{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:X4Z3MIC2FM6GPFTUAEYN3PWL44","short_pith_number":"pith:X4Z3MIC2","canonical_record":{"source":{"id":"1701.00537","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-01-03T01:24:06Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"c8b3287496a99a7b60815b3df795e5206a5b031ab3ba32ed7156bbb0d5116ec1","abstract_canon_sha256":"68d5a7e73109ed6fbdd08c545969905347d0900d1f0e3bde809970ec955f319b"},"schema_version":"1.0"},"canonical_sha256":"bf33b6205a2b3c6796740130ddbecbe7071be52f65fcb52beaccfb96d5ada0d1","source":{"kind":"arxiv","id":"1701.00537","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.00537","created_at":"2026-05-18T00:35:35Z"},{"alias_kind":"arxiv_version","alias_value":"1701.00537v1","created_at":"2026-05-18T00:35:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.00537","created_at":"2026-05-18T00:35:35Z"},{"alias_kind":"pith_short_12","alias_value":"X4Z3MIC2FM6G","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"X4Z3MIC2FM6GPFTU","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"X4Z3MIC2","created_at":"2026-05-18T12:31:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:X4Z3MIC2FM6GPFTUAEYN3PWL44","target":"record","payload":{"canonical_record":{"source":{"id":"1701.00537","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-01-03T01:24:06Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"c8b3287496a99a7b60815b3df795e5206a5b031ab3ba32ed7156bbb0d5116ec1","abstract_canon_sha256":"68d5a7e73109ed6fbdd08c545969905347d0900d1f0e3bde809970ec955f319b"},"schema_version":"1.0"},"canonical_sha256":"bf33b6205a2b3c6796740130ddbecbe7071be52f65fcb52beaccfb96d5ada0d1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:35:35.053396Z","signature_b64":"UbygB8VreIUJ8IlXmPxl3fxkeZEys7py9tuGZwiWFftkIBt21o9Is5b88aJ36Ut4YJSdukds6g+i/lEiHeC2Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bf33b6205a2b3c6796740130ddbecbe7071be52f65fcb52beaccfb96d5ada0d1","last_reissued_at":"2026-05-18T00:35:35.052887Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:35:35.052887Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1701.00537","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":"2026-05-18T00:35:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QdCS6yOwggVwV0NxlFaw+9H0LkSWzIAhIzyF5y4/w/NnJf3TgqTKoITJ0dzKQjD6goXXVfamRDAJ9O+SnwJrAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T09:22:30.411583Z"},"content_sha256":"7b51d2808b7b88beb15cc7fbf2039213258d2f8ecf470ded873a4f7662f78eb5","schema_version":"1.0","event_id":"sha256:7b51d2808b7b88beb15cc7fbf2039213258d2f8ecf470ded873a4f7662f78eb5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:X4Z3MIC2FM6GPFTUAEYN3PWL44","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A novel sampling method for multiple multiscale targets from scattering amplitudes at a fixed frequency","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.NA","authors_text":"XiaoDong Liu","submitted_at":"2017-01-03T01:24:06Z","abstract_excerpt":"A sampling method by using scattering amplitude is proposed for shape and location reconstruction in inverse acoustic scattering problems. Only matrix multiplication is involved in the computation, thus the novel sampling method is very easy and simple to implement. With the help of the factorization of the far field operator, we establish an inf-criterion for characterization of underlying scatterers. This result is then used to give a lower bound of the proposed indicator functional for sampling points inside the scatterers. While for the sampling points outside the scatterers, we show that "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.00537","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":"2026-05-18T00:35:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"76i17lMfhC2IVe9I6nUj/nLv8m5dWPb3nQGIy1Shatyoe/TQjNK+dWOTRdrzFrEKluOPZOWOb4p7rQB99IrnBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T09:22:30.412302Z"},"content_sha256":"da60cc5ed910e290b6ed9d9dc90bed45d9e01805911d4023d1d3f665b14db102","schema_version":"1.0","event_id":"sha256:da60cc5ed910e290b6ed9d9dc90bed45d9e01805911d4023d1d3f665b14db102"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/X4Z3MIC2FM6GPFTUAEYN3PWL44/bundle.json","state_url":"https