{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:ESC7XCWA5ED2BVLMQJO4VCJJXJ","short_pith_number":"pith:ESC7XCWA","canonical_record":{"source":{"id":"2403.04334","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-03-07T09:00:18Z","cross_cats_sorted":["cs.NA","physics.comp-ph"],"title_canon_sha256":"871e19dc964bad19d0c25513e01de3c80502046d2641baecced994010f1b1d74","abstract_canon_sha256":"57754c179760ed1a81ded25ac5ac70714e9b0cba339c49e8dba0d298beaea573"},"schema_version":"1.0"},"canonical_sha256":"2485fb8ac0e907a0d56c825dca8929ba7a57fab706b1e61ace1dd3a61977a8d4","source":{"kind":"arxiv","id":"2403.04334","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.04334","created_at":"2026-07-05T07:53:21Z"},{"alias_kind":"arxiv_version","alias_value":"2403.04334v1","created_at":"2026-07-05T07:53:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.04334","created_at":"2026-07-05T07:53:21Z"},{"alias_kind":"pith_short_12","alias_value":"ESC7XCWA5ED2","created_at":"2026-07-05T07:53:21Z"},{"alias_kind":"pith_short_16","alias_value":"ESC7XCWA5ED2BVLM","created_at":"2026-07-05T07:53:21Z"},{"alias_kind":"pith_short_8","alias_value":"ESC7XCWA","created_at":"2026-07-05T07:53:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:ESC7XCWA5ED2BVLMQJO4VCJJXJ","target":"record","payload":{"canonical_record":{"source":{"id":"2403.04334","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-03-07T09:00:18Z","cross_cats_sorted":["cs.NA","physics.comp-ph"],"title_canon_sha256":"871e19dc964bad19d0c25513e01de3c80502046d2641baecced994010f1b1d74","abstract_canon_sha256":"57754c179760ed1a81ded25ac5ac70714e9b0cba339c49e8dba0d298beaea573"},"schema_version":"1.0"},"canonical_sha256":"2485fb8ac0e907a0d56c825dca8929ba7a57fab706b1e61ace1dd3a61977a8d4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:53:21.697063Z","signature_b64":"Q1bKKP8FAZEEUQ6HDgBfu40ra5xFyUBGhem+HrwnrEXsi9oW7x+F8kTOqO3VRd1ARk2+0fumkCGu4tti9Bx1DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2485fb8ac0e907a0d56c825dca8929ba7a57fab706b1e61ace1dd3a61977a8d4","last_reissued_at":"2026-07-05T07:53:21.696605Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:53:21.696605Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2403.04334","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T07:53:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"98IjOUFLhSD2cJQBIxQ76XNbGbJpXjiJ+4YEms78bdhPvPx0f7AlR0st4EDrQ/1qTjS+rorAjnKCQ+9MKLTTDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-16T03:46:15.131435Z"},"content_sha256":"664f83dd07b95e2095972cbedb3eaeac3b6c3ffbcb7797d5821aecc9e42ee1f8","schema_version":"1.0","event_id":"sha256:664f83dd07b95e2095972cbedb3eaeac3b6c3ffbcb7797d5821aecc9e42ee1f8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:ESC7XCWA5ED2BVLMQJO4VCJJXJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A High-order Nystr\\\"om-based Scheme Explicitly Enforcing Surface Density Continuity for the Electric Field Integral Equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","physics.comp-ph"],"primary_cat":"math.NA","authors_text":"Constantine Sideris, Jin Hu","submitted_at":"2024-03-07T09:00:18Z","abstract_excerpt":"This paper introduces an efficient approach for solving the Electric Field Integral Equation (EFIE) with high-order accuracy by explicitly enforcing the continuity of the impressed current densities across boundaries of the surface patch discretization. The integral operator involved is discretized via a Nystr\\\"om-collocation approach based on Chebyshev polynomial expansion within each patch and a closed quadrature rule is utilized such that the discretization points inside one patch coincide with those inside another patch on the shared boundary of those two patches. The continuity enforcemen"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.04334","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/2403.04334/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T07:53:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4xa42qRx6AaKKbcy4v4RL5T6fgsJR7Ji0Mj7wi5l4dcIiJEprnsjuNHOdyUfglIRnSf7lva4UwYKnj+Vz7a0DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-16T03:46:15.131821Z"},"content_sha256":"0ebb6ef8db95b3f2853d13342b1ddc93b60157387100cea34486202b99d3caa3","schema_version":"1.0","event_id":"sha256:0ebb6ef8db95b3f2853d13342b1ddc93b60157387100cea34486202b99d3caa3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ESC7XCWA5ED2BVLMQJO4VCJJXJ/bundle.json","state_url":"https