{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:GGKGD7GG3PBGAIAZPMKMGWCJSZ","short_pith_number":"pith:GGKGD7GG","canonical_record":{"source":{"id":"1408.5020","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2014-08-21T14:43:33Z","cross_cats_sorted":[],"title_canon_sha256":"e30aff519ef2bc10f9491af439dc07489fe318800f7b4470b436e99def8dc1ed","abstract_canon_sha256":"0956278ff562db35e2a6492baa10ba50b03975a01a0e6d038922500b9b4cc663"},"schema_version":"1.0"},"canonical_sha256":"319461fcc6dbc26020197b14c35849965377a9a057f44d963cbe39ce4aa37b05","source":{"kind":"arxiv","id":"1408.5020","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.5020","created_at":"2026-05-18T02:44:40Z"},{"alias_kind":"arxiv_version","alias_value":"1408.5020v1","created_at":"2026-05-18T02:44:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.5020","created_at":"2026-05-18T02:44:40Z"},{"alias_kind":"pith_short_12","alias_value":"GGKGD7GG3PBG","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GGKGD7GG3PBGAIAZ","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GGKGD7GG","created_at":"2026-05-18T12:28:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:GGKGD7GG3PBGAIAZPMKMGWCJSZ","target":"record","payload":{"canonical_record":{"source":{"id":"1408.5020","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2014-08-21T14:43:33Z","cross_cats_sorted":[],"title_canon_sha256":"e30aff519ef2bc10f9491af439dc07489fe318800f7b4470b436e99def8dc1ed","abstract_canon_sha256":"0956278ff562db35e2a6492baa10ba50b03975a01a0e6d038922500b9b4cc663"},"schema_version":"1.0"},"canonical_sha256":"319461fcc6dbc26020197b14c35849965377a9a057f44d963cbe39ce4aa37b05","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:44:40.894577Z","signature_b64":"66dQjNgdGNBpLJYmhEjZS94aptuoQYKz5aMJ9pbcp1uZp9xkE6ZdTE5q4i8ZVAUek4RTF2eGzhrHOEUEdalTAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"319461fcc6dbc26020197b14c35849965377a9a057f44d963cbe39ce4aa37b05","last_reissued_at":"2026-05-18T02:44:40.893844Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:44:40.893844Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1408.5020","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":"2026-05-18T02:44:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uVMAi7X4IB9rIHQWN2B6B+T6lKF0k6+qhU+RUrQYDOB2NGZ91Sn7yi3OW0rXi1kzlNWAPioX331vzxQp/J43CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T10:12:58.020196Z"},"content_sha256":"89eac81f275511b3e663c012ff88c22c0a8e1806700071a0ecabb8194937f063","schema_version":"1.0","event_id":"sha256:89eac81f275511b3e663c012ff88c22c0a8e1806700071a0ecabb8194937f063"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:GGKGD7GG3PBGAIAZPMKMGWCJSZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dispersion and localization in structured Rayleigh beams","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.class-ph","authors_text":"A.B. Movchan, A. Piccolroaz","submitted_at":"2014-08-21T14:43:33Z","abstract_excerpt":"This paper brings a comparative analysis between dynamic models of couple-stress elastic materials and structured Rayleigh beams on a Winkler foundation. Although physical phenomena have different physical origins, the underlying equations appear to be similar, and hence mathematical models have a lot in common. In the present work, our main focus is on the analysis of dispersive waves, band-gaps and localized waveforms in structured Rayleigh beams. The Rayleigh beam theory includes the effects of rotational inertia which are neglected in the Euler--Bernoulli beam theory. This makes the approa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.5020","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":"2026-05-18T02:44:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eKcGSc569asqT/O1tP6Zomy1N/MLHt8gago23SKrw6JbP7k/Js2PkUXv4W6okRNXYJWbEbG/AxugFgMmDSdADg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T10:12:58.020560Z"},"content_sha256":"ee9205b7decfea84dceec437d7415bd831902feb56f0022b01e1fb477c337b43","schema_version":"1.0","event_id":"sha256:ee9205b7decfea84dceec437d7415bd831902feb56f0022b01e1fb477c337b43"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GGKGD7GG3PBGAIAZPMKMGWCJSZ/bundle.json","state