{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:ZSXLNHWSOQZXK4HEG76LDMSTRA","short_pith_number":"pith:ZSXLNHWS","schema_version":"1.0","canonical_sha256":"ccaeb69ed274337570e437fcb1b253883930e3a44ff410d177dbaefcf62565ec","source":{"kind":"arxiv","id":"1505.06367","version":1},"attestation_state":"computed","paper":{"title":"Backstepping Stabilization of the Linearized Saint-Venant-Exner Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Ababacar Diagne, Mamadou Diagne, Miroslav Krstic, Shuxia Tang","submitted_at":"2015-05-23T19:36:34Z","abstract_excerpt":"Using the backstepping design, we achieve exponential stabilization of the coupled Saint-Venant-Exner (SVE) PDE model of water dynamics in a sediment-filled canal with arbitrary values of canal bottom slope, friction, porosity, and water-sediment interaction under subcritical or supercritical flow regime. The studied SVE model consists of two rightward convecting transport Partial Differential Equations (PDEs) and one leftward convecting transport PDE. A single boundary input control (with actuation located only at downstream) strategy is adopted. A full state feedback controller is firstly de"},"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":"1505.06367","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-05-23T19:36:34Z","cross_cats_sorted":[],"title_canon_sha256":"da7379a3a8da337a34412255f8da0f2957d2aed8d405f60a17eb790697e04e6a","abstract_canon_sha256":"c396b0fe7c0cbee51db9733be91855a0d3086e4f97beba52e9b75240d183cfcb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:03:47.482740Z","signature_b64":"XFYrzX+mWJihbMqVvUtAQbiv4b6G+Vgu+VFG8+X7SmjWoMHZhCLTqbFVPgV3jvsdoAepA8DQT1ehBbNTdrwcAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ccaeb69ed274337570e437fcb1b253883930e3a44ff410d177dbaefcf62565ec","last_reissued_at":"2026-05-18T02:03:47.482275Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:03:47.482275Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Backstepping Stabilization of the Linearized Saint-Venant-Exner Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Ababacar Diagne, Mamadou Diagne, Miroslav Krstic, Shuxia Tang","submitted_at":"2015-05-23T19:36:34Z","abstract_excerpt":"Using the backstepping design, we achieve exponential stabilization of the coupled Saint-Venant-Exner (SVE) PDE model of water dynamics in a sediment-filled canal with arbitrary values of canal bottom slope, friction, porosity, and water-sediment interaction under subcritical or supercritical flow regime. The studied SVE model consists of two rightward convecting transport Partial Differential Equations (PDEs) and one leftward convecting transport PDE. A single boundary input control (with actuation located only at downstream) strategy is adopted. A full state feedback controller is firstly de"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.06367","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":"1505.06367","created_at":"2026-05-18T02:03:47.482353+00:00"},{"alias_kind":"arxiv_version","alias_value":"1505.06367v1","created_at":"2026-05-18T02:03:47.482353+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.06367","created_at":"2026-05-18T02:03:47.482353+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZSXLNHWSOQZX","created_at":"2026-05-18T12:29:52.810259+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZSXLNHWSOQZXK4HE","created_at":"2026-05-18T12:29:52.810259+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZSXLNHWS","created_at":"2026-05-18T12:29:52.810259+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/ZSXLNHWSOQZXK4HEG76LDMSTRA","json":"https://pith.science/pith/ZSXLNHWSOQZXK4HEG76LDMSTRA.json","graph_json":"https://pith.science/api/pith-number/ZSXLNHWSOQZXK4HEG76LDMSTRA/graph.json","events_json":"https://pith.science/api/pith-number/ZSXLNHWSOQZXK4HEG76LDMSTRA/events.json","paper":"https://pith.science/paper/ZSXLNHWS"},"agent_actions":{"view_html":"https://pith.science/pith/ZSXLNHWSOQZXK4HEG76LDMSTRA","download_json":"https://pith.science/pith/ZSXLNHWSOQZXK4HEG76LDMSTRA.json","view_paper":"https://pith.science/paper/ZSXLNHWS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1505.06367&json=true","fetch_graph":"https://pith.science/api/pith-number/ZSXLNHWSOQZXK4HEG76LDMSTRA/graph.json","fetch_events":"https://pith.science/api/pith-number/ZSXLNHWSOQZXK4HEG76LDMSTRA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZSXLNHWSOQZXK4HEG76LDMSTRA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZSXLNHWSOQZXK4HEG76LDMSTRA/action/storage_attestation","attest_author":"https://pith.science/pith/ZSXLNHWSOQZXK4HEG76LDMSTRA/action/author_attestation","sign_citation":"https://pith.science/pith/ZSXLNHWSOQZXK4HEG76LDMSTRA/action/citation_signature","submit_replication":"https://pith.science/pith/ZSXLNHWSOQZXK4HEG76LDMSTRA/action/replication_record"}},"created_at":"2026-05-18T02:03:47.482353+00:00","updated_at":"2026-05-18T02:03:47.482353+00:00"}