{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:VZFQEU7XX2GJXQB5YGOC2LOOUA","short_pith_number":"pith:VZFQEU7X","canonical_record":{"source":{"id":"1711.00626","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-11-02T06:16:02Z","cross_cats_sorted":[],"title_canon_sha256":"2a341da431a6d44ec102cc0a35b11752efff4e5eec526689e74ceadb6c46bd04","abstract_canon_sha256":"9de56aa99300f1aa0bc981fe7244bd0348952ce967340d4a2531f1211b5dc8c7"},"schema_version":"1.0"},"canonical_sha256":"ae4b0253f7be8c9bc03dc19c2d2dcea000f1463fd8bee2a3683142a4f0d43b4f","source":{"kind":"arxiv","id":"1711.00626","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.00626","created_at":"2026-05-18T00:21:10Z"},{"alias_kind":"arxiv_version","alias_value":"1711.00626v1","created_at":"2026-05-18T00:21:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.00626","created_at":"2026-05-18T00:21:10Z"},{"alias_kind":"pith_short_12","alias_value":"VZFQEU7XX2GJ","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"VZFQEU7XX2GJXQB5","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"VZFQEU7X","created_at":"2026-05-18T12:31:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:VZFQEU7XX2GJXQB5YGOC2LOOUA","target":"record","payload":{"canonical_record":{"source":{"id":"1711.00626","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-11-02T06:16:02Z","cross_cats_sorted":[],"title_canon_sha256":"2a341da431a6d44ec102cc0a35b11752efff4e5eec526689e74ceadb6c46bd04","abstract_canon_sha256":"9de56aa99300f1aa0bc981fe7244bd0348952ce967340d4a2531f1211b5dc8c7"},"schema_version":"1.0"},"canonical_sha256":"ae4b0253f7be8c9bc03dc19c2d2dcea000f1463fd8bee2a3683142a4f0d43b4f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:21:10.012000Z","signature_b64":"RbwA2d7iWVYgb+Ja9jwCFdp/yNRBxtJiP5cZFVibqN630Kn4YN7K+11avZDlYo1b00R7pB8Vxgy1lJCiz5E1AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ae4b0253f7be8c9bc03dc19c2d2dcea000f1463fd8bee2a3683142a4f0d43b4f","last_reissued_at":"2026-05-18T00:21:10.011528Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:21:10.011528Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1711.00626","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":"2026-05-18T00:21:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XOqXxwMY7Sumr85G9dh/cN/HObNSAR5TcpIzd9Ob7v8GUt6jGfBZgs9phuNOu3VTnSg4JlwJ+AmJ13HUVTLKAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T20:15:26.785538Z"},"content_sha256":"9a4481f6238a8d5b019d4dff463ac56f8fbc5a5effd8c6ab708bb63d1b1ba48c","schema_version":"1.0","event_id":"sha256:9a4481f6238a8d5b019d4dff463ac56f8fbc5a5effd8c6ab708bb63d1b1ba48c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:VZFQEU7XX2GJXQB5YGOC2LOOUA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Direct sampling methods for inverse elastic scattering problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Xia Ji, XiaoDong Liu, Yingxia Xi","submitted_at":"2017-11-02T06:16:02Z","abstract_excerpt":"We consider the inverse elastic scattering of incident plane compressional and shear waves from the knowledge of the far field patterns. Specifically, three direct sampling methods for location and shape reconstruction are proposed using the different component of the far field patterns. Only inner products are involved in the computation, thus the novel sampling methods are very simple and fast to be implemented. With the help of the factorization of the far field operator, we give a lower bound of the proposed indicator functionals for sampling points inside the scatterers. While for the sam"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.00626","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":"2026-05-18T00:21:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z0IhFPHV50j3t9pdrvsDKDl3O//7PL5kVmIqP+SEPpGBiEhgTJLDGsIOQExi7FiTk/gPBKmNpSCCUZdr31RsAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T20:15:26.785979Z"},"content_sha256":"829c5939e27fbbfdf6223173aa1121a7a5655d6cecb69e49ec30295b779705b9","schema_version":"1.0","event_id":"sha256:829c5939e27fbbfdf6223173aa1121a7a5655d6cecb69e49ec30295b779705b9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VZFQEU7XX2GJXQB5YGOC2LOOUA/bundle.json","state_url":"https://pith