{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:LCVXI2MQWUDFCHGDSTKEWBKHKU","short_pith_number":"pith:LCVXI2MQ","canonical_record":{"source":{"id":"1305.0917","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-05-04T12:57:12Z","cross_cats_sorted":[],"title_canon_sha256":"dc8fe768eb14332e7665e1197a41af5d65de0e5e7865b252895cd689914ca73c","abstract_canon_sha256":"1ad4e05c2c7f1a9bc11dbe106e30460384d386f0d6ce353b27070295d3b6387b"},"schema_version":"1.0"},"canonical_sha256":"58ab746990b506511cc394d44b05475536b345b02ad63ed8eacd2c000f0a0cc5","source":{"kind":"arxiv","id":"1305.0917","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.0917","created_at":"2026-05-18T00:42:33Z"},{"alias_kind":"arxiv_version","alias_value":"1305.0917v3","created_at":"2026-05-18T00:42:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.0917","created_at":"2026-05-18T00:42:33Z"},{"alias_kind":"pith_short_12","alias_value":"LCVXI2MQWUDF","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"LCVXI2MQWUDFCHGD","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"LCVXI2MQ","created_at":"2026-05-18T12:27:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:LCVXI2MQWUDFCHGDSTKEWBKHKU","target":"record","payload":{"canonical_record":{"source":{"id":"1305.0917","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-05-04T12:57:12Z","cross_cats_sorted":[],"title_canon_sha256":"dc8fe768eb14332e7665e1197a41af5d65de0e5e7865b252895cd689914ca73c","abstract_canon_sha256":"1ad4e05c2c7f1a9bc11dbe106e30460384d386f0d6ce353b27070295d3b6387b"},"schema_version":"1.0"},"canonical_sha256":"58ab746990b506511cc394d44b05475536b345b02ad63ed8eacd2c000f0a0cc5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:42:33.734588Z","signature_b64":"iJiq47rvrVSA3HnTP8VknGbivX8sqhLEdKQYQIe5ld0esuJSN6j0rjHMXDT66IWYVDA4Synxo4Kg2deEWGNHDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"58ab746990b506511cc394d44b05475536b345b02ad63ed8eacd2c000f0a0cc5","last_reissued_at":"2026-05-18T00:42:33.733967Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:42:33.733967Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.0917","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":"2026-05-18T00:42:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yMDpYhJxm6roTDnGFhUBQXP7PWYP8Kec2JA7cNJ51noknCgr8lteamH2DVcgopQerHzteIT5n0PuNLEGPBZ3AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T14:22:13.490808Z"},"content_sha256":"ab7476caf05e960822cf4a09c1eedb48bc90ebbd6fd540cf24813d81f5555c3d","schema_version":"1.0","event_id":"sha256:ab7476caf05e960822cf4a09c1eedb48bc90ebbd6fd540cf24813d81f5555c3d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:LCVXI2MQWUDFCHGDSTKEWBKHKU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Uniqueness in inverse acoustic and electromagnetic scattering by penetrable obstacles with embedded objects","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Bo Zhang, Haiwen Zhang, Jiaqing Yang","submitted_at":"2013-05-04T12:57:12Z","abstract_excerpt":"This paper considers the inverse problem of scattering of time-harmonic acoustic and electromagnetic plane waves by a bounded, inhomogeneous, penetrable obstacle with embedded objects inside. A new method is proposed to prove that the inhomogeneous penetrable obstacle can be uniquely determined from the far-field pattern at a fixed frequency, disregarding its contents. Our method is based on constructing a well-posed interior transmission problem in a small domain associated with the Helmholtz or modified Helmholtz equation and the Maxwell or modified Maxwell equations. A key role is played by"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.0917","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":"2026-05-18T00:42:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XIq0T1o5psBale5F1D3RYL2WzjIJqXxN+n10p9GfK/j/uDgghGrs4ly6yf8Z/HWEoYH6jaZqtxeh+uZ9oUEYAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T14:22:13.491469Z"},"content_sha256":"da1957c9e692f4aeff2d461d0b01fabb0e0950a51ca4da25d673e49e25fa0ae6","schema_version":"1.0","event_id":"sha256:da1957c9e692f4aeff2d461d0b01fabb0e0950a51ca4da25d673e49e25fa0ae6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LCVXI2MQWUDFCHGDSTKEWBKHKU/bundle.json","state_url":