{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:P5YMZGTCC5XFX6LFKFOKD2OUNY","short_pith_number":"pith:P5YMZGTC","canonical_record":{"source":{"id":"1807.06549","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-07-17T16:55:03Z","cross_cats_sorted":["cs.SY","math-ph","math.AP","math.MP"],"title_canon_sha256":"1244769c22ae6275010f0572e7eb4a7347baeb4100d325d3d0d2e318eb6a1b99","abstract_canon_sha256":"24affad8514ebc84f9ba01e4c404f9720a748351066bf6a7eb48ac86660a9d35"},"schema_version":"1.0"},"canonical_sha256":"7f70cc9a62176e5bf965515ca1e9d46e1a0557d1d213568cf7ce1a3a8b6ff9e8","source":{"kind":"arxiv","id":"1807.06549","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.06549","created_at":"2026-05-18T00:10:32Z"},{"alias_kind":"arxiv_version","alias_value":"1807.06549v1","created_at":"2026-05-18T00:10:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.06549","created_at":"2026-05-18T00:10:32Z"},{"alias_kind":"pith_short_12","alias_value":"P5YMZGTCC5XF","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"P5YMZGTCC5XFX6LF","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"P5YMZGTC","created_at":"2026-05-18T12:32:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:P5YMZGTCC5XFX6LFKFOKD2OUNY","target":"record","payload":{"canonical_record":{"source":{"id":"1807.06549","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-07-17T16:55:03Z","cross_cats_sorted":["cs.SY","math-ph","math.AP","math.MP"],"title_canon_sha256":"1244769c22ae6275010f0572e7eb4a7347baeb4100d325d3d0d2e318eb6a1b99","abstract_canon_sha256":"24affad8514ebc84f9ba01e4c404f9720a748351066bf6a7eb48ac86660a9d35"},"schema_version":"1.0"},"canonical_sha256":"7f70cc9a62176e5bf965515ca1e9d46e1a0557d1d213568cf7ce1a3a8b6ff9e8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:10:32.721131Z","signature_b64":"nkh71pBZ0IKn0kBxDpzRsF0BDsMYeTOR+qfbrcJK6uLIEa5meyMY8NSMGL5sv39UGylp9bkD2wzaklxZj5oHDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7f70cc9a62176e5bf965515ca1e9d46e1a0557d1d213568cf7ce1a3a8b6ff9e8","last_reissued_at":"2026-05-18T00:10:32.720614Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:10:32.720614Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1807.06549","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":"2026-05-18T00:10:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4sOddgUlD1+eUYcPr1yUYKun08xljrrkmAbnnqTafqrTn3lqM4uiyKIhXdGJmANCsygkXLOZoubb0PnODHbVDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T20:09:45.994785Z"},"content_sha256":"888e725ed5bbf34ab555f28ed7894a22dcb5e839040ea7781478b042ac5dac91","schema_version":"1.0","event_id":"sha256:888e725ed5bbf34ab555f28ed7894a22dcb5e839040ea7781478b042ac5dac91"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:P5YMZGTCC5XFX6LFKFOKD2OUNY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Boundary-to-Displacement Asymptotic Gains for Wave Systems With Kelvin-Voigt Damping","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY","math-ph","math.AP","math.MP"],"primary_cat":"math.OC","authors_text":"Iasson Karafyllis, Maria Kontorinaki, Miroslav Krstic","submitted_at":"2018-07-17T16:55:03Z","abstract_excerpt":"We provide estimates for the asymptotic gains of the displacement of a vibrating string with endpoint forcing, modeled by the wave equation with Kelvin-Voigt and viscous damping and a boundary disturbance. Two asymptotic gains are studied: the gain in the L2 spatial norm and the gain in the spatial sup norm. It is shown that the asymptotic gain property holds in the L2 norm of the displacement without any assumption for the damping coefficients. The derivation of the upper bounds for the asymptotic gains is performed by either employing an eigenfunction expansion methodology or by means of a