{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:SPDV5DK6JIC5Q4ZGCJUAX4DL3H","short_pith_number":"pith:SPDV5DK6","canonical_record":{"source":{"id":"1801.06569","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-01-19T20:49:24Z","cross_cats_sorted":[],"title_canon_sha256":"69142d008627100297f864d4487c1b51fbf352cf5ef7dfb8eccbd3c3ac2124c1","abstract_canon_sha256":"51f36c01d1414fb650758ec86c13af8adf1e50cd3085d9453535eb96919f7581"},"schema_version":"1.0"},"canonical_sha256":"93c75e8d5e4a05d8732612680bf06bd9f7e9b393a81df83f90706e0616e20095","source":{"kind":"arxiv","id":"1801.06569","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.06569","created_at":"2026-05-18T00:25:28Z"},{"alias_kind":"arxiv_version","alias_value":"1801.06569v1","created_at":"2026-05-18T00:25:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.06569","created_at":"2026-05-18T00:25:28Z"},{"alias_kind":"pith_short_12","alias_value":"SPDV5DK6JIC5","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_16","alias_value":"SPDV5DK6JIC5Q4ZG","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_8","alias_value":"SPDV5DK6","created_at":"2026-05-18T12:32:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:SPDV5DK6JIC5Q4ZGCJUAX4DL3H","target":"record","payload":{"canonical_record":{"source":{"id":"1801.06569","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-01-19T20:49:24Z","cross_cats_sorted":[],"title_canon_sha256":"69142d008627100297f864d4487c1b51fbf352cf5ef7dfb8eccbd3c3ac2124c1","abstract_canon_sha256":"51f36c01d1414fb650758ec86c13af8adf1e50cd3085d9453535eb96919f7581"},"schema_version":"1.0"},"canonical_sha256":"93c75e8d5e4a05d8732612680bf06bd9f7e9b393a81df83f90706e0616e20095","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:25:28.384818Z","signature_b64":"yvAI33GiWv3iwZDxIcelaV5oTTCWaTicaJfWjESmAns54t00PFvj80p+/KFQeaZxVFLUb8L0s+pgwdr1p3dmBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"93c75e8d5e4a05d8732612680bf06bd9f7e9b393a81df83f90706e0616e20095","last_reissued_at":"2026-05-18T00:25:28.384231Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:25:28.384231Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.06569","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":"2026-05-18T00:25:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QtPd+fzbZ8wtmTvgxrbN/9TYeBgosQ2rdy0bZfPLJDnogN/phl+mE0kIj2GWyZB12U+BbA78bydqpuBnlxo6Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T04:27:25.035682Z"},"content_sha256":"485ce07883f858273e67f80165756233e2e68b57d13f31cfb768b83ed56ac804","schema_version":"1.0","event_id":"sha256:485ce07883f858273e67f80165756233e2e68b57d13f31cfb768b83ed56ac804"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:SPDV5DK6JIC5Q4ZGCJUAX4DL3H","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Observer-based boundary control of the sine-Gordon model energy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Alexander L. Fradkov, Boris Andrievsky, Maksim Dolgopolik","submitted_at":"2018-01-19T20:49:24Z","abstract_excerpt":"In this paper the output feedback energy control problem for the sine-Gordon model is studied. An observer for the sine-Gordon equation and a speed-gradient boundary control law for solving this problem are analysed. Explicit inequalities on system's parameters ensuring the exponential decay of the estimation error are obtained. Under an additional assumption the achievement of the control goal is proved. The results of numerical experiments demonstrate that the transient time in energy is close to the transient time in observation error."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.06569","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":"2026-05-18T00:25:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sRZ/2PAbA0b+fKqh8r+UX6FhiBfPEIRgKN9zzjS4Z1ctBHBwe9xe0gBgCJkzcTwxnMRfOJNi2MRrgGMKxiYZCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T04:27:25.036396Z"},"content_sha256":"cb582b720e155b86566751a28fd8b5fc471eda99cc3fef95dae7567f751a6067","schema_version":"1.0","event_id":"sha256:cb582b720e155b86566751a28fd8b5fc471eda99cc3fef95dae7567f751a6067"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SPDV5DK6JIC5Q4ZGCJUAX4DL3H/bundle.json","state_url":"https://