://pith.science/pith/X4Z3MIC2FM6GPFTUAEYN3PWL44/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/X4Z3MIC2FM6GPFTUAEYN3PWL44/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":"2026-05-25T09:22:30Z","links":{"resolver":"https://pith.science/pith/X4Z3MIC2FM6GPFTUAEYN3PWL44","bundle":"https://pith.science/pith/X4Z3MIC2FM6GPFTUAEYN3PWL44/bundle.json","state":"https://pith.science/pith/X4Z3MIC2FM6GPFTUAEYN3PWL44/state.json","well_known_bundle":"https://pith.science/.well-known/pith/X4Z3MIC2FM6GPFTUAEYN3PWL44/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:X4Z3MIC2FM6GPFTUAEYN3PWL44","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":"68d5a7e73109ed6fbdd08c545969905347d0900d1f0e3bde809970ec955f319b","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-01-03T01:24:06Z","title_canon_sha256":"c8b3287496a99a7b60815b3df795e5206a5b031ab3ba32ed7156bbb0d5116ec1"},"schema_version":"1.0","source":{"id":"1701.00537","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.00537","created_at":"2026-05-18T00:35:35Z"},{"alias_kind":"arxiv_version","alias_value":"1701.00537v1","created_at":"2026-05-18T00:35:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.00537","created_at":"2026-05-18T00:35:35Z"},{"alias_kind":"pith_short_12","alias_value":"X4Z3MIC2FM6G","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"X4Z3MIC2FM6GPFTU","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"X4Z3MIC2","created_at":"2026-05-18T12:31:53Z"}],"graph_snapshots":[{"event_id":"sha256:da60cc5ed910e290b6ed9d9dc90bed45d9e01805911d4023d1d3f665b14db102","target":"graph","created_at":"2026-05-18T00:35:35Z","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":"A sampling method by using scattering amplitude is proposed for shape and location reconstruction in inverse acoustic scattering problems. Only matrix multiplication is involved in the computation, thus the novel sampling method is very easy and simple to implement. With the help of the factorization of the far field operator, we establish an inf-criterion for characterization of underlying scatterers. This result is then used to give a lower bound of the proposed indicator functional for sampling points inside the scatterers. While for the sampling points outside the scatterers, we show that ","authors_text":"XiaoDong Liu","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-01-03T01:24:06Z","title":"A novel sampling method for multiple multiscale targets from scattering amplitudes at a fixed frequency"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.00537","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":"sha256:7b51d2808b7b88beb15cc7fbf2039213258d2f8ecf470ded873a4f7662f78eb5","target":"record","created_at":"2026-05-18T00:35:35Z","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":"68d5a7e73109ed6fbdd08c545969905347d0900d1f0e3bde809970ec955f319b","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-01-03T01:24:06Z","title_canon_sha256":"c8b3287496a99a7b60815b3df795e5206a5b031ab3ba32ed7156bbb0d5116ec1"},"schema_version":"1.0","source":{"id":"1701.00537","kind":"arxiv","version":1}},"canonical_sha256":"bf33b6205a2b3c6796740130ddbecbe7071be52f65fcb52beaccfb96d5ada0d1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bf33b6205a2b3c6796740130ddbecbe7071be52f65fcb52beaccfb96d5ada0d1","first_computed_at":"2026-05-18T00:35:35.052887Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:35.052887Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UbygB8VreIUJ8IlXmPxl3fxkeZEys7py9tuGZwiWFftkIBt21o9Is5b88aJ36Ut4YJSdukds6g+i/lEiHeC2Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:35.053396Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.00537","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7b51d2808b7b88beb15cc7fbf2039213258d2f8ecf470ded873a4f7662f78eb5","sha256:da60cc5ed910e290b6ed9d9dc90bed45d9e01805911d4023d1d3f665b14db102"],"state_sha256":"3d0f874bbd8a7c356c1b0c516e6bf240759174b39cb23c52567e6cf5b3a08224"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s1Rpx99gS0Gx2zKPGmXfxBswUWixShbTpRsguFSgawlE6cH5CNQjJnr94vYBRj+9fm5sbswRrnYCP8o+xHYwBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T09:22:30.415901Z","bundle_sha256":"326e495a06759c86345bf8f27531f859b49a36d3d7e4e63bb1e864ef740588b4"}}