s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.06549","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":"2026-05-18T00:10:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cM6QvMFnp/+XpueMP59czvy6jazVWIag+wu3sqTuqGvEI8oNMZD4APv30VCxSuBf3wkA18Ii8Dc6sjfkqXdIDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T20:09:45.995405Z"},"content_sha256":"62e1d8f4b19f240dc26b224211d82ffd5e16743d3dcd6474128ff3f047f57198","schema_version":"1.0","event_id":"sha256:62e1d8f4b19f240dc26b224211d82ffd5e16743d3dcd6474128ff3f047f57198"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/P5YMZGTCC5XFX6LFKFOKD2OUNY/bundle.json","state_url":"https://pith.science/pith/P5YMZGTCC5XFX6LFKFOKD2OUNY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/P5YMZGTCC5XFX6LFKFOKD2OUNY/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":"2026-05-31T20:09:45Z","links":{"resolver":"https://pith.science/pith/P5YMZGTCC5XFX6LFKFOKD2OUNY","bundle":"https://pith.science/pith/P5YMZGTCC5XFX6LFKFOKD2OUNY/bundle.json","state":"https://pith.science/pith/P5YMZGTCC5XFX6LFKFOKD2OUNY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/P5YMZGTCC5XFX6LFKFOKD2OUNY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:P5YMZGTCC5XFX6LFKFOKD2OUNY","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":"24affad8514ebc84f9ba01e4c404f9720a748351066bf6a7eb48ac86660a9d35","cross_cats_sorted":["cs.SY","math-ph","math.AP","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-07-17T16:55:03Z","title_canon_sha256":"1244769c22ae6275010f0572e7eb4a7347baeb4100d325d3d0d2e318eb6a1b99"},"schema_version":"1.0","source":{"id":"1807.06549","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.06549","created_at":"2026-05-18T00:10:32Z"},{"alias_kind":"arxiv_version","alias_value":"1807.06549v1","created_at":"2026-05-18T00:10:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.06549","created_at":"2026-05-18T00:10:32Z"},{"alias_kind":"pith_short_12","alias_value":"P5YMZGTCC5XF","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"P5YMZGTCC5XFX6LF","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"P5YMZGTC","created_at":"2026-05-18T12:32:43Z"}],"graph_snapshots":[{"event_id":"sha256:62e1d8f4b19f240dc26b224211d82ffd5e16743d3dcd6474128ff3f047f57198","target":"graph","created_at":"2026-05-18T00:10:32Z","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":"We provide estimates for the asymptotic gains of the displacement of a vibrating string with endpoint forcing, modeled by the wave equation with Kelvin-Voigt and viscous damping and a boundary disturbance. Two asymptotic gains are studied: the gain in the L2 spatial norm and the gain in the spatial sup norm. It is shown that the asymptotic gain property holds in the L2 norm of the displacement without any assumption for the damping coefficients. The derivation of the upper bounds for the asymptotic gains is performed by either employing an eigenfunction expansion methodology or by means of a s","authors_text":"Iasson Karafyllis, Maria Kontorinaki, Miroslav Krstic","cross_cats":["cs.SY","math-ph","math.AP","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-07-17T16:55:03Z","title":"Boundary-to-Displacement Asymptotic Gains for Wave Systems With Kelvin-Voigt Damping"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.06549","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":"sha256:888e725ed5bbf34ab555f28ed7894a22dcb5e839040ea7781478b042ac5dac91","target":"record","created_at":"2026-05-18T00:10:32Z","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":"24affad8514ebc84f9ba01e4c404f9720a748351066bf6a7eb48ac86660a9d35","cross_cats_sorted":["cs.SY","math-ph","math.AP","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-07-17T16:55:03Z","title_canon_sha256":"1244769c22ae6275010f0572e7eb4a7347baeb4100d325d3d0d2e318eb6a1b99"},"schema_version":"1.0","source":{"id":"1807.06549","kind":"arxiv","version":1}},"canonical_sha256":"7f70cc9a62176e5bf965515ca1e9d46e1a0557d1d213568cf7ce1a3a8b6ff9e8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7f70cc9a62176e5bf965515ca1e9d46e1a0557d1d213568cf7ce1a3a8b6ff9e8","first_computed_at":"2026-05-18T00:10:32.720614Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:10:32.720614Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nkh71pBZ0IKn0kBxDpzRsF0BDsMYeTOR+qfbrcJK6uLIEa5meyMY8NSMGL5sv39UGylp9bkD2wzaklxZj5oHDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:10:32.721131Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.06549","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:888e725ed5bbf34ab555f28ed7894a22dcb5e839040ea7781478b042ac5dac91","sha256:62e1d8f4b19f240dc26b224211d82ffd5e16743d3dcd6474128ff3f047f57198"],"state_sha256":"6d73b5bae51a860bd78b145c2d8e9a90ff78a0b539306b2bb96a3428014964aa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ShBh5Pmi5uqPhFSD7qCfWNgV7nxrZ+F1y10g/GhPztSsH/KkvmW55J6xZfI51piUALvyHaw9typpT8yL9IgYCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T20:09:45.999351Z","bundle_sha256":"c98b5147ce7995cef8c82f1276592255cfb95cbd77c8cd1479dc764f11c0ebb5"}}