{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:DR4PUN2KOPBDS5AYSAWBDO7ITO","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":"22983bc036e10367d10ced171330d8f7f0b07e4858b5dee005ac4852a5196457","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-01-22T17:18:29Z","title_canon_sha256":"87bb2358323934fe155a51a3e4981405f6ad176aa86c560fdca16e2803778f6c"},"schema_version":"1.0","source":{"id":"1801.07206","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.07206","created_at":"2026-05-17T23:56:34Z"},{"alias_kind":"arxiv_version","alias_value":"1801.07206v4","created_at":"2026-05-17T23:56:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.07206","created_at":"2026-05-17T23:56:34Z"},{"alias_kind":"pith_short_12","alias_value":"DR4PUN2KOPBD","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"DR4PUN2KOPBDS5AY","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"DR4PUN2K","created_at":"2026-05-18T12:32:19Z"}],"graph_snapshots":[{"event_id":"sha256:8e4c0e7d87cf350842f88d24f63152f2d026a0acd1b4d4ecee7fcbd48d5787c6","target":"graph","created_at":"2026-05-17T23:56:34Z","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":"In this paper, we design Dirichlet-Neumann boundary feedback controllers for the Korteweg-de Vries (KdV) equation that act at the right endpoint of the domain. The length of the domain is allowed to be critical. Constructing backstepping controllers that act at the right endpoint of the domain is more challenging than its left endpoint counterpart. The standard application of the backstepping method fails, because corresponding kernel models become overdetermined. In order to deal with this difficulty, we introduce the pseudo-backstepping method, which uses a pseudo-kernel that satisfies all b","authors_text":"Ahmet Batal, T\\\"urker \\\"Ozsar{\\i}","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-01-22T17:18:29Z","title":"Pseudo-backstepping and its application to the control of Korteweg-de Vries equation from the right endpoint on a finite domain"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.07206","kind":"arxiv","version":4},"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:af3e368937ea47089e66463761038e0efcb43e4e944b115d21168fd072dfdc0a","target":"record","created_at":"2026-05-17T23:56:34Z","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":"22983bc036e10367d10ced171330d8f7f0b07e4858b5dee005ac4852a5196457","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-01-22T17:18:29Z","title_canon_sha256":"87bb2358323934fe155a51a3e4981405f6ad176aa86c560fdca16e2803778f6c"},"schema_version":"1.0","source":{"id":"1801.07206","kind":"arxiv","version":4}},"canonical_sha256":"1c78fa374a73c2397418902c11bbe89baece7e97242ebbf4dae28271f1055d1a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1c78fa374a73c2397418902c11bbe89baece7e97242ebbf4dae28271f1055d1a","first_computed_at":"2026-05-17T23:56:34.204963Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:56:34.204963Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nrKL6y6V8whEKtdw6sF+M4KE0y4V+C95ccGxNOfm+3K1hw70mTB53gzJwXVIh7fO11pFCOz/qIjHpz3SwSLhAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:56:34.205690Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.07206","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:af3e368937ea47089e66463761038e0efcb43e4e944b115d21168fd072dfdc0a","sha256:8e4c0e7d87cf350842f88d24f63152f2d026a0acd1b4d4ecee7fcbd48d5787c6"],"state_sha256":"ecfd7bdde39f9a8b205c2571731bc8631cf6c27ffdd434fed8159435ce35f9f3"}