{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:CORTHWEYMNIQZFBOW6JGAMXYSI","short_pith_number":"pith:CORTHWEY","canonical_record":{"source":{"id":"1008.5111","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-08-30T16:25:53Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"23bcfe31c72395e79c3b0b54837a014827b636042a81ed52baed521b17ae318e","abstract_canon_sha256":"749ffe08b9fb0caa170ab1620c0185830839b45fbdc344d2c71c74383d9ed0aa"},"schema_version":"1.0"},"canonical_sha256":"13a333d89863510c942eb7926032f892324d34349e274d0bd420622d8947b7f8","source":{"kind":"arxiv","id":"1008.5111","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.5111","created_at":"2026-05-18T04:41:37Z"},{"alias_kind":"arxiv_version","alias_value":"1008.5111v1","created_at":"2026-05-18T04:41:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.5111","created_at":"2026-05-18T04:41:37Z"},{"alias_kind":"pith_short_12","alias_value":"CORTHWEYMNIQ","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"CORTHWEYMNIQZFBO","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"CORTHWEY","created_at":"2026-05-18T12:26:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:CORTHWEYMNIQZFBOW6JGAMXYSI","target":"record","payload":{"canonical_record":{"source":{"id":"1008.5111","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-08-30T16:25:53Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"23bcfe31c72395e79c3b0b54837a014827b636042a81ed52baed521b17ae318e","abstract_canon_sha256":"749ffe08b9fb0caa170ab1620c0185830839b45fbdc344d2c71c74383d9ed0aa"},"schema_version":"1.0"},"canonical_sha256":"13a333d89863510c942eb7926032f892324d34349e274d0bd420622d8947b7f8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:41:37.117978Z","signature_b64":"51q0cdSTycU+rWWlMg8gqZ9leeYwrv05EVhcIjo8YUfjgI6mVffIwG0qGr//Nw+SIi719cZJQhMgh9AOa+A5CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"13a333d89863510c942eb7926032f892324d34349e274d0bd420622d8947b7f8","last_reissued_at":"2026-05-18T04:41:37.117202Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:41:37.117202Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1008.5111","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":"2026-05-18T04:41:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wbHbn7kFmxGFqbqeR9YUwGstGCOlTuEwnMCYoF9MoAZ0+BXaGVjFJokW6pzPsw9V9+sPO0k0B7DwbnrB1ppqBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T20:33:26.747141Z"},"content_sha256":"b2b7495e9dee4697355bcb08ac828a9ed10deb9b8b0399a7ac9a45c4b88e481e","schema_version":"1.0","event_id":"sha256:b2b7495e9dee4697355bcb08ac828a9ed10deb9b8b0399a7ac9a45c4b88e481e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:CORTHWEYMNIQZFBOW6JGAMXYSI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimal piezo-electro-mechanical coupling to control plate vibrations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"F. dell'Isola, F. Frezza, S. Alessandroni","submitted_at":"2010-08-30T16:25:53Z","abstract_excerpt":"A new way of coupling electrical and mechanical waves, using piezoelectric effect, is presented here. Since the energy exchange between two systems supporting wave propagation is maximum when their evolution is governed by similar equations, hence, an optimal electromechanical coupling is obtained by designing an electric network which is \"analog\" to the mechanical structure to be controlled. In this paper, we exploit this idea to enhance the coupling, between a Kirchhoff-Love plate and one possible synthesis of its circuital analog, as obtained by means of a set of piezoelectric actuators uni"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.5111","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":"2026-05-18T04:41:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qozj/R/JZdfhtt0/nuiZPnLDn94mHngc8iIGORY8na6RtDkub2sVlu5SaIDV6QyqJiEqoe2o5E0+32IcttXVAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T20:33:26.747492Z"},"content_sha256":"0a79d12d4e6159fb65509ec0682e41967dd95bcc918ab1e07e56c6b4aeeb2e67","schema_version":"1.0","event_id":"sha256:0a79d12d4e6159fb65509ec0682e41967dd95bcc918ab1e07e56c6b4aeeb2e67"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CORTHWEYMNIQZFBOW6JGAMXYSI/bundle.json","state_url