{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:XJZJKVLHLTHBTQP7JFLCPKAGX3","short_pith_number":"pith:XJZJKVLH","canonical_record":{"source":{"id":"1311.4031","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-11-16T07:36:37Z","cross_cats_sorted":[],"title_canon_sha256":"ec7174f8d72ef12714d942db0db331f3da2afbf0a82f234ec7212af934bc7075","abstract_canon_sha256":"278fcb9e6eb8db106e875ecd58020cde0e9a4248942224b81a3c07211df96f88"},"schema_version":"1.0"},"canonical_sha256":"ba729555675cce19c1ff495627a806beddb2dfd445e4d4c9c1fad7e14ad80597","source":{"kind":"arxiv","id":"1311.4031","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.4031","created_at":"2026-05-18T02:56:05Z"},{"alias_kind":"arxiv_version","alias_value":"1311.4031v2","created_at":"2026-05-18T02:56:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.4031","created_at":"2026-05-18T02:56:05Z"},{"alias_kind":"pith_short_12","alias_value":"XJZJKVLHLTHB","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"XJZJKVLHLTHBTQP7","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"XJZJKVLH","created_at":"2026-05-18T12:28:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:XJZJKVLHLTHBTQP7JFLCPKAGX3","target":"record","payload":{"canonical_record":{"source":{"id":"1311.4031","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-11-16T07:36:37Z","cross_cats_sorted":[],"title_canon_sha256":"ec7174f8d72ef12714d942db0db331f3da2afbf0a82f234ec7212af934bc7075","abstract_canon_sha256":"278fcb9e6eb8db106e875ecd58020cde0e9a4248942224b81a3c07211df96f88"},"schema_version":"1.0"},"canonical_sha256":"ba729555675cce19c1ff495627a806beddb2dfd445e4d4c9c1fad7e14ad80597","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:56:05.017683Z","signature_b64":"JLdKVAp5haitjjSUIhz48gPgcilIFXqnrGFBPQpkWH185UhURyVIUIUpoKub828NVBhFVo6ANx2MuMaR65aSDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ba729555675cce19c1ff495627a806beddb2dfd445e4d4c9c1fad7e14ad80597","last_reissued_at":"2026-05-18T02:56:05.017224Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:56:05.017224Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.4031","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:56:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hKVeuzqDR9HfyQuCJvBqEh2DWQeu73mx7DN3XhqRA+Pefy9RkpHV2NuLqXz3HZ3xycQRGJjJdYzGNtbe9X33Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T01:10:04.934227Z"},"content_sha256":"20560885ea4e5dbd472571d196de8c3a71cbb0de8b892da36649a31e564eea6c","schema_version":"1.0","event_id":"sha256:20560885ea4e5dbd472571d196de8c3a71cbb0de8b892da36649a31e564eea6c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:XJZJKVLHLTHBTQP7JFLCPKAGX3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Local rapid stabilization for a Korteweg-de Vries equation with a Neumann boundary control on the right","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Jean-Michel Coron (LJLL), Qi L\\\"u","submitted_at":"2013-11-16T07:36:37Z","abstract_excerpt":"This paper is devoted to the study of the rapid exponential stabilization problem for a controlled Korteweg-de Vries equation on a bounded interval with homogeneous Dirichlet boundary conditions and Neumann boundary control at the right endpoint of the interval. For every noncritical length, we build a feedback control law to force the solution of the closed-loop system to decay exponentially to zero with arbitrarily prescribed decay rates, provided that the initial datum is small enough. Our approach relies on the construction of a suitable integral transform."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.4031","kind":"arxiv","version":2},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:56:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2gYVOrL2BgBrrksCRX1sIXzhJ+pLEavXMC9+qz+wA12Dt6rjtqYTSyaCT7NcknXCl9aC50RicN6+oVEZLmMDDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T01:10:04.934577Z"},"content_sha256":"071a0d832dc36fe9af4dc80bb2e7488286812afdec50cb3c871bee3d67c19fef","schema_version":"1.0","event_id":"sha256:071a0d832dc36fe9af4dc80bb2e7488286812afdec50cb3c871bee3d67c19fef"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XJZJKVLHLTHBTQP7JFLCPKAGX3/bundle.json","state_url":"https