G\\'omez, Maitere Aguerrea","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-10-01T16:34:18Z","title":"On existence of semi-wavefronts for a non-local reaction-diffusion equations with distributed time delay"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.00303","kind":"arxiv","version":1},"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:f8361c7e2ac11ec03a6bdd7f3a5837a99d079e7d37c250441149838de2c14ad5","target":"record","created_at":"2026-05-18T01:31:19Z","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":"9f813c9840c8e60da7a288019570280cc28d78c5689aff4f1829a8b51c68cc0c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-10-01T16:34:18Z","title_canon_sha256":"0c0dfc9d61b67dd2699cad62fa7df8cc796e59f9f7ec992bf1e8b5b0ca03d2c1"},"schema_version":"1.0","source":{"id":"1510.00303","kind":"arxiv","version":1}},"canonical_sha256":"ebe9ba8c38e85a280438a4d93aed2179c45ef3e33b544b34a96e7e1f47d3756d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ebe9ba8c38e85a280438a4d93aed2179c45ef3e33b544b34a96e7e1f47d3756d","first_computed_at":"2026-05-18T01:31:19.654766Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:31:19.654766Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0F9wDlzDG42n2b/1x4be8qoBOHRUI2+CY2BI9hHsRoDSPDMk8UAe6JXZkAXidA8jLUYMAnoupPphJGYgeegYAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:31:19.655487Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.00303","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f8361c7e2ac11ec03a6bdd7f3a5837a99d079e7d37c250441149838de2c14ad5","sha256:803473d92908f1c7436ece522055513ed88dd84a55e95f364ad713b0343eb740"],"state_sha256":"3944ab034a85490d0b60376d80944f5a75ae04b8ab4e02202d368ed5a86f156d"}