{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:LFEGFYSATRDFFNRTRGTPRYLFBW","short_pith_number":"pith:LFEGFYSA","canonical_record":{"source":{"id":"1603.02138","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-03-07T16:23:08Z","cross_cats_sorted":[],"title_canon_sha256":"2f185e79ae30f487ce661cdbac5fe11925ed4e3a4cb08c5c45335978d68b1874","abstract_canon_sha256":"53baddf5bc558b96915ebc3aeb845964dca9a6986ce80755361c2dd38986e03b"},"schema_version":"1.0"},"canonical_sha256":"594862e2409c4652b63389a6f8e1650d98add9db6976c104baf6e90870f6f2a6","source":{"kind":"arxiv","id":"1603.02138","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.02138","created_at":"2026-05-18T01:19:31Z"},{"alias_kind":"arxiv_version","alias_value":"1603.02138v1","created_at":"2026-05-18T01:19:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.02138","created_at":"2026-05-18T01:19:31Z"},{"alias_kind":"pith_short_12","alias_value":"LFEGFYSATRDF","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LFEGFYSATRDFFNRT","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LFEGFYSA","created_at":"2026-05-18T12:30:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:LFEGFYSATRDFFNRTRGTPRYLFBW","target":"record","payload":{"canonical_record":{"source":{"id":"1603.02138","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-03-07T16:23:08Z","cross_cats_sorted":[],"title_canon_sha256":"2f185e79ae30f487ce661cdbac5fe11925ed4e3a4cb08c5c45335978d68b1874","abstract_canon_sha256":"53baddf5bc558b96915ebc3aeb845964dca9a6986ce80755361c2dd38986e03b"},"schema_version":"1.0"},"canonical_sha256":"594862e2409c4652b63389a6f8e1650d98add9db6976c104baf6e90870f6f2a6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:31.562258Z","signature_b64":"Dd/pGIIpbiiHlXbsjqXbqk56sfLj1NE6o4Waeh1U4NPsSUAKcuu5RwI6gFSP+tRcdQwglgnHFLNQ3zDa7Yk3DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"594862e2409c4652b63389a6f8e1650d98add9db6976c104baf6e90870f6f2a6","last_reissued_at":"2026-05-18T01:19:31.561826Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:31.561826Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.02138","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":"2026-05-18T01:19:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uq0Rwuw7RFFYCzvH3BKpSINxtlAjwld3OGWJflMqEECKTzEUhZDYcteS9cdXCkw53RdrctBWKh2/OPK+C8KSDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T17:47:43.083751Z"},"content_sha256":"2cb0127d3b39ff083055160b6e75e2de8bba424aec37e36c4d78ed2de7e737fb","schema_version":"1.0","event_id":"sha256:2cb0127d3b39ff083055160b6e75e2de8bba424aec37e36c4d78ed2de7e737fb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:LFEGFYSATRDFFNRTRGTPRYLFBW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Modeling and related results for current-actuated piezoelectric beams by including magnetic effects","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Ahmet Ozkan Ozer, Kirsten A. Morris","submitted_at":"2016-03-07T16:23:08Z","abstract_excerpt":"Piezo-electric material can be controlled with current as the electrical variable, instead of voltage. The main purpose of this paper is to derive the governing equations for a current-controlled piezo-electric beam and to investigate stabilizability. Besides the consideration of current control, there are several new aspects to the model here. Most significantly, magnetic effects are included. For the electromagnetic part of the model, electrical potential and magnetic vector potential are chosen to be quadratic-through thickness to include the induced effects of the electromagnetic field. Tw"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.02138","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":"2026-05-18T01:19:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hWWzDg9qC14qYxT1O0LY8YDGG15R0zpOYNN6e2gpIWUKq0tee0hGDzdJogWRhGpIEKvz8nYHmZv0rjDShBITAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T17:47:43.084092Z"},"content_sha256":"f4c8e2691ed50b812c54e6367753297c3cd3e5573e04463ba1d409cc67dec1b4","schema_version":"1.0","event_id":"sha256:f4c8e2691ed50b812c54e6367753297c3cd3e5573e04463ba1d409cc67dec1b4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LFEGFYSATRDFFNRTRGTPRYLFBW/bundle.json","state_url":"https://pith.science