{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:ZWFNA34ANC7HIGP4F75VLTVILA","short_pith_number":"pith:ZWFNA34A","canonical_record":{"source":{"id":"1008.1641","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2010-08-10T07:35:16Z","cross_cats_sorted":[],"title_canon_sha256":"2847444e65543bd32e99fd530255ff70079702120ce4c5000765548401bdaf75","abstract_canon_sha256":"baad0a43d560e37c507713a515a3dfe506fd197eabbc6c5d552797ddf1dce39a"},"schema_version":"1.0"},"canonical_sha256":"cd8ad06f8068be7419fc2ffb55cea8583d7ec497f060b7e72499b9a4e605d4ed","source":{"kind":"arxiv","id":"1008.1641","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.1641","created_at":"2026-05-18T04:09:44Z"},{"alias_kind":"arxiv_version","alias_value":"1008.1641v3","created_at":"2026-05-18T04:09:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.1641","created_at":"2026-05-18T04:09:44Z"},{"alias_kind":"pith_short_12","alias_value":"ZWFNA34ANC7H","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"ZWFNA34ANC7HIGP4","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"ZWFNA34A","created_at":"2026-05-18T12:26:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:ZWFNA34ANC7HIGP4F75VLTVILA","target":"record","payload":{"canonical_record":{"source":{"id":"1008.1641","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2010-08-10T07:35:16Z","cross_cats_sorted":[],"title_canon_sha256":"2847444e65543bd32e99fd530255ff70079702120ce4c5000765548401bdaf75","abstract_canon_sha256":"baad0a43d560e37c507713a515a3dfe506fd197eabbc6c5d552797ddf1dce39a"},"schema_version":"1.0"},"canonical_sha256":"cd8ad06f8068be7419fc2ffb55cea8583d7ec497f060b7e72499b9a4e605d4ed","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:09:44.343204Z","signature_b64":"1Wbmskth9+aLkhLm6EaY5DFEbleYgRZxbzHBvUaEnay5rjla/4OEpiSoeKQFcqUtlTYpN7d1o+QDlCHIFsvgCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cd8ad06f8068be7419fc2ffb55cea8583d7ec497f060b7e72499b9a4e605d4ed","last_reissued_at":"2026-05-18T04:09:44.342682Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:09:44.342682Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1008.1641","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:09:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9HiIFXv5ilp8GZIuUTSbYt52tDCXuSMiuN4yoqz0VwjyIfDUXJshAoKua5Z6Mn6FltdqJFigvr6lZR35gjlaBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T09:41:26.950507Z"},"content_sha256":"4fbaab4a2d6126593aba96f58dc91d7a223ad4e2e4535b4d9dccb3073ea61766","schema_version":"1.0","event_id":"sha256:4fbaab4a2d6126593aba96f58dc91d7a223ad4e2e4535b4d9dccb3073ea61766"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:ZWFNA34ANC7HIGP4F75VLTVILA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An approximate method for controlling solid elastic waves by transformation media","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.class-ph","authors_text":"Gengkai Hu, Jin Hu, Zheng Chang","submitted_at":"2010-08-10T07:35:16Z","abstract_excerpt":"By idealizing a general mapping as a series of local affine ones, we derive approximately transformed material parameters necessary to control solid elastic waves within classical elasticity theory. The transformed elastic moduli are symmetric, and can be used with Navier's equation to manipulate elastic waves. It is shown numerically that the method can provide a powerful tool to control elastic waves in solids in case of high frequency or small material gradient. Potential applications can be anticipated in nondestructive testing, structure impact protection, petroleum exploration and seismo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.1641","kind":"arxiv","version":3},"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":"2026-05-18T04:09:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hq1Yoz/oNdgLinH/yo2gWun6zNkT0U1sXLjeUWiImfQvnrR1bjRh1LfEfuEfNlsXR8/yn141MqDRCDd6ORogCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T09:41:26.950847Z"},"content_sha256":"e7936ba8844a158f13cd26a01b92d2c1afd448d5afaf3452ca8476c7a2f138e3","schema_version":"1.0","event_id":"sha256:e7936ba8844a158f13cd26a01b92d2c1afd448d5afaf3452ca8476c7a2f138e3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZWFNA34ANC7HIGP4F75VLTVILA/bundle.json","state_url