{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:IEHD24QWQ2S2JKYM7B2PN3VTJN","short_pith_number":"pith:IEHD24QW","canonical_record":{"source":{"id":"1612.06604","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-12-20T11:03:10Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"cb8e665037bfe1f1c14a8b547ea41d4bd61c1ff412ded02d039aeb8f6974df74","abstract_canon_sha256":"3849185d192841a6ddc24d4d4efae96e5106e76e6eb0c84873926a2698b89ca0"},"schema_version":"1.0"},"canonical_sha256":"410e3d721686a5a4ab0cf874f6eeb34b588430099217b11a0f7af483c5c6818e","source":{"kind":"arxiv","id":"1612.06604","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.06604","created_at":"2026-05-18T00:54:25Z"},{"alias_kind":"arxiv_version","alias_value":"1612.06604v1","created_at":"2026-05-18T00:54:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.06604","created_at":"2026-05-18T00:54:25Z"},{"alias_kind":"pith_short_12","alias_value":"IEHD24QWQ2S2","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"IEHD24QWQ2S2JKYM","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"IEHD24QW","created_at":"2026-05-18T12:30:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:IEHD24QWQ2S2JKYM7B2PN3VTJN","target":"record","payload":{"canonical_record":{"source":{"id":"1612.06604","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-12-20T11:03:10Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"cb8e665037bfe1f1c14a8b547ea41d4bd61c1ff412ded02d039aeb8f6974df74","abstract_canon_sha256":"3849185d192841a6ddc24d4d4efae96e5106e76e6eb0c84873926a2698b89ca0"},"schema_version":"1.0"},"canonical_sha256":"410e3d721686a5a4ab0cf874f6eeb34b588430099217b11a0f7af483c5c6818e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:54:25.248343Z","signature_b64":"iMLslB+dguplxT4eJnHu3VhQO6nKkxigoOZgbJnplsCom24PCFyWPYX7FZUsjyo7Ni+ShXdlP2cArqVgpVatDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"410e3d721686a5a4ab0cf874f6eeb34b588430099217b11a0f7af483c5c6818e","last_reissued_at":"2026-05-18T00:54:25.247697Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:54:25.247697Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1612.06604","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":"2026-05-18T00:54:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xt7kHOQwnAyJFxDH0G6CB9vahfhWdfX7EtjM/FFCvh5optNuuA6DpDublE4PP7Z9MBQzJnis697GiVZESl8eBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T00:24:27.289918Z"},"content_sha256":"bad22280471e37d6ecb6ba1012af437fd62f522decf9e53b6d879935dc359eb0","schema_version":"1.0","event_id":"sha256:bad22280471e37d6ecb6ba1012af437fd62f522decf9e53b6d879935dc359eb0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:IEHD24QWQ2S2JKYM7B2PN3VTJN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Direct and Inverse Elastic Scattering From Anisotropic Media","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Gang Bao, Guanghui Hu, Jiguang Sun, Tao Yin","submitted_at":"2016-12-20T11:03:10Z","abstract_excerpt":"Assume a time-harmonic elastic wave is incident onto a penetrable anisotropic body embedded into a homogeneous isotropic background medium. We propose an equivalent variational formulation in a truncated bounded domain and show the uniqueness and existence of weak solutions by applying the Fredholm alternative and using properties of the Dirichlet-to-Neumann map in both two and three dimensions. The Fr\\'echet derivative of the near-field solution operator with respect to the boundary of the scatterer is derived. As an application, we design a descent algorithm for recovering the interface from"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.06604","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":"2026-05-18T00:54:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kOc4BI1MAM7VN3zmGPmDNv7h6iA5QhY7pTlwrn2SUy6oF4C51SyYBaYKe/+ZI+R/t6LI4M+k9qmmdxdqjICnBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T00:24:27.290364Z"},"content_sha256":"6064721fd997ecf381f1dd476a2c62ecad87eddf82b7a63b4b6b9230545f6074","schema_version":"1.0","event_id":"sha256:6064721fd997ecf381f1dd476a2c62ecad87eddf82b7a63b4b6b9230545f6074"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IEHD24QWQ2S2JKYM7B2PN3VTJN/bundle.json","state