{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:FA37LKFWBPXXWHMXU3Z7NSSSI2","short_pith_number":"pith:FA37LKFW","canonical_record":{"source":{"id":"1803.02297","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-03-06T16:59:41Z","cross_cats_sorted":[],"title_canon_sha256":"b5b32e5e1982884133a5b822181e2069bf3bf585f620d07d98a5d5d35d9cf74f","abstract_canon_sha256":"2fdd06df928480fb932f97d4072767ec0719feb753a66b08316f0cde5be06780"},"schema_version":"1.0"},"canonical_sha256":"2837f5a8b60bef7b1d97a6f3f6ca5246aa266c0f8ed2b75e9a2d51225fc4ae56","source":{"kind":"arxiv","id":"1803.02297","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.02297","created_at":"2026-05-18T00:12:48Z"},{"alias_kind":"arxiv_version","alias_value":"1803.02297v1","created_at":"2026-05-18T00:12:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.02297","created_at":"2026-05-18T00:12:48Z"},{"alias_kind":"pith_short_12","alias_value":"FA37LKFWBPXX","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"FA37LKFWBPXXWHMX","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"FA37LKFW","created_at":"2026-05-18T12:32:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:FA37LKFWBPXXWHMXU3Z7NSSSI2","target":"record","payload":{"canonical_record":{"source":{"id":"1803.02297","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-03-06T16:59:41Z","cross_cats_sorted":[],"title_canon_sha256":"b5b32e5e1982884133a5b822181e2069bf3bf585f620d07d98a5d5d35d9cf74f","abstract_canon_sha256":"2fdd06df928480fb932f97d4072767ec0719feb753a66b08316f0cde5be06780"},"schema_version":"1.0"},"canonical_sha256":"2837f5a8b60bef7b1d97a6f3f6ca5246aa266c0f8ed2b75e9a2d51225fc4ae56","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:12:48.272975Z","signature_b64":"GUHPRwzOZQHsLM/ZbieNjjBTaIeNtILB6remCBBog6T3DbLujCg5/MZ/97jpJLUEUk1416j0QouP98ds3vrVCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2837f5a8b60bef7b1d97a6f3f6ca5246aa266c0f8ed2b75e9a2d51225fc4ae56","last_reissued_at":"2026-05-18T00:12:48.272328Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:12:48.272328Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1803.02297","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":"2026-05-18T00:12:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2DzoZW1cuWDHj22tN3pgNyBLIsKGM/pmk6dO39KJfoDCEcWSzVFmoSuCI1PP289G72NmlVUvCGiNsnQLzzY4CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T13:28:57.067126Z"},"content_sha256":"ff32e26406cc93c07d19f7d8b8b40f02240a178c35cb32961542aff2e4c9fe7a","schema_version":"1.0","event_id":"sha256:ff32e26406cc93c07d19f7d8b8b40f02240a178c35cb32961542aff2e4c9fe7a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:FA37LKFWBPXXWHMXU3Z7NSSSI2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exponential stabilization of a smart piezoelectric composite beam with only one boundary controller","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Ahmet Ozkan Ozer","submitted_at":"2018-03-06T16:59:41Z","abstract_excerpt":"Layered smart composite beams involving a piezoelectric layer are traditionally actuated by a voltage source by the extension mechanism. In this paper, we consider only the bending and shear of a cantilevered piezoelectric smart composite beam modeled by the Mead-Marcus sandwich beam assumptions. Uniform exponential stabilitization with only one boundary state feedback controller, simultaneously controlling both bending moment and shear, is proved by using a spectral multiplier approach. The state feedback controller slightly differs from the classical counterparts by a non-trivial compact and"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.02297","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":"2026-05-18T00:12:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g2sWIfuPD5D8hqRlbr/3Noe/1AIwG3DaTvX6jQX8tqH/ihdKfrYc48a3XXDGtUHwnAB5+1zf96A8bs6AWhZRBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T13:28:57.067481Z"},"content_sha256":"007407aec0eb9fce563c7e042934c094c5a33602743938fcafea3dadb0f59fc6","schema_version":"1.0","event_id":"sha256:007407aec0eb9fce563c7e042934c094c5a33602743938fcafea3dadb0f59fc6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FA37LKFWBPXXWHMXU3Z7NSSSI2/bundle.json","state_url":"https://pith