{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:TFNQGOU5Z7FUZKKROE34PLPWLH","short_pith_number":"pith:TFNQGOU5","schema_version":"1.0","canonical_sha256":"995b033a9dcfcb4ca9517137c7adf659d7ee9a38adaae03c60e15a5cffdd06f4","source":{"kind":"arxiv","id":"1002.3993","version":1},"attestation_state":"computed","paper":{"title":"A Singularity-free Boundary Equation Method for Wave Scattering","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.optics"],"primary_cat":"physics.comp-ph","authors_text":"Igor Tsukerman","submitted_at":"2010-02-21T19:13:11Z","abstract_excerpt":"Traditional boundary integral methods suffer from the singularity of Green's kernels. The paper develops, for a model problem of 2D scattering as an illustrative example, singularity-free boundary difference equations. Instead of converting Maxwell's system into an integral boundary form first and discretizing second, here the differential equations are first discretized on a regular grid and then converted to boundary difference equations. The procedure involves nonsingular Green's functions on a lattice rather than their singular continuous counterparts. Numerical examples demonstrate the ef"},"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":"1002.3993","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2010-02-21T19:13:11Z","cross_cats_sorted":["physics.optics"],"title_canon_sha256":"af79639563cb68f5e737e22bbdaeff076e5cd91bbee3225de10e2f7bfed9ecc2","abstract_canon_sha256":"1dc00545e2655e282579053899dee0db90b8de82cf27676faa0d3c92d4ec5301"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:08:58.418299Z","signature_b64":"93O/9skU9f264pGwgX2LCglTOAaycUMNEnKXQwrGAEcxPLYaRw+GSUTCMUGTxEdASGN5vk09OAqZTwhgEOS2Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"995b033a9dcfcb4ca9517137c7adf659d7ee9a38adaae03c60e15a5cffdd06f4","last_reissued_at":"2026-05-18T02:08:58.417575Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:08:58.417575Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Singularity-free Boundary Equation Method for Wave Scattering","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.optics"],"primary_cat":"physics.comp-ph","authors_text":"Igor Tsukerman","submitted_at":"2010-02-21T19:13:11Z","abstract_excerpt":"Traditional boundary integral methods suffer from the singularity of Green's kernels. The paper develops, for a model problem of 2D scattering as an illustrative example, singularity-free boundary difference equations. Instead of converting Maxwell's system into an integral boundary form first and discretizing second, here the differential equations are first discretized on a regular grid and then converted to boundary difference equations. The procedure involves nonsingular Green's functions on a lattice rather than their singular continuous counterparts. Numerical examples demonstrate the ef"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.3993","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":"1002.3993","created_at":"2026-05-18T02:08:58.417691+00:00"},{"alias_kind":"arxiv_version","alias_value":"1002.3993v1","created_at":"2026-05-18T02:08:58.417691+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.3993","created_at":"2026-05-18T02:08:58.417691+00:00"},{"alias_kind":"pith_short_12","alias_value":"TFNQGOU5Z7FU","created_at":"2026-05-18T12:26:13.927090+00:00"},{"alias_kind":"pith_short_16","alias_value":"TFNQGOU5Z7FUZKKR","created_at":"2026-05-18T12:26:13.927090+00:00"},{"alias_kind":"pith_short_8","alias_value":"TFNQGOU5","created_at":"2026-05-18T12:26:13.927090+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/TFNQGOU5Z7FUZKKROE34PLPWLH","json":"https://pith.science/pith/TFNQGOU5Z7FUZKKROE34PLPWLH.json","graph_json":"https://pith.science/api/pith-number/TFNQGOU5Z7FUZKKROE34PLPWLH/graph.json","events_json":"https://pith.science/api/pith-number/TFNQGOU5Z7FUZKKROE34PLPWLH/events.json","paper":"https://pith.science/paper/TFNQGOU5"},"agent_actions":{"view_html":"https://pith.science/pith/TFNQGOU5Z7FUZKKROE34PLPWLH","download_json":"https://pith.science/pith/TFNQGOU5Z7FUZKKROE34PLPWLH.json","view_paper":"https://pith.science/paper/TFNQGOU5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1002.3993&json=true","fetch_graph":"https://pith.science/api/pith-number/TFNQGOU5Z7FUZKKROE34PLPWLH/graph.json","fetch_events":"https://pith.science/api/pith-number/TFNQGOU5Z7FUZKKROE34PLPWLH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TFNQGOU5Z7FUZKKROE34PLPWLH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TFNQGOU5Z7FUZKKROE34PLPWLH/action/storage_attestation","attest_author":"https://pith.science/pith/TFNQGOU5Z7FUZKKROE34PLPWLH/action/author_attestation","sign_citation":"https://pith.science/pith/TFNQGOU5Z7FUZKKROE34PLPWLH/action/citation_signature","submit_replication":"https://pith.science/pith/TFNQGOU5Z7FUZKKROE34PLPWLH/action/replication_record"}},"created_at":"2026-05-18T02:08:58.417691+00:00","updated_at":"2026-05-18T02:08:58.417691+00:00"}