://pith.science/pith/ESC7XCWA5ED2BVLMQJO4VCJJXJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ESC7XCWA5ED2BVLMQJO4VCJJXJ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-16T03:46:15Z","links":{"resolver":"https://pith.science/pith/ESC7XCWA5ED2BVLMQJO4VCJJXJ","bundle":"https://pith.science/pith/ESC7XCWA5ED2BVLMQJO4VCJJXJ/bundle.json","state":"https://pith.science/pith/ESC7XCWA5ED2BVLMQJO4VCJJXJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ESC7XCWA5ED2BVLMQJO4VCJJXJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:ESC7XCWA5ED2BVLMQJO4VCJJXJ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"57754c179760ed1a81ded25ac5ac70714e9b0cba339c49e8dba0d298beaea573","cross_cats_sorted":["cs.NA","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-03-07T09:00:18Z","title_canon_sha256":"871e19dc964bad19d0c25513e01de3c80502046d2641baecced994010f1b1d74"},"schema_version":"1.0","source":{"id":"2403.04334","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.04334","created_at":"2026-07-05T07:53:21Z"},{"alias_kind":"arxiv_version","alias_value":"2403.04334v1","created_at":"2026-07-05T07:53:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.04334","created_at":"2026-07-05T07:53:21Z"},{"alias_kind":"pith_short_12","alias_value":"ESC7XCWA5ED2","created_at":"2026-07-05T07:53:21Z"},{"alias_kind":"pith_short_16","alias_value":"ESC7XCWA5ED2BVLM","created_at":"2026-07-05T07:53:21Z"},{"alias_kind":"pith_short_8","alias_value":"ESC7XCWA","created_at":"2026-07-05T07:53:21Z"}],"graph_snapshots":[{"event_id":"sha256:0ebb6ef8db95b3f2853d13342b1ddc93b60157387100cea34486202b99d3caa3","target":"graph","created_at":"2026-07-05T07:53:21Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2403.04334/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper introduces an efficient approach for solving the Electric Field Integral Equation (EFIE) with high-order accuracy by explicitly enforcing the continuity of the impressed current densities across boundaries of the surface patch discretization. The integral operator involved is discretized via a Nystr\\\"om-collocation approach based on Chebyshev polynomial expansion within each patch and a closed quadrature rule is utilized such that the discretization points inside one patch coincide with those inside another patch on the shared boundary of those two patches. The continuity enforcemen","authors_text":"Constantine Sideris, Jin Hu","cross_cats":["cs.NA","physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-03-07T09:00:18Z","title":"A High-order Nystr\\\"om-based Scheme Explicitly Enforcing Surface Density Continuity for the Electric Field Integral Equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.04334","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:664f83dd07b95e2095972cbedb3eaeac3b6c3ffbcb7797d5821aecc9e42ee1f8","target":"record","created_at":"2026-07-05T07:53:21Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"57754c179760ed1a81ded25ac5ac70714e9b0cba339c49e8dba0d298beaea573","cross_cats_sorted":["cs.NA","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-03-07T09:00:18Z","title_canon_sha256":"871e19dc964bad19d0c25513e01de3c80502046d2641baecced994010f1b1d74"},"schema_version":"1.0","source":{"id":"2403.04334","kind":"arxiv","version":1}},"canonical_sha256":"2485fb8ac0e907a0d56c825dca8929ba7a57fab706b1e61ace1dd3a61977a8d4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2485fb8ac0e907a0d56c825dca8929ba7a57fab706b1e61ace1dd3a61977a8d4","first_computed_at":"2026-07-05T07:53:21.696605Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:53:21.696605Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Q1bKKP8FAZEEUQ6HDgBfu40ra5xFyUBGhem+HrwnrEXsi9oW7x+F8kTOqO3VRd1ARk2+0fumkCGu4tti9Bx1DA==","signature_status":"signed_v1","signed_at":"2026-07-05T07:53:21.697063Z","signed_message":"canonical_sha256_bytes"},"source_id":"2403.04334","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:664f83dd07b95e2095972cbedb3eaeac3b6c3ffbcb7797d5821aecc9e42ee1f8","sha256:0ebb6ef8db95b3f2853d13342b1ddc93b60157387100cea34486202b99d3caa3"],"state_sha256":"1827be6fb2af2f0fa8812e0ea81238c702a3d1ca1f46141a7f02fc5c91a03a7d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6nyC7oV1MLCj8JnNo2H3s06FdUV+A7ZyTWTowOMtHa1030Bd943+YJuZbU7sq3OhMGZLAejC+ko1tqh7IIf/DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-16T03:46:15.134033Z","bundle_sha256":"cda48489554e85176f6e0406d49cd46f32f27e7c098767f593cab4a3ee60feb6"}}