{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:UBAN3RNBR6IJI7YJXWDHNLV7AV","short_pith_number":"pith:UBAN3RNB","canonical_record":{"source":{"id":"1110.5521","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2011-10-24T02:21:16Z","cross_cats_sorted":["physics.optics"],"title_canon_sha256":"a188710e96b05ae9fb03450c0f8c14954e29f32dd8ab4c5e19c6a56420104470","abstract_canon_sha256":"3f65655f88fc1fd3d13c3095416a14d142a35d3ce81a53410bd1a5cfb10a6fab"},"schema_version":"1.0"},"canonical_sha256":"a040ddc5a18f90947f09bd8676aebf056d1e14b348bab78afe7b767a1e8a2242","source":{"kind":"arxiv","id":"1110.5521","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.5521","created_at":"2026-05-18T02:00:04Z"},{"alias_kind":"arxiv_version","alias_value":"1110.5521v1","created_at":"2026-05-18T02:00:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.5521","created_at":"2026-05-18T02:00:04Z"},{"alias_kind":"pith_short_12","alias_value":"UBAN3RNBR6IJ","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"UBAN3RNBR6IJI7YJ","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"UBAN3RNB","created_at":"2026-05-18T12:26:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:UBAN3RNBR6IJI7YJXWDHNLV7AV","target":"record","payload":{"canonical_record":{"source":{"id":"1110.5521","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2011-10-24T02:21:16Z","cross_cats_sorted":["physics.optics"],"title_canon_sha256":"a188710e96b05ae9fb03450c0f8c14954e29f32dd8ab4c5e19c6a56420104470","abstract_canon_sha256":"3f65655f88fc1fd3d13c3095416a14d142a35d3ce81a53410bd1a5cfb10a6fab"},"schema_version":"1.0"},"canonical_sha256":"a040ddc5a18f90947f09bd8676aebf056d1e14b348bab78afe7b767a1e8a2242","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:00:04.070061Z","signature_b64":"e1cNGykGELpctoGnZxbDKmyq0b8gOaWVkzXjMxMUvnERUYFfmJenrLXzbqQm43D4dJeyFC9dcq9hGN5gjGvJCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a040ddc5a18f90947f09bd8676aebf056d1e14b348bab78afe7b767a1e8a2242","last_reissued_at":"2026-05-18T02:00:04.069471Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:00:04.069471Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1110.5521","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":"2026-05-18T02:00:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gD9Xuctij2JqjNAS0pjkkSxIi8/bq8H6jSkB0+tDFflVPesDFh/o9LesmhnZ6O5pSAwn/lVZnbSrChmZU8YyDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T09:24:10.554868Z"},"content_sha256":"76c03fef45f7fb1b4dd7d01eebb2e524a70a315e6d782e0e85b20f7f5e087b8c","schema_version":"1.0","event_id":"sha256:76c03fef45f7fb1b4dd7d01eebb2e524a70a315e6d782e0e85b20f7f5e087b8c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:UBAN3RNBR6IJI7YJXWDHNLV7AV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Transformation Ray Method: Controlling High Frequency Elastic Waves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.optics"],"primary_cat":"physics.class-ph","authors_text":"Gengkai Hu, Jin Hu, Xiaoning Liu, Zheng Chang","submitted_at":"2011-10-24T02:21:16Z","abstract_excerpt":"A transformation method based on elastic ray theory is proposed to control high frequency elastic waves. We show that ray path can be controlled in an exact manner, however energy distribution along the ray is only approximately controlled. A numerical example of an elastic rotator is provided to illustrate the method and to access the approximation. The proposed theory may be found potential applications in seismic wave protection and structure health monitoring."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.5521","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":"2026-05-18T02:00:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"11L+Akm7IaSGDQVyFC6iPI3IYJwANW9s33HnJhljyPYDv2JiacybG5/L0y+MyaRyIyI6IgNKCo5y+LuDEliKAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T09:24:10.555216Z"},"content_sha256":"3537c6c61ac428d100d45fa574f3ae3740184b454dda2b902e866c26ae25db54","schema_version":"1.0","event_id":"sha256:3537c6c61ac428d100d45fa574f3ae3740184b454dda2b902e866c26ae25db54"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UBAN3RNBR6IJI7YJXWDHNLV7AV/bundle.json","state_url":