/pith/LFEGFYSATRDFFNRTRGTPRYLFBW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LFEGFYSATRDFFNRTRGTPRYLFBW/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":"2026-06-28T17:47:43Z","links":{"resolver":"https://pith.science/pith/LFEGFYSATRDFFNRTRGTPRYLFBW","bundle":"https://pith.science/pith/LFEGFYSATRDFFNRTRGTPRYLFBW/bundle.json","state":"https://pith.science/pith/LFEGFYSATRDFFNRTRGTPRYLFBW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LFEGFYSATRDFFNRTRGTPRYLFBW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:LFEGFYSATRDFFNRTRGTPRYLFBW","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":"53baddf5bc558b96915ebc3aeb845964dca9a6986ce80755361c2dd38986e03b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-03-07T16:23:08Z","title_canon_sha256":"2f185e79ae30f487ce661cdbac5fe11925ed4e3a4cb08c5c45335978d68b1874"},"schema_version":"1.0","source":{"id":"1603.02138","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.02138","created_at":"2026-05-18T01:19:31Z"},{"alias_kind":"arxiv_version","alias_value":"1603.02138v1","created_at":"2026-05-18T01:19:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.02138","created_at":"2026-05-18T01:19:31Z"},{"alias_kind":"pith_short_12","alias_value":"LFEGFYSATRDF","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LFEGFYSATRDFFNRT","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LFEGFYSA","created_at":"2026-05-18T12:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:f4c8e2691ed50b812c54e6367753297c3cd3e5573e04463ba1d409cc67dec1b4","target":"graph","created_at":"2026-05-18T01:19:31Z","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":"Piezo-electric material can be controlled with current as the electrical variable, instead of voltage. The main purpose of this paper is to derive the governing equations for a current-controlled piezo-electric beam and to investigate stabilizability. Besides the consideration of current control, there are several new aspects to the model here. Most significantly, magnetic effects are included. For the electromagnetic part of the model, electrical potential and magnetic vector potential are chosen to be quadratic-through thickness to include the induced effects of the electromagnetic field. Tw","authors_text":"Ahmet Ozkan Ozer, Kirsten A. Morris","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-03-07T16:23:08Z","title":"Modeling and related results for current-actuated piezoelectric beams by including magnetic effects"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.02138","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":"sha256:2cb0127d3b39ff083055160b6e75e2de8bba424aec37e36c4d78ed2de7e737fb","target":"record","created_at":"2026-05-18T01:19:31Z","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":"53baddf5bc558b96915ebc3aeb845964dca9a6986ce80755361c2dd38986e03b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-03-07T16:23:08Z","title_canon_sha256":"2f185e79ae30f487ce661cdbac5fe11925ed4e3a4cb08c5c45335978d68b1874"},"schema_version":"1.0","source":{"id":"1603.02138","kind":"arxiv","version":1}},"canonical_sha256":"594862e2409c4652b63389a6f8e1650d98add9db6976c104baf6e90870f6f2a6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"594862e2409c4652b63389a6f8e1650d98add9db6976c104baf6e90870f6f2a6","first_computed_at":"2026-05-18T01:19:31.561826Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:31.561826Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Dd/pGIIpbiiHlXbsjqXbqk56sfLj1NE6o4Waeh1U4NPsSUAKcuu5RwI6gFSP+tRcdQwglgnHFLNQ3zDa7Yk3DA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:31.562258Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.02138","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2cb0127d3b39ff083055160b6e75e2de8bba424aec37e36c4d78ed2de7e737fb","sha256:f4c8e2691ed50b812c54e6367753297c3cd3e5573e04463ba1d409cc67dec1b4"],"state_sha256":"4e5a1210e5f38fa5aab1623a9945dfdc59e93987439d7aa7099194512fc2a9ed"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P+L9kY76hXK3QA7gjmXPEPtE4HI2h1GMyIpFvP8HNvwWGKA6AamudtlgZ9PujL6JgJXzr6HisSWsY5l0uwtSCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T17:47:43.086012Z","bundle_sha256":"2cae2dd966e565147bfa0c7bebfc42e1d478ba1b7539eb04f51f576d607e3a0a"}}