.science/pith/VZFQEU7XX2GJXQB5YGOC2LOOUA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VZFQEU7XX2GJXQB5YGOC2LOOUA/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":"2026-05-25T20:15:26Z","links":{"resolver":"https://pith.science/pith/VZFQEU7XX2GJXQB5YGOC2LOOUA","bundle":"https://pith.science/pith/VZFQEU7XX2GJXQB5YGOC2LOOUA/bundle.json","state":"https://pith.science/pith/VZFQEU7XX2GJXQB5YGOC2LOOUA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VZFQEU7XX2GJXQB5YGOC2LOOUA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:VZFQEU7XX2GJXQB5YGOC2LOOUA","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":"9de56aa99300f1aa0bc981fe7244bd0348952ce967340d4a2531f1211b5dc8c7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-11-02T06:16:02Z","title_canon_sha256":"2a341da431a6d44ec102cc0a35b11752efff4e5eec526689e74ceadb6c46bd04"},"schema_version":"1.0","source":{"id":"1711.00626","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.00626","created_at":"2026-05-18T00:21:10Z"},{"alias_kind":"arxiv_version","alias_value":"1711.00626v1","created_at":"2026-05-18T00:21:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.00626","created_at":"2026-05-18T00:21:10Z"},{"alias_kind":"pith_short_12","alias_value":"VZFQEU7XX2GJ","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"VZFQEU7XX2GJXQB5","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"VZFQEU7X","created_at":"2026-05-18T12:31:49Z"}],"graph_snapshots":[{"event_id":"sha256:829c5939e27fbbfdf6223173aa1121a7a5655d6cecb69e49ec30295b779705b9","target":"graph","created_at":"2026-05-18T00:21:10Z","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":"We consider the inverse elastic scattering of incident plane compressional and shear waves from the knowledge of the far field patterns. Specifically, three direct sampling methods for location and shape reconstruction are proposed using the different component of the far field patterns. Only inner products are involved in the computation, thus the novel sampling methods are very simple and fast to be implemented. With the help of the factorization of the far field operator, we give a lower bound of the proposed indicator functionals for sampling points inside the scatterers. While for the sam","authors_text":"Xia Ji, XiaoDong Liu, Yingxia Xi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-11-02T06:16:02Z","title":"Direct sampling methods for inverse elastic scattering problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.00626","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":"sha256:9a4481f6238a8d5b019d4dff463ac56f8fbc5a5effd8c6ab708bb63d1b1ba48c","target":"record","created_at":"2026-05-18T00:21:10Z","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":"9de56aa99300f1aa0bc981fe7244bd0348952ce967340d4a2531f1211b5dc8c7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-11-02T06:16:02Z","title_canon_sha256":"2a341da431a6d44ec102cc0a35b11752efff4e5eec526689e74ceadb6c46bd04"},"schema_version":"1.0","source":{"id":"1711.00626","kind":"arxiv","version":1}},"canonical_sha256":"ae4b0253f7be8c9bc03dc19c2d2dcea000f1463fd8bee2a3683142a4f0d43b4f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ae4b0253f7be8c9bc03dc19c2d2dcea000f1463fd8bee2a3683142a4f0d43b4f","first_computed_at":"2026-05-18T00:21:10.011528Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:21:10.011528Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RbwA2d7iWVYgb+Ja9jwCFdp/yNRBxtJiP5cZFVibqN630Kn4YN7K+11avZDlYo1b00R7pB8Vxgy1lJCiz5E1AA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:21:10.012000Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.00626","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9a4481f6238a8d5b019d4dff463ac56f8fbc5a5effd8c6ab708bb63d1b1ba48c","sha256:829c5939e27fbbfdf6223173aa1121a7a5655d6cecb69e49ec30295b779705b9"],"state_sha256":"4eb67c5440b3ed745d951aa467f19aa2bf713dc34774ae0a4884ee0d28d8a90a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f7DwHdJrk9MpZRArvVRmXA6zBxQAH5tN2E6zUoIa/kQF3Tx/hV9gwG2a7lw1cyqX+9tFvbUFBRMNTtOZU9AiDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T20:15:26.788963Z","bundle_sha256":"c64192b95e57a3ab4541763ff6e7972b852a7ce280012f8e8940dda4e8d40a0b"}}