{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:X7ZWOV3FXBDGDXLRYULWKNFB3W","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":"48ee4aa42b202d2fbe075da964328216e3a390f4a3fe4265867a17be3723c0a5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-10-19T01:16:55Z","title_canon_sha256":"56507dc7e13491f972d74bbc2bf7562a64e3be7e87477c529e660c61ab6c525f"},"schema_version":"1.0","source":{"id":"1610.05836","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.05836","created_at":"2026-05-18T00:43:59Z"},{"alias_kind":"arxiv_version","alias_value":"1610.05836v3","created_at":"2026-05-18T00:43:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.05836","created_at":"2026-05-18T00:43:59Z"},{"alias_kind":"pith_short_12","alias_value":"X7ZWOV3FXBDG","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"X7ZWOV3FXBDGDXLR","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"X7ZWOV3F","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:f135164908c5166f4c824a1e6f0efc030731395fa4269205d5bfe0f4822cc114","target":"graph","created_at":"2026-05-18T00:43:59Z","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 an inverse acoustic scattering problem in simultaneously recovering an embedded obstacle and its surrounding inhomogeneous medium by formally determined far-field data. It is shown that the knowledge of the scattering amplitude with a fixed incident direction and all observation angles along with frequencies from an open interval can be used to uniquely identify the embedded obstacle, sound-soft or sound-hard disregarding the surrounding medium. Furthermore, if the surrounding inhomogeneous medium is from an admissible class (still general), then the medium can be recovered as well","authors_text":"Hongyu Liu, XiaoDong Liu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-10-19T01:16:55Z","title":"Recovery of an embedded obstacle and its surrounding medium by formally-determined scattering data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.05836","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":"sha256:5328971015059d0bfdfd5bf5530386f016fda0387df1b3cd726e3375d2ff65a3","target":"record","created_at":"2026-05-18T00:43:59Z","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":"48ee4aa42b202d2fbe075da964328216e3a390f4a3fe4265867a17be3723c0a5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-10-19T01:16:55Z","title_canon_sha256":"56507dc7e13491f972d74bbc2bf7562a64e3be7e87477c529e660c61ab6c525f"},"schema_version":"1.0","source":{"id":"1610.05836","kind":"arxiv","version":3}},"canonical_sha256":"bff3675765b84661dd71c5176534a1dd97f174f49d14e02d007b20859bb018dc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bff3675765b84661dd71c5176534a1dd97f174f49d14e02d007b20859bb018dc","first_computed_at":"2026-05-18T00:43:59.701195Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:43:59.701195Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SHc6anKiszmsejN2yLul9wQBgz7lVRL2zm6QeD2wk8ErUd+Cky1UlXYsZvdnP3K8ohGl0fLYfmkm768hAOqKAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:43:59.702728Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.05836","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5328971015059d0bfdfd5bf5530386f016fda0387df1b3cd726e3375d2ff65a3","sha256:f135164908c5166f4c824a1e6f0efc030731395fa4269205d5bfe0f4822cc114"],"state_sha256":"32309b22aab33dce59f538465a907ac29d1d445d2e821a9513f45b6b4b0587de"}