{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:PJZXQDKIJ6O4HF5L5D6QQX3TTR","short_pith_number":"pith:PJZXQDKI","canonical_record":{"source":{"id":"1701.01955","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-01-08T13:00:50Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"bc5deb83515b61051b5296126e50f499a2cd742b07e4fd7507e600580fc7fa53","abstract_canon_sha256":"90046dfe4d567e11ad4a46302e77429cf1053754d0c539bcbdcd4f924060262c"},"schema_version":"1.0"},"canonical_sha256":"7a73780d484f9dc397abe8fd085f739c7dfc9b04d32ed407ba661e1a820e0064","source":{"kind":"arxiv","id":"1701.01955","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.01955","created_at":"2026-05-18T00:53:12Z"},{"alias_kind":"arxiv_version","alias_value":"1701.01955v1","created_at":"2026-05-18T00:53:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.01955","created_at":"2026-05-18T00:53:12Z"},{"alias_kind":"pith_short_12","alias_value":"PJZXQDKIJ6O4","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"PJZXQDKIJ6O4HF5L","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"PJZXQDKI","created_at":"2026-05-18T12:31:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:PJZXQDKIJ6O4HF5L5D6QQX3TTR","target":"record","payload":{"canonical_record":{"source":{"id":"1701.01955","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-01-08T13:00:50Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"bc5deb83515b61051b5296126e50f499a2cd742b07e4fd7507e600580fc7fa53","abstract_canon_sha256":"90046dfe4d567e11ad4a46302e77429cf1053754d0c539bcbdcd4f924060262c"},"schema_version":"1.0"},"canonical_sha256":"7a73780d484f9dc397abe8fd085f739c7dfc9b04d32ed407ba661e1a820e0064","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:53:12.984839Z","signature_b64":"++NYeeXmfY2aj41W7Ov29yl8CxEeg3hniH7gPtiiR9iXK40TSoYtE9yaCRyQoAPlZfeSF1VRasxLeJCIatw8CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7a73780d484f9dc397abe8fd085f739c7dfc9b04d32ed407ba661e1a820e0064","last_reissued_at":"2026-05-18T00:53:12.984412Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:53:12.984412Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1701.01955","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:53:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I6uqk8DM1P6DSOkfdzAmVaTq6EVPj8XWQL6N3F+awMytiHvphu45IoTQRi1KKtQ+X/MDTyFVNrl2Ijn6cWQiAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T23:13:16.953533Z"},"content_sha256":"0db2b908426c3617e36970c43a1b9660999e5ce0d842658f692ec2da1a615854","schema_version":"1.0","event_id":"sha256:0db2b908426c3617e36970c43a1b9660999e5ce0d842658f692ec2da1a615854"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:PJZXQDKIJ6O4HF5L5D6QQX3TTR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sampled-Data Boundary Feedback Control of 1-D Parabolic PDEs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY"],"primary_cat":"math.OC","authors_text":"Iasson Karafyllis, Miroslav Krstic","submitted_at":"2017-01-08T13:00:50Z","abstract_excerpt":"The paper provides results for the application of boundary feedback control with Zero-Order-Hold (ZOH) to 1-D linear parabolic systems on bounded domains. It is shown that the continuous-time boundary feedback applied in a sample-and-hold fashion guarantees closed-loop exponential stability, provided that the sampling period is sufficiently small. Two different continuous-time feedback designs are considered: the reduced model design and the backstepping design. The obtained results provide stability estimates for weighted 2-norms of the state and robustness with respect to perturbations of th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.01955","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:53:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J8KiFL/RNqZ08/Tr3UaBfpCOWmJU+HG0pqknT8vZnniqSAjLMRuaBvNJ7igoeyFBWE892YI2omED9QbuG9dSAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T23:13:16.954178Z"},"content_sha256":"7e88c9c2a16844901706573414c272f91228ad0e613a9791f8cbd0d681918cae","schema_version":"1.0","event_id":"sha256:7e88c9c2a16844901706573414c272f91228ad0e613a9791f8cbd0d681918cae"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PJZXQDKIJ6O4HF5L5D6QQX3TTR/bundle.json","state_url":"https://pith.science/pith/PJZXQDKIJ6O4HF5L5D6QQX3TTR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PJZXQDKIJ6O4HF5L5D6QQX3TTR/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":"2026-06-10T23:13:16Z","links":{"resolver":"https://pith.science/pith/PJZXQDKIJ6O4HF5L5D6QQX3TTR","bundle":"https://pith.science/pith/PJZXQDKIJ6O4HF5L5D6QQX3TTR/bundle.json","state":"https://pith.science/pith/PJZXQDKIJ6O4HF5L5D6QQX3TTR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PJZXQDKIJ6O4HF5L5D6QQX3TTR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:PJZXQDKIJ6O4HF5L5D6QQX3TTR","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":"90046dfe4d567e11ad4a46302e77429cf1053754d0c539bcbdcd4f924060262c","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-01-08T13:00:50Z","title_canon_sha256":"bc5deb83515b61051b5296126e50f499a2cd742b07e4fd7507e600580fc7fa53"},"schema_version":"1.0","source":{"id":"1701.01955","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.01955","created_at":"2026-05-18T00:53:12Z"},{"alias_kind":"arxiv_version","alias_value":"1701.01955v1","created_at":"2026-05-18T00:53:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.01955","created_at":"2026-05-18T00:53:12Z"},{"alias_kind":"pith_short_12","alias_value":"PJZXQDKIJ6O4","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"PJZXQDKIJ6O4HF5L","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"PJZXQDKI","created_at":"2026-05-18T12:31:37Z"}],"graph_snapshots":[{"event_id":"sha256:7e88c9c2a16844901706573414c272f91228ad0e613a9791f8cbd0d681918cae","target":"graph","created_at":"2026-05-18T00:53:12Z","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":"The paper provides results for the application of boundary feedback control with Zero-Order-Hold (ZOH) to 1-D linear parabolic systems on bounded domains. It is shown that the continuous-time boundary feedback applied in a sample-and-hold fashion guarantees closed-loop exponential stability, provided that the sampling period is sufficiently small. Two different continuous-time feedback designs are considered: the reduced model design and the backstepping design. The obtained results provide stability estimates for weighted 2-norms of the state and robustness with respect to perturbations of th","authors_text":"Iasson Karafyllis, Miroslav Krstic","cross_cats":["cs.SY"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-01-08T13:00:50Z","title":"Sampled-Data Boundary Feedback Control of 1-D Parabolic PDEs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.01955","kind":"arxiv","version":1},"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":"sha256:0db2b908426c3617e36970c43a1b9660999e5ce0d842658f692ec2da1a615854","target":"record","created_at":"2026-05-18T00:53:12Z","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":"90046dfe4d567e11ad4a46302e77429cf1053754d0c539bcbdcd4f924060262c","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-01-08T13:00:50Z","title_canon_sha256":"bc5deb83515b61051b5296126e50f499a2cd742b07e4fd7507e600580fc7fa53"},"schema_version":"1.0","source":{"id":"1701.01955","kind":"arxiv","version":1}},"canonical_sha256":"7a73780d484f9dc397abe8fd085f739c7dfc9b04d32ed407ba661e1a820e0064","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7a73780d484f9dc397abe8fd085f739c7dfc9b04d32ed407ba661e1a820e0064","first_computed_at":"2026-05-18T00:53:12.984412Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:53:12.984412Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"++NYeeXmfY2aj41W7Ov29yl8CxEeg3hniH7gPtiiR9iXK40TSoYtE9yaCRyQoAPlZfeSF1VRasxLeJCIatw8CA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:53:12.984839Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.01955","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0db2b908426c3617e36970c43a1b9660999e5ce0d842658f692ec2da1a615854","sha256:7e88c9c2a16844901706573414c272f91228ad0e613a9791f8cbd0d681918cae"],"state_sha256":"5e380ecf5ec46b15369ef39970113d6d4ea7127c6e1e47e984a1ef5036845786"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xW1JJfE8XlFgLq4sAMjDUkkmHGJc+r5l7W2IgXU6J3WpxL8VlWrCLwZB+92DbJNwdp90jaQ2BIlc4vzjvdEgDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T23:13:16.958117Z","bundle_sha256":"130173f74d4126c44f1f4c457713937cd02a98d7bd60d52063df1e2931cd84d0"}}