_url":"https://pith.science/pith/IEHD24QWQ2S2JKYM7B2PN3VTJN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IEHD24QWQ2S2JKYM7B2PN3VTJN/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":"2026-05-27T00:24:27Z","links":{"resolver":"https://pith.science/pith/IEHD24QWQ2S2JKYM7B2PN3VTJN","bundle":"https://pith.science/pith/IEHD24QWQ2S2JKYM7B2PN3VTJN/bundle.json","state":"https://pith.science/pith/IEHD24QWQ2S2JKYM7B2PN3VTJN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IEHD24QWQ2S2JKYM7B2PN3VTJN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:IEHD24QWQ2S2JKYM7B2PN3VTJN","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":"3849185d192841a6ddc24d4d4efae96e5106e76e6eb0c84873926a2698b89ca0","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-12-20T11:03:10Z","title_canon_sha256":"cb8e665037bfe1f1c14a8b547ea41d4bd61c1ff412ded02d039aeb8f6974df74"},"schema_version":"1.0","source":{"id":"1612.06604","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.06604","created_at":"2026-05-18T00:54:25Z"},{"alias_kind":"arxiv_version","alias_value":"1612.06604v1","created_at":"2026-05-18T00:54:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.06604","created_at":"2026-05-18T00:54:25Z"},{"alias_kind":"pith_short_12","alias_value":"IEHD24QWQ2S2","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"IEHD24QWQ2S2JKYM","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"IEHD24QW","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:6064721fd997ecf381f1dd476a2c62ecad87eddf82b7a63b4b6b9230545f6074","target":"graph","created_at":"2026-05-18T00:54:25Z","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":"Assume a time-harmonic elastic wave is incident onto a penetrable anisotropic body embedded into a homogeneous isotropic background medium. We propose an equivalent variational formulation in a truncated bounded domain and show the uniqueness and existence of weak solutions by applying the Fredholm alternative and using properties of the Dirichlet-to-Neumann map in both two and three dimensions. The Fr\\'echet derivative of the near-field solution operator with respect to the boundary of the scatterer is derived. As an application, we design a descent algorithm for recovering the interface from","authors_text":"Gang Bao, Guanghui Hu, Jiguang Sun, Tao Yin","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-12-20T11:03:10Z","title":"Direct and Inverse Elastic Scattering From Anisotropic Media"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.06604","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:bad22280471e37d6ecb6ba1012af437fd62f522decf9e53b6d879935dc359eb0","target":"record","created_at":"2026-05-18T00:54:25Z","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":"3849185d192841a6ddc24d4d4efae96e5106e76e6eb0c84873926a2698b89ca0","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-12-20T11:03:10Z","title_canon_sha256":"cb8e665037bfe1f1c14a8b547ea41d4bd61c1ff412ded02d039aeb8f6974df74"},"schema_version":"1.0","source":{"id":"1612.06604","kind":"arxiv","version":1}},"canonical_sha256":"410e3d721686a5a4ab0cf874f6eeb34b588430099217b11a0f7af483c5c6818e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"410e3d721686a5a4ab0cf874f6eeb34b588430099217b11a0f7af483c5c6818e","first_computed_at":"2026-05-18T00:54:25.247697Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:54:25.247697Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iMLslB+dguplxT4eJnHu3VhQO6nKkxigoOZgbJnplsCom24PCFyWPYX7FZUsjyo7Ni+ShXdlP2cArqVgpVatDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:54:25.248343Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.06604","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bad22280471e37d6ecb6ba1012af437fd62f522decf9e53b6d879935dc359eb0","sha256:6064721fd997ecf381f1dd476a2c62ecad87eddf82b7a63b4b6b9230545f6074"],"state_sha256":"a81c6e86c5175a6225fdb2e7ab20d56e2b9fe7f53f38841f2d305cc3677fe70d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i6I0tFypkZUsDMfdr5Cs8HACTmQfqCKIUBHucbLyimaW0QSl9H1wVbSHN13WDymBG2X3rGkYG2CbtypNX3KsDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T00:24:27.292996Z","bundle_sha256":"b613c6376b8c5e567c0b4988c41193e624eb7c9257a1df67fd13944e280aa472"}}