{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:CYHSQCF5WG44C4C354YSFK6FY3","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":"413e4b0cab44fc841e42665f4e90737253d5f4a2633dd8343eefe0385c6d04be","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-10-26T14:12:26Z","title_canon_sha256":"93de9a99eff7de3b3782c9c03bfc8e1644ff6f2cbf6eda385a1ae05cb1c6a926"},"schema_version":"1.0","source":{"id":"1010.5401","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.5401","created_at":"2026-05-18T04:29:55Z"},{"alias_kind":"arxiv_version","alias_value":"1010.5401v2","created_at":"2026-05-18T04:29:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.5401","created_at":"2026-05-18T04:29:55Z"},{"alias_kind":"pith_short_12","alias_value":"CYHSQCF5WG44","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"CYHSQCF5WG44C4C3","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"CYHSQCF5","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:ff6dfc8df695acf47b04501896f4e2a413676f0015d84ddc0f17e5dd1b6bfbcd","target":"graph","created_at":"2026-05-18T04:29:55Z","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 are interested in a nonlocal conservation law which describes the morphodynamics of sand dunes sheared by a fluid flow, recently proposed by Andrew C. Fowler. We prove that constant solutions of Fowler's equation are non-linearly unstable. We also illustrate this fact using a finite difference scheme.","authors_text":"Afaf Bouharguane (I3M)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-10-26T14:12:26Z","title":"On the instability of a nonlocal conservation law"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.5401","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":"sha256:9457edfc56cd1a2c0f2b9f32ec86b5098c2923cafb295d3be4eaac79b358a16a","target":"record","created_at":"2026-05-18T04:29:55Z","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":"413e4b0cab44fc841e42665f4e90737253d5f4a2633dd8343eefe0385c6d04be","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-10-26T14:12:26Z","title_canon_sha256":"93de9a99eff7de3b3782c9c03bfc8e1644ff6f2cbf6eda385a1ae05cb1c6a926"},"schema_version":"1.0","source":{"id":"1010.5401","kind":"arxiv","version":2}},"canonical_sha256":"160f2808bdb1b9c1705bef3122abc5c6c319af9f9253a87164025fc62e79262c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"160f2808bdb1b9c1705bef3122abc5c6c319af9f9253a87164025fc62e79262c","first_computed_at":"2026-05-18T04:29:55.425959Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:29:55.425959Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yb5Y0ryWn8BfC2TJC9zMYv8Cqaj+cTbvGQPJgQadqRs9ilk144Fkqsn6Acm92lGrihnqbXJhKbNh70yflfqXAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:29:55.426610Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.5401","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9457edfc56cd1a2c0f2b9f32ec86b5098c2923cafb295d3be4eaac79b358a16a","sha256:ff6dfc8df695acf47b04501896f4e2a413676f0015d84ddc0f17e5dd1b6bfbcd"],"state_sha256":"ff841acebd46cd5dc1b29d63d6c054931e26c5b662df34f798768155624c522f"}