://pith.science/pith/XJZJKVLHLTHBTQP7JFLCPKAGX3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XJZJKVLHLTHBTQP7JFLCPKAGX3/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-26T01:10:04Z","links":{"resolver":"https://pith.science/pith/XJZJKVLHLTHBTQP7JFLCPKAGX3","bundle":"https://pith.science/pith/XJZJKVLHLTHBTQP7JFLCPKAGX3/bundle.json","state":"https://pith.science/pith/XJZJKVLHLTHBTQP7JFLCPKAGX3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XJZJKVLHLTHBTQP7JFLCPKAGX3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:XJZJKVLHLTHBTQP7JFLCPKAGX3","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":"278fcb9e6eb8db106e875ecd58020cde0e9a4248942224b81a3c07211df96f88","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-11-16T07:36:37Z","title_canon_sha256":"ec7174f8d72ef12714d942db0db331f3da2afbf0a82f234ec7212af934bc7075"},"schema_version":"1.0","source":{"id":"1311.4031","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.4031","created_at":"2026-05-18T02:56:05Z"},{"alias_kind":"arxiv_version","alias_value":"1311.4031v2","created_at":"2026-05-18T02:56:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.4031","created_at":"2026-05-18T02:56:05Z"},{"alias_kind":"pith_short_12","alias_value":"XJZJKVLHLTHB","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"XJZJKVLHLTHBTQP7","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"XJZJKVLH","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:071a0d832dc36fe9af4dc80bb2e7488286812afdec50cb3c871bee3d67c19fef","target":"graph","created_at":"2026-05-18T02:56:05Z","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":"This paper is devoted to the study of the rapid exponential stabilization problem for a controlled Korteweg-de Vries equation on a bounded interval with homogeneous Dirichlet boundary conditions and Neumann boundary control at the right endpoint of the interval. For every noncritical length, we build a feedback control law to force the solution of the closed-loop system to decay exponentially to zero with arbitrarily prescribed decay rates, provided that the initial datum is small enough. Our approach relies on the construction of a suitable integral transform.","authors_text":"Jean-Michel Coron (LJLL), Qi L\\\"u","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-11-16T07:36:37Z","title":"Local rapid stabilization for a Korteweg-de Vries equation with a Neumann boundary control on the right"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.4031","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":"sha256:20560885ea4e5dbd472571d196de8c3a71cbb0de8b892da36649a31e564eea6c","target":"record","created_at":"2026-05-18T02:56:05Z","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":"278fcb9e6eb8db106e875ecd58020cde0e9a4248942224b81a3c07211df96f88","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-11-16T07:36:37Z","title_canon_sha256":"ec7174f8d72ef12714d942db0db331f3da2afbf0a82f234ec7212af934bc7075"},"schema_version":"1.0","source":{"id":"1311.4031","kind":"arxiv","version":2}},"canonical_sha256":"ba729555675cce19c1ff495627a806beddb2dfd445e4d4c9c1fad7e14ad80597","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ba729555675cce19c1ff495627a806beddb2dfd445e4d4c9c1fad7e14ad80597","first_computed_at":"2026-05-18T02:56:05.017224Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:56:05.017224Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JLdKVAp5haitjjSUIhz48gPgcilIFXqnrGFBPQpkWH185UhURyVIUIUpoKub828NVBhFVo6ANx2MuMaR65aSDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:56:05.017683Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.4031","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:20560885ea4e5dbd472571d196de8c3a71cbb0de8b892da36649a31e564eea6c","sha256:071a0d832dc36fe9af4dc80bb2e7488286812afdec50cb3c871bee3d67c19fef"],"state_sha256":"c433599d2d67301bf1ee0f23877bbf7a5a45cbdb9a72e406dd7cd1ba4efaae4a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sFleVjxMZjedZGMcGJTsz9o+jdDjPJX5Z+iORrVYmO1R5mlpNqpGJ4fq3v3GZFiVlHxxxoWvLYO1gfzERMolAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T01:10:04.936527Z","bundle_sha256":"224eef0697d8f9e30cbf2ef9ab3af0bc4eda7ea1f68fd94134d2f5f3c46b1f2a"}}