"https://pith.science/pith/LCVXI2MQWUDFCHGDSTKEWBKHKU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LCVXI2MQWUDFCHGDSTKEWBKHKU/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":"2026-06-06T14:22:13Z","links":{"resolver":"https://pith.science/pith/LCVXI2MQWUDFCHGDSTKEWBKHKU","bundle":"https://pith.science/pith/LCVXI2MQWUDFCHGDSTKEWBKHKU/bundle.json","state":"https://pith.science/pith/LCVXI2MQWUDFCHGDSTKEWBKHKU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LCVXI2MQWUDFCHGDSTKEWBKHKU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:LCVXI2MQWUDFCHGDSTKEWBKHKU","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":"1ad4e05c2c7f1a9bc11dbe106e30460384d386f0d6ce353b27070295d3b6387b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-05-04T12:57:12Z","title_canon_sha256":"dc8fe768eb14332e7665e1197a41af5d65de0e5e7865b252895cd689914ca73c"},"schema_version":"1.0","source":{"id":"1305.0917","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.0917","created_at":"2026-05-18T00:42:33Z"},{"alias_kind":"arxiv_version","alias_value":"1305.0917v3","created_at":"2026-05-18T00:42:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.0917","created_at":"2026-05-18T00:42:33Z"},{"alias_kind":"pith_short_12","alias_value":"LCVXI2MQWUDF","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"LCVXI2MQWUDFCHGD","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"LCVXI2MQ","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:da1957c9e692f4aeff2d461d0b01fabb0e0950a51ca4da25d673e49e25fa0ae6","target":"graph","created_at":"2026-05-18T00:42:33Z","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":"This paper considers the inverse problem of scattering of time-harmonic acoustic and electromagnetic plane waves by a bounded, inhomogeneous, penetrable obstacle with embedded objects inside. A new method is proposed to prove that the inhomogeneous penetrable obstacle can be uniquely determined from the far-field pattern at a fixed frequency, disregarding its contents. Our method is based on constructing a well-posed interior transmission problem in a small domain associated with the Helmholtz or modified Helmholtz equation and the Maxwell or modified Maxwell equations. A key role is played by","authors_text":"Bo Zhang, Haiwen Zhang, Jiaqing Yang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-05-04T12:57:12Z","title":"Uniqueness in inverse acoustic and electromagnetic scattering by penetrable obstacles with embedded objects"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.0917","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:ab7476caf05e960822cf4a09c1eedb48bc90ebbd6fd540cf24813d81f5555c3d","target":"record","created_at":"2026-05-18T00:42:33Z","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":"1ad4e05c2c7f1a9bc11dbe106e30460384d386f0d6ce353b27070295d3b6387b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-05-04T12:57:12Z","title_canon_sha256":"dc8fe768eb14332e7665e1197a41af5d65de0e5e7865b252895cd689914ca73c"},"schema_version":"1.0","source":{"id":"1305.0917","kind":"arxiv","version":3}},"canonical_sha256":"58ab746990b506511cc394d44b05475536b345b02ad63ed8eacd2c000f0a0cc5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"58ab746990b506511cc394d44b05475536b345b02ad63ed8eacd2c000f0a0cc5","first_computed_at":"2026-05-18T00:42:33.733967Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:42:33.733967Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iJiq47rvrVSA3HnTP8VknGbivX8sqhLEdKQYQIe5ld0esuJSN6j0rjHMXDT66IWYVDA4Synxo4Kg2deEWGNHDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:42:33.734588Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.0917","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ab7476caf05e960822cf4a09c1eedb48bc90ebbd6fd540cf24813d81f5555c3d","sha256:da1957c9e692f4aeff2d461d0b01fabb0e0950a51ca4da25d673e49e25fa0ae6"],"state_sha256":"1f76b417d855aeeb4b6c3003a6951ec797740b3d8eeb0715f3e97df59b2856cc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3bEIqQw+Kkc2xnCzRKP2WBXcCUUDSBHl4pGzGFZlEaAFxhee54QzHGNy1U8ICnIH6B0vKmWGf59+a4b8rhxfDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T14:22:13.495439Z","bundle_sha256":"642dfa296741ac9489eaf3fc725cc96b0318eb80536e665bffca3a0b278fe429"}}