{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:CFCYUR2W2NJJZC4R5TTMPAQTXY","short_pith_number":"pith:CFCYUR2W","schema_version":"1.0","canonical_sha256":"11458a4756d3529c8b91ece6c78213be222c96d8bf051f98e4c0fe28958030ee","source":{"kind":"arxiv","id":"2605.25217","version":1},"attestation_state":"computed","paper":{"title":"Backstepping Control of First-Order Hyperbolic Equations in Arbitrary Dimensions with Non-Trapping Characteristics","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":"2026-05-24T18:51:39Z","abstract_excerpt":"This paper presents a backstepping approach for the boundary control of first-order hyperbolic equations with spatially varying coefficients posed on domains of arbitrary dimension. The method is based on a change of variables induced by the characteristic flow of the time-invariant transport operator, transforming the original multidimensional system into a continuum of decoupled one-dimensional hyperbolic equations evolving along individual characteristic curves. A backstepping controller is then designed for each equation in the decomposition, and the resulting control laws are reassembled "},"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":"2605.25217","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SY","submitted_at":"2026-05-24T18:51:39Z","cross_cats_sorted":["cs.SY","math.AP"],"title_canon_sha256":"b407553fb433260d46f8d2d1f5e2d8706646b855fdb23e24afc27cbbcc8479cb","abstract_canon_sha256":"c6a18a7159271fea6d3031a1662b79cb5b9484f8b57c8d1dd7f72166f932c3ee"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-26T02:04:23.805602Z","signature_b64":"3qQgiHi+XdAXSmbZ7K6feDzphT7Er3Grax/QYmEohtBMuxsuxRRUTqmsv9x1chE47ZCRSAo8Yh7KkjkVvKsaBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"11458a4756d3529c8b91ece6c78213be222c96d8bf051f98e4c0fe28958030ee","last_reissued_at":"2026-05-26T02:04:23.804753Z","signature_status":"signed_v1","first_computed_at":"2026-05-26T02:04:23.804753Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Backstepping Control of First-Order Hyperbolic Equations in Arbitrary Dimensions with Non-Trapping Characteristics","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":"2026-05-24T18:51:39Z","abstract_excerpt":"This paper presents a backstepping approach for the boundary control of first-order hyperbolic equations with spatially varying coefficients posed on domains of arbitrary dimension. The method is based on a change of variables induced by the characteristic flow of the time-invariant transport operator, transforming the original multidimensional system into a continuum of decoupled one-dimensional hyperbolic equations evolving along individual characteristic curves. A backstepping controller is then designed for each equation in the decomposition, and the resulting control laws are reassembled "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.25217","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/2605.25217/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":"2605.25217","created_at":"2026-05-26T02:04:23.804899+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.25217v1","created_at":"2026-05-26T02:04:23.804899+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.25217","created_at":"2026-05-26T02:04:23.804899+00:00"},{"alias_kind":"pith_short_12","alias_value":"CFCYUR2W2NJJ","created_at":"2026-05-26T02:04:23.804899+00:00"},{"alias_kind":"pith_short_16","alias_value":"CFCYUR2W2NJJZC4R","created_at":"2026-05-26T02:04:23.804899+00:00"},{"alias_kind":"pith_short_8","alias_value":"CFCYUR2W","created_at":"2026-05-26T02:04:23.804899+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/CFCYUR2W2NJJZC4R5TTMPAQTXY","json":"https://pith.science/pith/CFCYUR2W2NJJZC4R5TTMPAQTXY.json","graph_json":"https://pith.science/api/pith-number/CFCYUR2W2NJJZC4R5TTMPAQTXY/graph.json","events_json":"https://pith.science/api/pith-number/CFCYUR2W2NJJZC4R5TTMPAQTXY/events.json","paper":"https://pith.science/paper/CFCYUR2W"},"agent_actions":{"view_html":"https://pith.science/pith/CFCYUR2W2NJJZC4R5TTMPAQTXY","download_json":"https://pith.science/pith/CFCYUR2W2NJJZC4R5TTMPAQTXY.json","view_paper":"https://pith.science/paper/CFCYUR2W","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.25217&json=true","fetch_graph":"https://pith.science/api/pith-number/CFCYUR2W2NJJZC4R5TTMPAQTXY/graph.json","fetch_events":"https://pith.science/api/pith-number/CFCYUR2W2NJJZC4R5TTMPAQTXY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CFCYUR2W2NJJZC4R5TTMPAQTXY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CFCYUR2W2NJJZC4R5TTMPAQTXY/action/storage_attestation","attest_author":"https://pith.science/pith/CFCYUR2W2NJJZC4R5TTMPAQTXY/action/author_attestation","sign_citation":"https://pith.science/pith/CFCYUR2W2NJJZC4R5TTMPAQTXY/action/citation_signature","submit_replication":"https://pith.science/pith/CFCYUR2W2NJJZC4R5TTMPAQTXY/action/replication_record"}},"created_at":"2026-05-26T02:04:23.804899+00:00","updated_at":"2026-05-26T02:04:23.804899+00:00"}