{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:LX4IXP234AHKKYHDTID6EIFXP5","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":"70f257272843e393f0cb305399613053952a5474c6968942e1f3edc49159ec25","cross_cats_sorted":["physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2015-02-18T21:34:06Z","title_canon_sha256":"729138338970dc6c07c7210220480ef20ba8b75433c5cd40f59c06ce98b835dc"},"schema_version":"1.0","source":{"id":"1502.05423","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.05423","created_at":"2026-05-18T02:26:46Z"},{"alias_kind":"arxiv_version","alias_value":"1502.05423v1","created_at":"2026-05-18T02:26:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.05423","created_at":"2026-05-18T02:26:46Z"},{"alias_kind":"pith_short_12","alias_value":"LX4IXP234AHK","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"LX4IXP234AHKKYHD","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"LX4IXP23","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:ee5787f85f1b9895e7fcbcfaa1baebbff7f38c88ae41622c414ec23fd83b4b36","target":"graph","created_at":"2026-05-18T02:26:46Z","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":"Gradient index devices for the simultaneous control of the S 0 and A 0 Lamb modes are presented and numerically analysed. It is found a special relationship between the refractive indexes for these two modes which allows their simultaneous control by means of graded phononic crystals and thickness variations of the plate. A flat gradient index lens and a circular Luneburg lens are designed. Numerical simulations show that the performance of these devices is good for the two modes in a broadband frequency region, and that this approach can be used to design more advanced refractive devices for ","authors_text":"Bahram Djafari-Rouhani, Daniel Torrent, Yabin Jin, Yan Pennec, Yongdong Pan","cross_cats":["physics.optics"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2015-02-18T21:34:06Z","title":"Gradient Index Devices for the Simultaneous Focusing of the S0 and A0 Lamb Modes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.05423","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":"sha256:2cb89437549a5b0846e12758cf422523592368896f0f0113aba3d35c39e6440e","target":"record","created_at":"2026-05-18T02:26:46Z","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":"70f257272843e393f0cb305399613053952a5474c6968942e1f3edc49159ec25","cross_cats_sorted":["physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2015-02-18T21:34:06Z","title_canon_sha256":"729138338970dc6c07c7210220480ef20ba8b75433c5cd40f59c06ce98b835dc"},"schema_version":"1.0","source":{"id":"1502.05423","kind":"arxiv","version":1}},"canonical_sha256":"5df88bbf5be00ea560e39a07e220b77f4774546e8e73210cd67bdd9b033267f4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5df88bbf5be00ea560e39a07e220b77f4774546e8e73210cd67bdd9b033267f4","first_computed_at":"2026-05-18T02:26:46.564635Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:26:46.564635Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Tsu5Fph4FVBXlliX9MTI1RUq4W3ixA1L59k3FCzb+Mk46g1+BqiuPqXkV1Cs+JnJcZT44+9Ty5bV3dFC0vWBAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:26:46.565028Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.05423","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2cb89437549a5b0846e12758cf422523592368896f0f0113aba3d35c39e6440e","sha256:ee5787f85f1b9895e7fcbcfaa1baebbff7f38c88ae41622c414ec23fd83b4b36"],"state_sha256":"384da9d3cdbfe0b0b2748b6d0e275ee4888dc1e9cdee698117f52d3b20a5b6d0"}