_url":"https://pith.science/pith/GGKGD7GG3PBGAIAZPMKMGWCJSZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GGKGD7GG3PBGAIAZPMKMGWCJSZ/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":"2026-06-22T10:12:58Z","links":{"resolver":"https://pith.science/pith/GGKGD7GG3PBGAIAZPMKMGWCJSZ","bundle":"https://pith.science/pith/GGKGD7GG3PBGAIAZPMKMGWCJSZ/bundle.json","state":"https://pith.science/pith/GGKGD7GG3PBGAIAZPMKMGWCJSZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GGKGD7GG3PBGAIAZPMKMGWCJSZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:GGKGD7GG3PBGAIAZPMKMGWCJSZ","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":"0956278ff562db35e2a6492baa10ba50b03975a01a0e6d038922500b9b4cc663","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2014-08-21T14:43:33Z","title_canon_sha256":"e30aff519ef2bc10f9491af439dc07489fe318800f7b4470b436e99def8dc1ed"},"schema_version":"1.0","source":{"id":"1408.5020","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.5020","created_at":"2026-05-18T02:44:40Z"},{"alias_kind":"arxiv_version","alias_value":"1408.5020v1","created_at":"2026-05-18T02:44:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.5020","created_at":"2026-05-18T02:44:40Z"},{"alias_kind":"pith_short_12","alias_value":"GGKGD7GG3PBG","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GGKGD7GG3PBGAIAZ","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GGKGD7GG","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:ee9205b7decfea84dceec437d7415bd831902feb56f0022b01e1fb477c337b43","target":"graph","created_at":"2026-05-18T02:44:40Z","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":"This paper brings a comparative analysis between dynamic models of couple-stress elastic materials and structured Rayleigh beams on a Winkler foundation. Although physical phenomena have different physical origins, the underlying equations appear to be similar, and hence mathematical models have a lot in common. In the present work, our main focus is on the analysis of dispersive waves, band-gaps and localized waveforms in structured Rayleigh beams. The Rayleigh beam theory includes the effects of rotational inertia which are neglected in the Euler--Bernoulli beam theory. This makes the approa","authors_text":"A.B. Movchan, A. Piccolroaz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2014-08-21T14:43:33Z","title":"Dispersion and localization in structured Rayleigh beams"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.5020","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":"sha256:89eac81f275511b3e663c012ff88c22c0a8e1806700071a0ecabb8194937f063","target":"record","created_at":"2026-05-18T02:44:40Z","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":"0956278ff562db35e2a6492baa10ba50b03975a01a0e6d038922500b9b4cc663","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2014-08-21T14:43:33Z","title_canon_sha256":"e30aff519ef2bc10f9491af439dc07489fe318800f7b4470b436e99def8dc1ed"},"schema_version":"1.0","source":{"id":"1408.5020","kind":"arxiv","version":1}},"canonical_sha256":"319461fcc6dbc26020197b14c35849965377a9a057f44d963cbe39ce4aa37b05","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"319461fcc6dbc26020197b14c35849965377a9a057f44d963cbe39ce4aa37b05","first_computed_at":"2026-05-18T02:44:40.893844Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:44:40.893844Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"66dQjNgdGNBpLJYmhEjZS94aptuoQYKz5aMJ9pbcp1uZp9xkE6ZdTE5q4i8ZVAUek4RTF2eGzhrHOEUEdalTAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:44:40.894577Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.5020","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:89eac81f275511b3e663c012ff88c22c0a8e1806700071a0ecabb8194937f063","sha256:ee9205b7decfea84dceec437d7415bd831902feb56f0022b01e1fb477c337b43"],"state_sha256":"6adaac4b1fca38238b405e517ce814a7e5604e2d98555a973b7009b417ee3362"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M3z/FXZkyQyIINNjbpRfx1az6SUj0Ivb9ifjIXohAigC9/rjTWfpCXqIiqOauvuM/X2ahTeetn7ePRijYax1BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T10:12:58.022842Z","bundle_sha256":"71bb3cb8bbdf18b58b4912e933d3ba6e9238cf2f63d530b7e8de4197a2dd1f7f"}}