{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:PUUDPGYISM5DF2DPCPGPYK3UU2","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":"37dfd72da7078e234428ed08ca7c8883aed16e1cccd0d0147728ba5e82ecfebd","cross_cats_sorted":["cs.NA","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-05-15T01:51:11Z","title_canon_sha256":"af1a9a065a3a3c9cf5f123c03f4077ee3ea226beb5c261f3b40c4b1bb19d1ecf"},"schema_version":"1.0","source":{"id":"2605.15527","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.15527","created_at":"2026-05-20T00:01:03Z"},{"alias_kind":"arxiv_version","alias_value":"2605.15527v1","created_at":"2026-05-20T00:01:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.15527","created_at":"2026-05-20T00:01:03Z"},{"alias_kind":"pith_short_12","alias_value":"PUUDPGYISM5D","created_at":"2026-05-20T00:01:03Z"},{"alias_kind":"pith_short_16","alias_value":"PUUDPGYISM5DF2DP","created_at":"2026-05-20T00:01:03Z"},{"alias_kind":"pith_short_8","alias_value":"PUUDPGYI","created_at":"2026-05-20T00:01:03Z"}],"graph_snapshots":[{"event_id":"sha256:f922e5dcdd3ffbff2c5b24830d58b65f66cabf327272993277134fa3916de809","target":"graph","created_at":"2026-05-20T00:01:03Z","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":4,"items":[{"attestation":"unclaimed","claim_id":"C1","kind":"strongest_claim","source":"verdict.strongest_claim","status":"machine_extracted","text":"The scheme is verified with known solutions and exhibits exponential convergence close to 10^{-14} for both single and multiple interfaces. An example with 39 interfaces is presented to demonstrate the solver's performance."},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"The distant interactions can be accurately approximated by a finite number of proxy source points placed on spheres surrounding the unit cell without introducing significant truncation or approximation errors that would degrade the overall convergence or accuracy for large numbers of layers."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"A periodized Method of Fundamental Solutions is introduced for Maxwell's equations in bi-periodic multilayered media, achieving exponential convergence to near machine precision."},{"attestation":"unclaimed","claim_id":"C4","kind":"headline","source":"verdict.pith_extraction.headline","status":"machine_extracted","text":"A periodization scheme using proxy sources on spheres makes the Method of Fundamental Solutions accurate for Maxwell's equations in bi-periodic multilayered media."}],"snapshot_sha256":"106a4e1e215cf258fc9da67103722eaff9f888234dd3baf49a096c476d999140"},"formal_canon":{"evidence_count":2,"snapshot_sha256":"52a458098647833fe93607aaeaddacdb33848978e598a90ad9aa79df7165bc96"},"integrity":{"available":true,"clean":true,"detectors_run":[{"findings_count":0,"name":"doi_title_agreement","ran_at":"2026-05-19T15:01:17.533187Z","status":"completed","version":"1.0.0"},{"findings_count":0,"name":"doi_compliance","ran_at":"2026-05-19T14:49:57.609493Z","status":"completed","version":"1.0.0"},{"findings_count":0,"name":"cited_work_retraction","ran_at":"2026-05-19T14:22:02.521242Z","status":"completed","version":"1.0.0"},{"findings_count":0,"name":"claim_evidence","ran_at":"2026-05-19T14:21:54.040946Z","status":"completed","version":"1.0.0"},{"findings_count":0,"name":"shingle_duplication","ran_at":"2026-05-19T13:49:41.838139Z","status":"skipped","version":"0.1.0"},{"findings_count":0,"name":"citation_quote_validity","ran_at":"2026-05-19T13:49:41.375624Z","status":"skipped","version":"0.1.0"},{"findings_count":0,"name":"ai_meta_artifact","ran_at":"2026-05-19T13:33:22.623737Z","status":"skipped","version":"1.0.0"}],"endpoint":"/pith/2605.15527/integrity.json","findings":[],"snapshot_sha256":"b957e0f6f10e9243ea68d476c7f2763f7157ae06f8bbe9df829013d8e3621fea","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we present an accurate numerical method for the time-harmonic Maxwell's equations for bi-periodic multilayered media with quasi-periodic incident waves using the Method of Fundamental Solutions in conjunction with a periodization scheme. Following an approach used in acoustic scattering problems, the electric and magnetic fields in each layer are expressed as a sum of near and distant interactions. The near interaction comprises interactions between the unit cell and its nearest neighboring copies, while the distant interaction is approximated by proxy source points placed on sp","authors_text":"Bowei Wu, Jared Weed, Jingfang Huang, Min Hyung Cho","cross_cats":["cs.NA","physics.comp-ph"],"headline":"A periodization scheme using proxy sources on spheres makes the Method of Fundamental