{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:4LCBADRKKCOIQMGSQGZRMRJZFE","short_pith_number":"pith:4LCBADRK","schema_version":"1.0","canonical_sha256":"e2c4100e2a509c8830d281b3164539291fc789db718e2124c5cd42f4694b473e","source":{"kind":"arxiv","id":"1401.2435","version":1},"attestation_state":"computed","paper":{"title":"A Stable Higher Order Space-Time Galerkin Scheme for Time Domain Integral Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NA"],"primary_cat":"physics.comp-ph","authors_text":"A. J. Pray, B. Shanker, H. Ba\\u{g}c{\\i}, K. Cools, N. V. Nair, Y. Beghein","submitted_at":"2014-01-10T19:49:44Z","abstract_excerpt":"Stability of time domain integral equation (TDIE) solvers has remained an elusive goal for many years. Advancement of this research has largely progressed on four fronts: (1) Exact integration, (2) Lubich quadrature, (3) smooth temporal basis functions, and (4) Space-time separation of convolutions with the retarded potential. The latter method was explored in [Pray et al. IEEE TAP 2012]. This method's efficacy in stabilizing solutions to the time domain electric field integral equation (TD-EFIE) was demonstrated on first order surface descriptions (flat elements) in tandem with 0th order func"},"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":"1401.2435","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2014-01-10T19:49:44Z","cross_cats_sorted":["math.NA"],"title_canon_sha256":"385b041b610347b539975f72feb26420fa636e864d037456fb966b749e65591f","abstract_canon_sha256":"d77fe8951ccd15946948cec9cdca7e8ef0be80e84f6f4abd5e87608dd04f4d96"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:45:26.620970Z","signature_b64":"sp2N9MDObOmAg7m85QjLQz3aDNhDBixoKPdcRhqx11iYLfoiwG9lrCwwj5sukGUJN6SvKHOAnMHNMIEq5YtoAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e2c4100e2a509c8830d281b3164539291fc789db718e2124c5cd42f4694b473e","last_reissued_at":"2026-05-18T01:45:26.620451Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:45:26.620451Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Stable Higher Order Space-Time Galerkin Scheme for Time Domain Integral Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NA"],"primary_cat":"physics.comp-ph","authors_text":"A. J. Pray, B. Shanker, H. Ba\\u{g}c{\\i}, K. Cools, N. V. Nair, Y. Beghein","submitted_at":"2014-01-10T19:49:44Z","abstract_excerpt":"Stability of time domain integral equation (TDIE) solvers has remained an elusive goal for many years. Advancement of this research has largely progressed on four fronts: (1) Exact integration, (2) Lubich quadrature, (3) smooth temporal basis functions, and (4) Space-time separation of convolutions with the retarded potential. The latter method was explored in [Pray et al. IEEE TAP 2012]. This method's efficacy in stabilizing solutions to the time domain electric field integral equation (TD-EFIE) was demonstrated on first order surface descriptions (flat elements) in tandem with 0th order func"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.2435","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":"1401.2435","created_at":"2026-05-18T01:45:26.620525+00:00"},{"alias_kind":"arxiv_version","alias_value":"1401.2435v1","created_at":"2026-05-18T01:45:26.620525+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.2435","created_at":"2026-05-18T01:45:26.620525+00:00"},{"alias_kind":"pith_short_12","alias_value":"4LCBADRKKCOI","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_16","alias_value":"4LCBADRKKCOIQMGS","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_8","alias_value":"4LCBADRK","created_at":"2026-05-18T12:28:14.216126+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/4LCBADRKKCOIQMGSQGZRMRJZFE","json":"https://pith.science/pith/4LCBADRKKCOIQMGSQGZRMRJZFE.json","graph_json":"https://pith.science/api/pith-number/4LCBADRKKCOIQMGSQGZRMRJZFE/graph.json","events_json":"https://pith.science/api/pith-number/4LCBADRKKCOIQMGSQGZRMRJZFE/events.json","paper":"https://pith.science/paper/4LCBADRK"},"agent_actions":{"view_html":"https://pith.science/pith/4LCBADRKKCOIQMGSQGZRMRJZFE","download_json":"https://pith.science/pith/4LCBADRKKCOIQMGSQGZRMRJZFE.json","view_paper":"https://pith.science/paper/4LCBADRK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1401.2435&json=true","fetch_graph":"https://pith.science/api/pith-number/4LCBADRKKCOIQMGSQGZRMRJZFE/graph.json","fetch_events":"https://pith.science/api/pith-number/4LCBADRKKCOIQMGSQGZRMRJZFE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4LCBADRKKCOIQMGSQGZRMRJZFE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4LCBADRKKCOIQMGSQGZRMRJZFE/action/storage_attestation","attest_author":"https://pith.science/pith/4LCBADRKKCOIQMGSQGZRMRJZFE/action/author_attestation","sign_citation":"https://pith.science/pith/4LCBADRKKCOIQMGSQGZRMRJZFE/action/citation_signature","submit_replication":"https://pith.science/pith/4LCBADRKKCOIQMGSQGZRMRJZFE/action/replication_record"}},"created_at":"2026-05-18T01:45:26.620525+00:00","updated_at":"2026-05-18T01:45:26.620525+00:00"}