"https://pith.science/pith/UBAN3RNBR6IJI7YJXWDHNLV7AV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UBAN3RNBR6IJI7YJXWDHNLV7AV/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":"2026-06-02T09:24:10Z","links":{"resolver":"https://pith.science/pith/UBAN3RNBR6IJI7YJXWDHNLV7AV","bundle":"https://pith.science/pith/UBAN3RNBR6IJI7YJXWDHNLV7AV/bundle.json","state":"https://pith.science/pith/UBAN3RNBR6IJI7YJXWDHNLV7AV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UBAN3RNBR6IJI7YJXWDHNLV7AV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:UBAN3RNBR6IJI7YJXWDHNLV7AV","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":"3f65655f88fc1fd3d13c3095416a14d142a35d3ce81a53410bd1a5cfb10a6fab","cross_cats_sorted":["physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2011-10-24T02:21:16Z","title_canon_sha256":"a188710e96b05ae9fb03450c0f8c14954e29f32dd8ab4c5e19c6a56420104470"},"schema_version":"1.0","source":{"id":"1110.5521","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.5521","created_at":"2026-05-18T02:00:04Z"},{"alias_kind":"arxiv_version","alias_value":"1110.5521v1","created_at":"2026-05-18T02:00:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.5521","created_at":"2026-05-18T02:00:04Z"},{"alias_kind":"pith_short_12","alias_value":"UBAN3RNBR6IJ","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"UBAN3RNBR6IJI7YJ","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"UBAN3RNB","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:3537c6c61ac428d100d45fa574f3ae3740184b454dda2b902e866c26ae25db54","target":"graph","created_at":"2026-05-18T02:00:04Z","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 transformation method based on elastic ray theory is proposed to control high frequency elastic waves. We show that ray path can be controlled in an exact manner, however energy distribution along the ray is only approximately controlled. A numerical example of an elastic rotator is provided to illustrate the method and to access the approximation. The proposed theory may be found potential applications in seismic wave protection and structure health monitoring.","authors_text":"Gengkai Hu, Jin Hu, Xiaoning Liu, Zheng Chang","cross_cats":["physics.optics"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2011-10-24T02:21:16Z","title":"Transformation Ray Method: Controlling High Frequency Elastic Waves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.5521","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":"sha256:76c03fef45f7fb1b4dd7d01eebb2e524a70a315e6d782e0e85b20f7f5e087b8c","target":"record","created_at":"2026-05-18T02:00:04Z","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":"3f65655f88fc1fd3d13c3095416a14d142a35d3ce81a53410bd1a5cfb10a6fab","cross_cats_sorted":["physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2011-10-24T02:21:16Z","title_canon_sha256":"a188710e96b05ae9fb03450c0f8c14954e29f32dd8ab4c5e19c6a56420104470"},"schema_version":"1.0","source":{"id":"1110.5521","kind":"arxiv","version":1}},"canonical_sha256":"a040ddc5a18f90947f09bd8676aebf056d1e14b348bab78afe7b767a1e8a2242","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a040ddc5a18f90947f09bd8676aebf056d1e14b348bab78afe7b767a1e8a2242","first_computed_at":"2026-05-18T02:00:04.069471Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:00:04.069471Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"e1cNGykGELpctoGnZxbDKmyq0b8gOaWVkzXjMxMUvnERUYFfmJenrLXzbqQm43D4dJeyFC9dcq9hGN5gjGvJCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:00:04.070061Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.5521","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:76c03fef45f7fb1b4dd7d01eebb2e524a70a315e6d782e0e85b20f7f5e087b8c","sha256:3537c6c61ac428d100d45fa574f3ae3740184b454dda2b902e866c26ae25db54"],"state_sha256":"737a27dfef9a7eb2b62d042e8c4525f8aac74dfcc0bb15b2ce8593df860b3010"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BI1CBfIjB2obCzQXcujAxHAGgZPwDrot7EqtQnZxuYzE1YnKhMOnq9WV7kb5W3wkHcQjSUlqJuQWP3EqEe37Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T09:24:10.557169Z","bundle_sha256":"ef8b8569cc2337c65fcb9ae2ed68844f4ac2f555b5f35dd5fd812cf6f7353d22"}}