{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:DH4RXVZISE7WCVUQIKNZED3BPZ","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":"ba4d2d19eb4d2ea72f3d44186967927f21c15a833ec74c3d1ff329843bdf01c6","cross_cats_sorted":["math-ph","math.MP","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-06-14T11:45:19Z","title_canon_sha256":"dec4481385d50081bb4da51b6ac44644b55e9054b2627cb6154aa3eaf3199a32"},"schema_version":"1.0","source":{"id":"1706.04418","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.04418","created_at":"2026-05-18T00:42:22Z"},{"alias_kind":"arxiv_version","alias_value":"1706.04418v1","created_at":"2026-05-18T00:42:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.04418","created_at":"2026-05-18T00:42:22Z"},{"alias_kind":"pith_short_12","alias_value":"DH4RXVZISE7W","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"DH4RXVZISE7WCVUQ","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"DH4RXVZI","created_at":"2026-05-18T12:31:10Z"}],"graph_snapshots":[{"event_id":"sha256:5617e22675b726f172daf679216a6b2466fed5efde0cba5c0a0fcded777d65bb","target":"graph","created_at":"2026-05-18T00:42:22Z","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 are concerned with the inverse scattering problem of extracting the geometric structures of an unknown/inaccessible inhomogeneous medium by using the corresponding acoustic far-field measurement. Using the intrinsic geometric properties of the so-called interior transmission eigenfunctions, we develop a novel inverse scattering scheme. The proposed method can efficiently capture the cusp singularities of the support of the inhomogeneous medium. If further a priori information is available on the support of the medium, say, it is a convex polyhedron, then one can actually recover its shape. ","authors_text":"Hongyu Liu, Jingzhi Li, Xiaofei Li","cross_cats":["math-ph","math.MP","math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-06-14T11:45:19Z","title":"Reconstruction via the intrinsic geometric structures of interior transmission eigenfunctions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.04418","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":"sha256:75ad6dd17db62606029d6e5441eece499509e261426318f42b94e04d0fe39347","target":"record","created_at":"2026-05-18T00:42:22Z","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":"ba4d2d19eb4d2ea72f3d44186967927f21c15a833ec74c3d1ff329843bdf01c6","cross_cats_sorted":["math-ph","math.MP","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-06-14T11:45:19Z","title_canon_sha256":"dec4481385d50081bb4da51b6ac44644b55e9054b2627cb6154aa3eaf3199a32"},"schema_version":"1.0","source":{"id":"1706.04418","kind":"arxiv","version":1}},"canonical_sha256":"19f91bd728913f615690429b920f617e476a88412736f8ab55c2153bae07abd2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"19f91bd728913f615690429b920f617e476a88412736f8ab55c2153bae07abd2","first_computed_at":"2026-05-18T00:42:22.715897Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:42:22.715897Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lwfVYD2MV+8EVsD0Tny/4mtX8dM9gBuJ/kAFMVAJfUi+ALyzN82kLaShORYz8tAMtP6wuquoc/1MENqOwqPTBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:42:22.716540Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.04418","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:75ad6dd17db62606029d6e5441eece499509e261426318f42b94e04d0fe39347","sha256:5617e22675b726f172daf679216a6b2466fed5efde0cba5c0a0fcded777d65bb"],"state_sha256":"9f07ee24ff37d563da763453902969a42979a19c5d6bbb9e019dff8fbc832780"}