{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:3CWU4CL6GLP64R7H23P4WLKZXS","short_pith_number":"pith:3CWU4CL6","schema_version":"1.0","canonical_sha256":"d8ad4e097e32dfee47e7d6dfcb2d59bc9389faf92c5ef0812d6db6ddc11aaa5b","source":{"kind":"arxiv","id":"2605.21450","version":1},"attestation_state":"computed","paper":{"title":"Composite B-Spline Current Deposition and Interpolation Operators for Thin-Wire Finite-Difference Time-Domain Simulations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Boyce E. Griffith, Cole Gruninger","submitted_at":"2026-05-20T17:40:32Z","abstract_excerpt":"Holland-Simpson thin-wire finite-difference time-domain (FDTD) simulations of obliquely oriented closed-loop antennas exhibit persistent low-frequency parasitic currents because the current-deposition operator fails to conserve charge. Together with an interpolation operator that samples the tangential electric field along the wire, this deposition operator can be realized as a regularization of distributions against a regularized delta function supported on the wire. We show that charge conservation requires the deposited current to be discretely divergence-free when the wire carries a consta"},"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":"2605.21450","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-05-20T17:40:32Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"c671029ee25b7b5f13e6a2883799b23080e056ad0f34ac5dfd42cbc02bc397c9","abstract_canon_sha256":"494afc2ddd8f01e6f6a137b326967e6e704c4e1a2d8cf443c401e1650b8a0c69"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-21T02:05:37.737904Z","signature_b64":"qtS0E5zpc/7wLbRZWodgGl/gMimfCzb75xiBExqYz53LV0CDLw/rvOinLNInVCcOPxV+KpoUX8/u8JudbAE8Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d8ad4e097e32dfee47e7d6dfcb2d59bc9389faf92c5ef0812d6db6ddc11aaa5b","last_reissued_at":"2026-05-21T02:05:37.737066Z","signature_status":"signed_v1","first_computed_at":"2026-05-21T02:05:37.737066Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Composite B-Spline Current Deposition and Interpolation Operators for Thin-Wire Finite-Difference Time-Domain Simulations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Boyce E. Griffith, Cole Gruninger","submitted_at":"2026-05-20T17:40:32Z","abstract_excerpt":"Holland-Simpson thin-wire finite-difference time-domain (FDTD) simulations of obliquely oriented closed-loop antennas exhibit persistent low-frequency parasitic currents because the current-deposition operator fails to conserve charge. Together with an interpolation operator that samples the tangential electric field along the wire, this deposition operator can be realized as a regularization of distributions against a regularized delta function supported on the wire. We show that charge conservation requires the deposited current to be discretely divergence-free when the wire carries a consta"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.21450","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.21450/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2605.21450","created_at":"2026-05-21T02:05:37.737239+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.21450v1","created_at":"2026-05-21T02:05:37.737239+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.21450","created_at":"2026-05-21T02:05:37.737239+00:00"},{"alias_kind":"pith_short_12","alias_value":"3CWU4CL6GLP6","created_at":"2026-05-21T02:05:37.737239+00:00"},{"alias_kind":"pith_short_16","alias_value":"3CWU4CL6GLP64R7H","created_at":"2026-05-21T02:05:37.737239+00:00"},{"alias_kind":"pith_short_8","alias_value":"3CWU4CL6","created_at":"2026-05-21T02:05:37.737239+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/3CWU4CL6GLP64R7H23P4WLKZXS","json":"https://pith.science/pith/3CWU4CL6GLP64R7H23P4WLKZXS.json","graph_json":"https://pith.science/api/pith-number/3CWU4CL6GLP64R7H23P4WLKZXS/graph.json","events_json":"https://pith.science/api/pith-number/3CWU4CL6GLP64R7H23P4WLKZXS/events.json","paper":"https://pith.science/paper/3CWU4CL6"},"agent_actions":{"view_html":"https://pith.science/pith/3CWU4CL6GLP64R7H23P4WLKZXS","download_json":"https://pith.science/pith/3CWU4CL6GLP64R7H23P4WLKZXS.json","view_paper":"https://pith.science/paper/3CWU4CL6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.21450&json=true","fetch_graph":"https://pith.science/api/pith-number/3CWU4CL6GLP64R7H23P4WLKZXS/graph.json","fetch_events":"https://pith.science/api/pith-number/3CWU4CL6GLP64R7H23P4WLKZXS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3CWU4CL6GLP64R7H23P4WLKZXS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3CWU4CL6GLP64R7H23P4WLKZXS/action/storage_attestation","attest_author":"https://pith.science/pith/3CWU4CL6GLP64R7H23P4WLKZXS/action/author_attestation","sign_citation":"https://pith.science/pith/3CWU4CL6GLP64R7H23P4WLKZXS/action/citation_signature","submit_replication":"https://pith.science/pith/3CWU4CL6GLP64R7H23P4WLKZXS/action/replication_record"}},"created_at":"2026-05-21T02:05:37.737239+00:00","updated_at":"2026-05-21T02:05:37.737239+00:00"}