Solutions accurate for Maxwell's equations in bi-periodic multilayered media.","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-05-15T01:51:11Z","title":"Method of Fundamental Solutions for Maxwell's Equations in Bi-Periodic Multilayered Media"},"references":{"count":36,"internal_anchors":0,"resolved_work":36,"sample":[{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":1,"title":"B. T. DeBoi, A. N. Lemmon, B. McPherson, B. Passmore, Improved methodology for parasitic analysis of high-performance silicon carbide power modules, IEEE Transactions on Power Electronics 37 (10) (202","work_id":"653fb34e-2dd7-46a0-807a-b0c2b9e6c523","year":2022},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":2,"title":"B. Kim, H. Jeon, D. Park, G. Kim, N.-H. Cho, J. Khim, Emi shielding leadless package solution for automotive, Journal of Advanced Joining Processes 5 (2022) 100102. 19","work_id":"34a02ee3-d979-43d3-9cbc-6e357e300e94","year":2022},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":3,"title":"H. A. Atwater, A. Polman, Plasmonics for improved photovoltaic devices, Materials for sustainable energy: a collection of peer-reviewed research and review articles from Nature Publishing Group (2011)","work_id":"921c52db-eeba-4a5e-9df2-2ec16192da08","year":2011},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":4,"title":"M. D. Kelzenberg, S. W. Boettcher, J. A. Petykiewicz, D. B. Turner-Evans, M. C. Putnam, E. L. Warren, J. M. Spurgeon, R. M. Briggs, N. S. Lewis, H. A. Atwater, Enhanced absorp- tion and carrier collec","work_id":"31503f4f-0ce6-48dc-9cf0-a424a632ab55","year":2010},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":5,"title":"M. Perry, R. Boyd, J. Britten, D. Decker, B. Shore, C. Shannon, E. Shults, High-efficiency multilayer dielectric diffraction gratings, Optics letters 20 (8) (1995) 940–942","work_id":"74ee105a-d3e9-459a-9bf9-c35d2dd0f645","year":1995}],"snapshot_sha256":"0729fcfa1ad14f4b6b2f5784937dfe47aef157cbc681bed3ca43b16e8904f978"},"source":{"id":"2605.15527","kind":"arxiv","version":1},"verdict":{"created_at":"2026-05-19T14:37:08.846865Z","id":"dc7f3352-f286-4a0b-8396-245b35e6e580","model_set":{"reader":"grok-4.3"},"one_line_summary":"A periodized Method of Fundamental Solutions is introduced for Maxwell's equations in bi-periodic multilayered media, achieving exponential convergence to near machine precision.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"A periodization scheme using proxy sources on spheres makes the Method of Fundamental Solutions accurate for Maxwell's equations in bi-periodic multilayered media.","strongest_claim":"The scheme is verified with known solutions and exhibits exponential convergence close to 10^{-14} for both single and multiple interfaces. An example with 39 interfaces is presented to demonstrate the solver's performance.","weakest_assumption":"The distant interactions can be accurately approximated by a finite number of proxy source points placed on spheres surrounding the unit cell without introducing significant truncation or approximation errors that would degrade the overall convergence or accuracy for large numbers of layers."}},"verdict_id":"dc7f3352-f286-4a0b-8396-245b35e6e580"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:c194d9aea0212b6f3bd6b399312c86f489866c0cd8427cc4fa397f40195b0a9d","target":"record","created_at":"2026-05-20T00:01:03Z","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":"37dfd72da7078e234428ed08ca7c8883aed16e1cccd0d0147728ba5e82ecfebd","cross_cats_sorted":["cs.NA","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-05-15T01:51:11Z","title_canon_sha256":"af1a9a065a3a3c9cf5f123c03f4077ee3ea226beb5c261f3b40c4b1bb19d1ecf"},"schema_version":"1.0","source":{"id":"2605.15527","kind":"arxiv","version":1}},"canonical_sha256":"7d28379b08933a32e86f13ccfc2b74a6913f60c7525e602a8323aa664c1ff26a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7d28379b08933a32e86f13ccfc2b74a6913f60c7525e602a8323aa664c1ff26a","first_computed_at":"2026-05-20T00:01:03.496272Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:01:03.496272Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VwFcU6PIuG92EsZ1IUcuX9gY1qT/Y6WmTlM48RhcasiEEVyfG5IgYDKjlWEMvNJqOfVtqA5oWsTb2JasJ//lBg==","signature_status":"signed_v1","signed_at":"2026-05-20T00:01:03.497414Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.15527","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c194d9aea0212b6f3bd6b399312c86f489866c0cd8427cc4fa397f40195b0a9d","sha256:f922e5dcdd3ffbff2c5b24830d58b65f66cabf327272993277134fa3916de809"],"state_sha256":"e8640104f49fba6a4f8a985348edd7168d272c01421d832a98ef36d80a923d97"}