{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:2UQYIARSZVECDLLXMXTWA47FEH","short_pith_number":"pith:2UQYIARS","schema_version":"1.0","canonical_sha256":"d521840232cd4821ad7765e76073e521f1dc8d5927380e1b66a5a54ab07296e3","source":{"kind":"arxiv","id":"1608.01235","version":1},"attestation_state":"computed","paper":{"title":"A HSS Matrix-Inspired Butterfly-Based Direct Solver for Analyzing Scattering from Two-dimensional Objects","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.comp-ph"],"primary_cat":"math.NA","authors_text":"Eric Michielssen, Han Guo, Yang Liu","submitted_at":"2016-08-03T16:06:34Z","abstract_excerpt":"A butterfly-based fast direct integral equation solver for analyzing high-frequency scattering from two-dimensional objects is presented. The solver leverages a randomized butterfly scheme to compress blocks corresponding to near- and far-field interactions in the discretized forward and inverse electric field integral operators. The observed memory requirements and computational cost of the proposed solver scale as O(Nlog^2N) and O(N^1.5 logN), respectively. The solver is applied to the analysis of scattering from electrically large objects spanning over ten thousand of wavelengths and modele"},"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":"1608.01235","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-08-03T16:06:34Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"cc8838dc1af4af4c62bd256a8adbfa486e33f81bd4a159539c7d3d75fb980362","abstract_canon_sha256":"1e65eb417e40ead06dde90ad0b6ae931edd16857c2f7402aaa8c9d8b8f5f2301"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:43:02.511893Z","signature_b64":"3fAa8R4OUw0TFB4Y7IQ6Xt2++xwehzmddsVzrM4hnk8EcI39eLJ/nynOdFkhYqjtbnJ02oCN+SmC8wyVO73lAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d521840232cd4821ad7765e76073e521f1dc8d5927380e1b66a5a54ab07296e3","last_reissued_at":"2026-05-18T00:43:02.511191Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:43:02.511191Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A HSS Matrix-Inspired Butterfly-Based Direct Solver for Analyzing Scattering from Two-dimensional Objects","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.comp-ph"],"primary_cat":"math.NA","authors_text":"Eric Michielssen, Han Guo, Yang Liu","submitted_at":"2016-08-03T16:06:34Z","abstract_excerpt":"A butterfly-based fast direct integral equation solver for analyzing high-frequency scattering from two-dimensional objects is presented. The solver leverages a randomized butterfly scheme to compress blocks corresponding to near- and far-field interactions in the discretized forward and inverse electric field integral operators. The observed memory requirements and computational cost of the proposed solver scale as O(Nlog^2N) and O(N^1.5 logN), respectively. The solver is applied to the analysis of scattering from electrically large objects spanning over ten thousand of wavelengths and modele"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.01235","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":"1608.01235","created_at":"2026-05-18T00:43:02.511304+00:00"},{"alias_kind":"arxiv_version","alias_value":"1608.01235v1","created_at":"2026-05-18T00:43:02.511304+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.01235","created_at":"2026-05-18T00:43:02.511304+00:00"},{"alias_kind":"pith_short_12","alias_value":"2UQYIARSZVEC","created_at":"2026-05-18T12:29:55.572404+00:00"},{"alias_kind":"pith_short_16","alias_value":"2UQYIARSZVECDLLX","created_at":"2026-05-18T12:29:55.572404+00:00"},{"alias_kind":"pith_short_8","alias_value":"2UQYIARS","created_at":"2026-05-18T12:29:55.572404+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/2UQYIARSZVECDLLXMXTWA47FEH","json":"https://pith.science/pith/2UQYIARSZVECDLLXMXTWA47FEH.json","graph_json":"https://pith.science/api/pith-number/2UQYIARSZVECDLLXMXTWA47FEH/graph.json","events_json":"https://pith.science/api/pith-number/2UQYIARSZVECDLLXMXTWA47FEH/events.json","paper":"https://pith.science/paper/2UQYIARS"},"agent_actions":{"view_html":"https://pith.science/pith/2UQYIARSZVECDLLXMXTWA47FEH","download_json":"https://pith.science/pith/2UQYIARSZVECDLLXMXTWA47FEH.json","view_paper":"https://pith.science/paper/2UQYIARS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1608.01235&json=true","fetch_graph":"https://pith.science/api/pith-number/2UQYIARSZVECDLLXMXTWA47FEH/graph.json","fetch_events":"https://pith.science/api/pith-number/2UQYIARSZVECDLLXMXTWA47FEH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2UQYIARSZVECDLLXMXTWA47FEH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2UQYIARSZVECDLLXMXTWA47FEH/action/storage_attestation","attest_author":"https://pith.science/pith/2UQYIARSZVECDLLXMXTWA47FEH/action/author_attestation","sign_citation":"https://pith.science/pith/2UQYIARSZVECDLLXMXTWA47FEH/action/citation_signature","submit_replication":"https://pith.science/pith/2UQYIARSZVECDLLXMXTWA47FEH/action/replication_record"}},"created_at":"2026-05-18T00:43:02.511304+00:00","updated_at":"2026-05-18T00:43:02.511304+00:00"}