":"https://pith.science/pith/CORTHWEYMNIQZFBOW6JGAMXYSI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CORTHWEYMNIQZFBOW6JGAMXYSI/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":"2026-06-28T20:33:26Z","links":{"resolver":"https://pith.science/pith/CORTHWEYMNIQZFBOW6JGAMXYSI","bundle":"https://pith.science/pith/CORTHWEYMNIQZFBOW6JGAMXYSI/bundle.json","state":"https://pith.science/pith/CORTHWEYMNIQZFBOW6JGAMXYSI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CORTHWEYMNIQZFBOW6JGAMXYSI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:CORTHWEYMNIQZFBOW6JGAMXYSI","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":"749ffe08b9fb0caa170ab1620c0185830839b45fbdc344d2c71c74383d9ed0aa","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-08-30T16:25:53Z","title_canon_sha256":"23bcfe31c72395e79c3b0b54837a014827b636042a81ed52baed521b17ae318e"},"schema_version":"1.0","source":{"id":"1008.5111","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.5111","created_at":"2026-05-18T04:41:37Z"},{"alias_kind":"arxiv_version","alias_value":"1008.5111v1","created_at":"2026-05-18T04:41:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.5111","created_at":"2026-05-18T04:41:37Z"},{"alias_kind":"pith_short_12","alias_value":"CORTHWEYMNIQ","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"CORTHWEYMNIQZFBO","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"CORTHWEY","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:0a79d12d4e6159fb65509ec0682e41967dd95bcc918ab1e07e56c6b4aeeb2e67","target":"graph","created_at":"2026-05-18T04:41:37Z","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":"A new way of coupling electrical and mechanical waves, using piezoelectric effect, is presented here. Since the energy exchange between two systems supporting wave propagation is maximum when their evolution is governed by similar equations, hence, an optimal electromechanical coupling is obtained by designing an electric network which is \"analog\" to the mechanical structure to be controlled. In this paper, we exploit this idea to enhance the coupling, between a Kirchhoff-Love plate and one possible synthesis of its circuital analog, as obtained by means of a set of piezoelectric actuators uni","authors_text":"F. dell'Isola, F. Frezza, S. Alessandroni","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-08-30T16:25:53Z","title":"Optimal piezo-electro-mechanical coupling to control plate vibrations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.5111","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:b2b7495e9dee4697355bcb08ac828a9ed10deb9b8b0399a7ac9a45c4b88e481e","target":"record","created_at":"2026-05-18T04:41:37Z","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":"749ffe08b9fb0caa170ab1620c0185830839b45fbdc344d2c71c74383d9ed0aa","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-08-30T16:25:53Z","title_canon_sha256":"23bcfe31c72395e79c3b0b54837a014827b636042a81ed52baed521b17ae318e"},"schema_version":"1.0","source":{"id":"1008.5111","kind":"arxiv","version":1}},"canonical_sha256":"13a333d89863510c942eb7926032f892324d34349e274d0bd420622d8947b7f8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"13a333d89863510c942eb7926032f892324d34349e274d0bd420622d8947b7f8","first_computed_at":"2026-05-18T04:41:37.117202Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:41:37.117202Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"51q0cdSTycU+rWWlMg8gqZ9leeYwrv05EVhcIjo8YUfjgI6mVffIwG0qGr//Nw+SIi719cZJQhMgh9AOa+A5CA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:41:37.117978Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.5111","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b2b7495e9dee4697355bcb08ac828a9ed10deb9b8b0399a7ac9a45c4b88e481e","sha256:0a79d12d4e6159fb65509ec0682e41967dd95bcc918ab1e07e56c6b4aeeb2e67"],"state_sha256":"320388229d86588896edbc744031c709280fc555821be3ad39e0b302deea7624"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Msu1QD8iuaRnpAMbINv9srd92nm5IOcOb9EhoXreR5ly7ebgyYzDemUw9pK8ERfqWZdpmDJTiCyhYXkUcHVAAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T20:33:26.749619Z","bundle_sha256":"c7372b637268a157008b2a59a46adaa1af326b913611a85c0bef30703fe12a6a"}}