{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:NSB3TD7A7H3LMY2ST3UHGMMIYO","short_pith_number":"pith:NSB3TD7A","schema_version":"1.0","canonical_sha256":"6c83b98fe0f9f6b663529ee8733188c3ac904ab2156a8971d8d1c218a533bc3b","source":{"kind":"arxiv","id":"2606.10539","version":1},"attestation_state":"computed","paper":{"title":"Backstepping Control of Multidimensional Coupled First-Order Hyperbolic PDEs with Collinear Velocities","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.SY","math.AP"],"primary_cat":"eess.SY","authors_text":"Mohamed Camil Belhadjoudja","submitted_at":"2026-06-09T08:08:42Z","abstract_excerpt":"This paper addresses the backstepping boundary stabilization of coupled multidimensional first-order hyperbolic systems. We consider systems whose transport velocity fields are collinear, meaning that each velocity field is a scalar multiple of a common base velocity field. Building upon a recent framework developed for scalar multidimensional first-order hyperbolic equations, we introduce a change of variables, based on characteristic curves defined entirely in the spatial domain, that converts the original multidimensional system into a continuum of coupled one-dimensional first-order hyperb"},"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":"2606.10539","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SY","submitted_at":"2026-06-09T08:08:42Z","cross_cats_sorted":["cs.SY","math.AP"],"title_canon_sha256":"5498efb63b7426721d2e448e0be6c389edbaa68b54332662252ee499c2b587d5","abstract_canon_sha256":"c1ed2039512bd57742e84dc848fe18537a8597fc5c652aa5df242ed03aca8514"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-10T01:10:25.122673Z","signature_b64":"O9/K/btT1RzLh311DAJroJ9flkrIZc2LEWGMvfLOMvnN/5iC9OjAU4po0THQ7VMS64Yd4AsbKK1G7EjuQJMhCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6c83b98fe0f9f6b663529ee8733188c3ac904ab2156a8971d8d1c218a533bc3b","last_reissued_at":"2026-06-10T01:10:25.121868Z","signature_status":"signed_v1","first_computed_at":"2026-06-10T01:10:25.121868Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Backstepping Control of Multidimensional Coupled First-Order Hyperbolic PDEs with Collinear Velocities","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.SY","math.AP"],"primary_cat":"eess.SY","authors_text":"Mohamed Camil Belhadjoudja","submitted_at":"2026-06-09T08:08:42Z","abstract_excerpt":"This paper addresses the backstepping boundary stabilization of coupled multidimensional first-order hyperbolic systems. We consider systems whose transport velocity fields are collinear, meaning that each velocity field is a scalar multiple of a common base velocity field. Building upon a recent framework developed for scalar multidimensional first-order hyperbolic equations, we introduce a change of variables, based on characteristic curves defined entirely in the spatial domain, that converts the original multidimensional system into a continuum of coupled one-dimensional first-order hyperb"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.10539","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.10539/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2606.10539","created_at":"2026-06-10T01:10:25.121980+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.10539v1","created_at":"2026-06-10T01:10:25.121980+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.10539","created_at":"2026-06-10T01:10:25.121980+00:00"},{"alias_kind":"pith_short_12","alias_value":"NSB3TD7A7H3L","created_at":"2026-06-10T01:10:25.121980+00:00"},{"alias_kind":"pith_short_16","alias_value":"NSB3TD7A7H3LMY2S","created_at":"2026-06-10T01:10:25.121980+00:00"},{"alias_kind":"pith_short_8","alias_value":"NSB3TD7A","created_at":"2026-06-10T01:10:25.121980+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/NSB3TD7A7H3LMY2ST3UHGMMIYO","json":"https://pith.science/pith/NSB3TD7A7H3LMY2ST3UHGMMIYO.json","graph_json":"https://pith.science/api/pith-number/NSB3TD7A7H3LMY2ST3UHGMMIYO/graph.json","events_json":"https://pith.science/api/pith-number/NSB3TD7A7H3LMY2ST3UHGMMIYO/events.json","paper":"https://pith.science/paper/NSB3TD7A"},"agent_actions":{"view_html":"https://pith.science/pith/NSB3TD7A7H3LMY2ST3UHGMMIYO","download_json":"https://pith.science/pith/NSB3TD7A7H3LMY2ST3UHGMMIYO.json","view_paper":"https://pith.science/paper/NSB3TD7A","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.10539&json=true","fetch_graph":"https://pith.science/api/pith-number/NSB3TD7A7H3LMY2ST3UHGMMIYO/graph.json","fetch_events":"https://pith.science/api/pith-number/NSB3TD7A7H3LMY2ST3UHGMMIYO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NSB3TD7A7H3LMY2ST3UHGMMIYO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NSB3TD7A7H3LMY2ST3UHGMMIYO/action/storage_attestation","attest_author":"https://pith.science/pith/NSB3TD7A7H3LMY2ST3UHGMMIYO/action/author_attestation","sign_citation":"https://pith.science/pith/NSB3TD7A7H3LMY2ST3UHGMMIYO/action/citation_signature","submit_replication":"https://pith.science/pith/NSB3TD7A7H3LMY2ST3UHGMMIYO/action/replication_record"}},"created_at":"2026-06-10T01:10:25.121980+00:00","updated_at":"2026-06-10T01:10:25.121980+00:00"}