{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:X4Z646QVUU75X7TMWO2U6CPIGJ","short_pith_number":"pith:X4Z646QV","schema_version":"1.0","canonical_sha256":"bf33ee7a15a53fdbfe6cb3b54f09e8324a4f1d8fe574f13592fa2524ac8edb40","source":{"kind":"arxiv","id":"1602.04939","version":1},"attestation_state":"computed","paper":{"title":"A Multilevel Sampling Method for Detecting Sources in a Stratified Ocean Waveguide","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Jun Zou, Keji Liu, Yongzhi Xu","submitted_at":"2016-02-16T08:20:56Z","abstract_excerpt":"In the reconstruction process of sound waves in a 3D stratified waveguide, a key technique is to effectively reduce the huge computational demand. In this work, we propose an efficient and simple multilevel reconstruction method to help locate the accurate position of a point source in a stratified ocean. The proposed method can be viewed as a direct sampling method since no solutions of optimizations or linear systems are involved. The novel method exhibits several strengths: fast convergence, robustness against noise, advantages in computational complexity and applicability for a very small "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1602.04939","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-02-16T08:20:56Z","cross_cats_sorted":[],"title_canon_sha256":"45cbf37d09dba79f606331332f2e96d9cf72b222290488c92a2685dd0d907e40","abstract_canon_sha256":"d26b5e2f43282347b8323a75351757dd4151deef83dba246672e9ad73970caef"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:37.817465Z","signature_b64":"DoiwGdA2ozS0w1wIzJGXfkI7mqnCduBIQimOe/X6NfXUWnsj78wiZD8YaMa38mckifDSXarSXnIf4akxY7LvDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bf33ee7a15a53fdbfe6cb3b54f09e8324a4f1d8fe574f13592fa2524ac8edb40","last_reissued_at":"2026-05-18T01:20:37.817072Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:37.817072Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Multilevel Sampling Method for Detecting Sources in a Stratified Ocean Waveguide","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Jun Zou, Keji Liu, Yongzhi Xu","submitted_at":"2016-02-16T08:20:56Z","abstract_excerpt":"In the reconstruction process of sound waves in a 3D stratified waveguide, a key technique is to effectively reduce the huge computational demand. In this work, we propose an efficient and simple multilevel reconstruction method to help locate the accurate position of a point source in a stratified ocean. The proposed method can be viewed as a direct sampling method since no solutions of optimizations or linear systems are involved. The novel method exhibits several strengths: fast convergence, robustness against noise, advantages in computational complexity and applicability for a very small "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.04939","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1602.04939","created_at":"2026-05-18T01:20:37.817127+00:00"},{"alias_kind":"arxiv_version","alias_value":"1602.04939v1","created_at":"2026-05-18T01:20:37.817127+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.04939","created_at":"2026-05-18T01:20:37.817127+00:00"},{"alias_kind":"pith_short_12","alias_value":"X4Z646QVUU75","created_at":"2026-05-18T12:30:51.357362+00:00"},{"alias_kind":"pith_short_16","alias_value":"X4Z646QVUU75X7TM","created_at":"2026-05-18T12:30:51.357362+00:00"},{"alias_kind":"pith_short_8","alias_value":"X4Z646QV","created_at":"2026-05-18T12:30:51.357362+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/X4Z646QVUU75X7TMWO2U6CPIGJ","json":"https://pith.science/pith/X4Z646QVUU75X7TMWO2U6CPIGJ.json","graph_json":"https://pith.science/api/pith-number/X4Z646QVUU75X7TMWO2U6CPIGJ/graph.json","events_json":"https://pith.science/api/pith-number/X4Z646QVUU75X7TMWO2U6CPIGJ/events.json","paper":"https://pith.science/paper/X4Z646QV"},"agent_actions":{"view_html":"https://pith.science/pith/X4Z646QVUU75X7TMWO2U6CPIGJ","download_json":"https://pith.science/pith/X4Z646QVUU75X7TMWO2U6CPIGJ.json","view_paper":"https://pith.science/paper/X4Z646QV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1602.04939&json=true","fetch_graph":"https://pith.science/api/pith-number/X4Z646QVUU75X7TMWO2U6CPIGJ/graph.json","fetch_events":"https://pith.science/api/pith-number/X4Z646QVUU75X7TMWO2U6CPIGJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/X4Z646QVUU75X7TMWO2U6CPIGJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/X4Z646QVUU75X7TMWO2U6CPIGJ/action/storage_attestation","attest_author":"https://pith.science/pith/X4Z646QVUU75X7TMWO2U6CPIGJ/action/author_attestation","sign_citation":"https://pith.science/pith/X4Z646QVUU75X7TMWO2U6CPIGJ/action/citation_signature","submit_replication":"https://pith.science/pith/X4Z646QVUU75X7TMWO2U6CPIGJ/action/replication_record"}},"created_at":"2026-05-18T01:20:37.817127+00:00","updated_at":"2026-05-18T01:20:37.817127+00:00"}