":"https://pith.science/pith/ZWFNA34ANC7HIGP4F75VLTVILA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZWFNA34ANC7HIGP4F75VLTVILA/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":"2026-05-28T09:41:26Z","links":{"resolver":"https://pith.science/pith/ZWFNA34ANC7HIGP4F75VLTVILA","bundle":"https://pith.science/pith/ZWFNA34ANC7HIGP4F75VLTVILA/bundle.json","state":"https://pith.science/pith/ZWFNA34ANC7HIGP4F75VLTVILA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZWFNA34ANC7HIGP4F75VLTVILA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:ZWFNA34ANC7HIGP4F75VLTVILA","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":"baad0a43d560e37c507713a515a3dfe506fd197eabbc6c5d552797ddf1dce39a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2010-08-10T07:35:16Z","title_canon_sha256":"2847444e65543bd32e99fd530255ff70079702120ce4c5000765548401bdaf75"},"schema_version":"1.0","source":{"id":"1008.1641","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.1641","created_at":"2026-05-18T04:09:44Z"},{"alias_kind":"arxiv_version","alias_value":"1008.1641v3","created_at":"2026-05-18T04:09:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.1641","created_at":"2026-05-18T04:09:44Z"},{"alias_kind":"pith_short_12","alias_value":"ZWFNA34ANC7H","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"ZWFNA34ANC7HIGP4","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"ZWFNA34A","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:e7936ba8844a158f13cd26a01b92d2c1afd448d5afaf3452ca8476c7a2f138e3","target":"graph","created_at":"2026-05-18T04:09:44Z","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":"By idealizing a general mapping as a series of local affine ones, we derive approximately transformed material parameters necessary to control solid elastic waves within classical elasticity theory. The transformed elastic moduli are symmetric, and can be used with Navier's equation to manipulate elastic waves. It is shown numerically that the method can provide a powerful tool to control elastic waves in solids in case of high frequency or small material gradient. Potential applications can be anticipated in nondestructive testing, structure impact protection, petroleum exploration and seismo","authors_text":"Gengkai Hu, Jin Hu, Zheng Chang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2010-08-10T07:35:16Z","title":"An approximate method for controlling solid elastic waves by transformation media"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.1641","kind":"arxiv","version":3},"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":"sha256:4fbaab4a2d6126593aba96f58dc91d7a223ad4e2e4535b4d9dccb3073ea61766","target":"record","created_at":"2026-05-18T04:09:44Z","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":"baad0a43d560e37c507713a515a3dfe506fd197eabbc6c5d552797ddf1dce39a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2010-08-10T07:35:16Z","title_canon_sha256":"2847444e65543bd32e99fd530255ff70079702120ce4c5000765548401bdaf75"},"schema_version":"1.0","source":{"id":"1008.1641","kind":"arxiv","version":3}},"canonical_sha256":"cd8ad06f8068be7419fc2ffb55cea8583d7ec497f060b7e72499b9a4e605d4ed","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cd8ad06f8068be7419fc2ffb55cea8583d7ec497f060b7e72499b9a4e605d4ed","first_computed_at":"2026-05-18T04:09:44.342682Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:09:44.342682Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1Wbmskth9+aLkhLm6EaY5DFEbleYgRZxbzHBvUaEnay5rjla/4OEpiSoeKQFcqUtlTYpN7d1o+QDlCHIFsvgCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:09:44.343204Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.1641","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4fbaab4a2d6126593aba96f58dc91d7a223ad4e2e4535b4d9dccb3073ea61766","sha256:e7936ba8844a158f13cd26a01b92d2c1afd448d5afaf3452ca8476c7a2f138e3"],"state_sha256":"f80476d0f313c2c9f083770429e9618fe4debaa6e4bd312decfefb3bd6d76349"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XacGRMpn7u9l0p8wC3Iht4y/wiB7igqzqxZNC6EFMfy3kM4iaIdEkHMH9IqYWmok59r90JcJ0vL+bJ6kPDxsAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T09:41:26.952827Z","bundle_sha256":"533bc1619739711e66181160d947a63808f8e08ae40982b5ff62175c47773e2c"}}