{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:LPW2F5JSYWN4LPIQVOCVE5KUGC","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":"24d2b7be551d6a194a3efb9592ab84c770fc502820c5ff05c4da6db8bbead438","cross_cats_sorted":["math-ph","math.CA","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-08-10T12:21:24Z","title_canon_sha256":"1f21b64348df3fed3ab6ca640b880ddabacb4950bb5f46269823148898908d29"},"schema_version":"1.0","source":{"id":"1508.02215","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.02215","created_at":"2026-05-18T01:32:36Z"},{"alias_kind":"arxiv_version","alias_value":"1508.02215v2","created_at":"2026-05-18T01:32:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.02215","created_at":"2026-05-18T01:32:36Z"},{"alias_kind":"pith_short_12","alias_value":"LPW2F5JSYWN4","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"LPW2F5JSYWN4LPIQ","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"LPW2F5JS","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:82f03d30fae9e320ea28d1b51024d0e49014062e14bdc8211ff3b3e477522d8d","target":"graph","created_at":"2026-05-18T01:32:36Z","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 consider a Fisher-KPP-type equation, where both diffusion and nonlinear part are nonlocal, with anisotropic probability kernels. Under minimal conditions on the coefficients, we prove existence, uniqueness, and uniform space-time boundedness of the positive solution. We investigate existence, uniqueness, and asymptotic behavior of monotone traveling waves for the equation. We also describe the existence and main properties of the front of propagation.","authors_text":"Dmitri Finkelshtein, Pasha Tkachov, Yuri Kondratiev","cross_cats":["math-ph","math.CA","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-08-10T12:21:24Z","title":"Traveling waves and long-time behavior in a doubly nonlocal Fisher-KPP equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.02215","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":"sha256:58078f7aeab28b8d3b152b287c2245554a60e7d8a5fe6f852db361495bdc09df","target":"record","created_at":"2026-05-18T01:32:36Z","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":"24d2b7be551d6a194a3efb9592ab84c770fc502820c5ff05c4da6db8bbead438","cross_cats_sorted":["math-ph","math.CA","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-08-10T12:21:24Z","title_canon_sha256":"1f21b64348df3fed3ab6ca640b880ddabacb4950bb5f46269823148898908d29"},"schema_version":"1.0","source":{"id":"1508.02215","kind":"arxiv","version":2}},"canonical_sha256":"5beda2f532c59bc5bd10ab855275543091a540baec5e79ad8a0057301fb866d6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5beda2f532c59bc5bd10ab855275543091a540baec5e79ad8a0057301fb866d6","first_computed_at":"2026-05-18T01:32:36.812512Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:32:36.812512Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"po39X3wlzIQkeRajEca2Kj5i4b6DNitliMYqzIYYkDDKagY/sGS+lJmfP12iZ3E7RTSOiesJpGkxNGkJwjh3Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:32:36.813243Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.02215","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:58078f7aeab28b8d3b152b287c2245554a60e7d8a5fe6f852db361495bdc09df","sha256:82f03d30fae9e320ea28d1b51024d0e49014062e14bdc8211ff3b3e477522d8d"],"state_sha256":"93f4829cdb42131fb8affab9bf6b7f1da606edec141f6708f5abd7a73b1a49d2"}