.science/pith/FA37LKFWBPXXWHMXU3Z7NSSSI2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FA37LKFWBPXXWHMXU3Z7NSSSI2/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":"2026-06-28T13:28:57Z","links":{"resolver":"https://pith.science/pith/FA37LKFWBPXXWHMXU3Z7NSSSI2","bundle":"https://pith.science/pith/FA37LKFWBPXXWHMXU3Z7NSSSI2/bundle.json","state":"https://pith.science/pith/FA37LKFWBPXXWHMXU3Z7NSSSI2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FA37LKFWBPXXWHMXU3Z7NSSSI2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:FA37LKFWBPXXWHMXU3Z7NSSSI2","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":"2fdd06df928480fb932f97d4072767ec0719feb753a66b08316f0cde5be06780","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-03-06T16:59:41Z","title_canon_sha256":"b5b32e5e1982884133a5b822181e2069bf3bf585f620d07d98a5d5d35d9cf74f"},"schema_version":"1.0","source":{"id":"1803.02297","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.02297","created_at":"2026-05-18T00:12:48Z"},{"alias_kind":"arxiv_version","alias_value":"1803.02297v1","created_at":"2026-05-18T00:12:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.02297","created_at":"2026-05-18T00:12:48Z"},{"alias_kind":"pith_short_12","alias_value":"FA37LKFWBPXX","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"FA37LKFWBPXXWHMX","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"FA37LKFW","created_at":"2026-05-18T12:32:22Z"}],"graph_snapshots":[{"event_id":"sha256:007407aec0eb9fce563c7e042934c094c5a33602743938fcafea3dadb0f59fc6","target":"graph","created_at":"2026-05-18T00:12:48Z","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":"Layered smart composite beams involving a piezoelectric layer are traditionally actuated by a voltage source by the extension mechanism. In this paper, we consider only the bending and shear of a cantilevered piezoelectric smart composite beam modeled by the Mead-Marcus sandwich beam assumptions. Uniform exponential stabilitization with only one boundary state feedback controller, simultaneously controlling both bending moment and shear, is proved by using a spectral multiplier approach. The state feedback controller slightly differs from the classical counterparts by a non-trivial compact and","authors_text":"Ahmet Ozkan Ozer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-03-06T16:59:41Z","title":"Exponential stabilization of a smart piezoelectric composite beam with only one boundary controller"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.02297","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:ff32e26406cc93c07d19f7d8b8b40f02240a178c35cb32961542aff2e4c9fe7a","target":"record","created_at":"2026-05-18T00:12:48Z","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":"2fdd06df928480fb932f97d4072767ec0719feb753a66b08316f0cde5be06780","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-03-06T16:59:41Z","title_canon_sha256":"b5b32e5e1982884133a5b822181e2069bf3bf585f620d07d98a5d5d35d9cf74f"},"schema_version":"1.0","source":{"id":"1803.02297","kind":"arxiv","version":1}},"canonical_sha256":"2837f5a8b60bef7b1d97a6f3f6ca5246aa266c0f8ed2b75e9a2d51225fc4ae56","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2837f5a8b60bef7b1d97a6f3f6ca5246aa266c0f8ed2b75e9a2d51225fc4ae56","first_computed_at":"2026-05-18T00:12:48.272328Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:12:48.272328Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GUHPRwzOZQHsLM/ZbieNjjBTaIeNtILB6remCBBog6T3DbLujCg5/MZ/97jpJLUEUk1416j0QouP98ds3vrVCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:12:48.272975Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.02297","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ff32e26406cc93c07d19f7d8b8b40f02240a178c35cb32961542aff2e4c9fe7a","sha256:007407aec0eb9fce563c7e042934c094c5a33602743938fcafea3dadb0f59fc6"],"state_sha256":"699726ac72d912ce1821784f7bf6594a8b2b6db616e72bbe7197837db10abf00"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ctsaBc+nTd4AMPAR4KJnvgBT/Vl9pugAMcNBTQDYrGGv6w6/2TePfE/yBfI4dkMivlYssflj6EHF9PwTBHTDDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T13:28:57.069324Z","bundle_sha256":"e16e55848d0954dacc76656b21a75ee8f7d0e5c7c353ba9a96e04fee3eed5abd"}}