pith.science/pith/SPDV5DK6JIC5Q4ZGCJUAX4DL3H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SPDV5DK6JIC5Q4ZGCJUAX4DL3H/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":"2026-05-27T04:27:25Z","links":{"resolver":"https://pith.science/pith/SPDV5DK6JIC5Q4ZGCJUAX4DL3H","bundle":"https://pith.science/pith/SPDV5DK6JIC5Q4ZGCJUAX4DL3H/bundle.json","state":"https://pith.science/pith/SPDV5DK6JIC5Q4ZGCJUAX4DL3H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SPDV5DK6JIC5Q4ZGCJUAX4DL3H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:SPDV5DK6JIC5Q4ZGCJUAX4DL3H","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":"51f36c01d1414fb650758ec86c13af8adf1e50cd3085d9453535eb96919f7581","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-01-19T20:49:24Z","title_canon_sha256":"69142d008627100297f864d4487c1b51fbf352cf5ef7dfb8eccbd3c3ac2124c1"},"schema_version":"1.0","source":{"id":"1801.06569","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.06569","created_at":"2026-05-18T00:25:28Z"},{"alias_kind":"arxiv_version","alias_value":"1801.06569v1","created_at":"2026-05-18T00:25:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.06569","created_at":"2026-05-18T00:25:28Z"},{"alias_kind":"pith_short_12","alias_value":"SPDV5DK6JIC5","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_16","alias_value":"SPDV5DK6JIC5Q4ZG","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_8","alias_value":"SPDV5DK6","created_at":"2026-05-18T12:32:53Z"}],"graph_snapshots":[{"event_id":"sha256:cb582b720e155b86566751a28fd8b5fc471eda99cc3fef95dae7567f751a6067","target":"graph","created_at":"2026-05-18T00:25:28Z","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 the output feedback energy control problem for the sine-Gordon model is studied. An observer for the sine-Gordon equation and a speed-gradient boundary control law for solving this problem are analysed. Explicit inequalities on system's parameters ensuring the exponential decay of the estimation error are obtained. Under an additional assumption the achievement of the control goal is proved. The results of numerical experiments demonstrate that the transient time in energy is close to the transient time in observation error.","authors_text":"Alexander L. Fradkov, Boris Andrievsky, Maksim Dolgopolik","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-01-19T20:49:24Z","title":"Observer-based boundary control of the sine-Gordon model energy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.06569","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":"sha256:485ce07883f858273e67f80165756233e2e68b57d13f31cfb768b83ed56ac804","target":"record","created_at":"2026-05-18T00:25:28Z","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":"51f36c01d1414fb650758ec86c13af8adf1e50cd3085d9453535eb96919f7581","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-01-19T20:49:24Z","title_canon_sha256":"69142d008627100297f864d4487c1b51fbf352cf5ef7dfb8eccbd3c3ac2124c1"},"schema_version":"1.0","source":{"id":"1801.06569","kind":"arxiv","version":1}},"canonical_sha256":"93c75e8d5e4a05d8732612680bf06bd9f7e9b393a81df83f90706e0616e20095","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"93c75e8d5e4a05d8732612680bf06bd9f7e9b393a81df83f90706e0616e20095","first_computed_at":"2026-05-18T00:25:28.384231Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:25:28.384231Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yvAI33GiWv3iwZDxIcelaV5oTTCWaTicaJfWjESmAns54t00PFvj80p+/KFQeaZxVFLUb8L0s+pgwdr1p3dmBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:25:28.384818Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.06569","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:485ce07883f858273e67f80165756233e2e68b57d13f31cfb768b83ed56ac804","sha256:cb582b720e155b86566751a28fd8b5fc471eda99cc3fef95dae7567f751a6067"],"state_sha256":"cfbbcdce619f986b3a39707af12a5b91eca75399768d20f22bf6dbc2884a2a3e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BjC8tn4PPw8U4TyW+XQ3UtY6ZlVY6ASk0sl2l+wKfh6S0FAlNYmmlPaB8/7hBNyTjs3bsIlYBqaCaU7n4z4HBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T04:27:25.040265Z","bundle_sha256":"2de20ad1196f8be5b1b2518281246aa13d8e220fbcdd698b7df8ca4d35e34a13"}}