{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:POMJWFUICH7BWBMVFHGRF6JUQP","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":"d30e3955f91d0b9531ebbdc760511f4272fe8dd5888e482df3d5885e6a05539a","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-08-30T22:35:00Z","title_canon_sha256":"f055f28aeed777635ad830877dd37ec273400ca1d7f0dbe825a66ff118e11fcb"},"schema_version":"1.0","source":{"id":"1808.10539","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.10539","created_at":"2026-06-04T20:13:17Z"},{"alias_kind":"arxiv_version","alias_value":"1808.10539v2","created_at":"2026-06-04T20:13:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.10539","created_at":"2026-06-04T20:13:17Z"},{"alias_kind":"pith_short_12","alias_value":"POMJWFUICH7B","created_at":"2026-06-04T20:13:17Z"},{"alias_kind":"pith_short_16","alias_value":"POMJWFUICH7BWBMV","created_at":"2026-06-04T20:13:17Z"},{"alias_kind":"pith_short_8","alias_value":"POMJWFUI","created_at":"2026-06-04T20:13:17Z"}],"graph_snapshots":[{"event_id":"sha256:c3dd628c554cc6df657eae39b1985015f6d60a8170de32d2a6b8d56ae274a4c3","target":"graph","created_at":"2026-06-04T20:13:17Z","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/1808.10539/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the simulation of electromagnetic scattering by single and multiple isotropic homogeneous dielectric particles using boundary integral equations. Galerkin discretizations of the classical Poggio-Miller-Chang-Harrington-Wu-Tsai (PMCHWT) boundary integral equation formulation provide accurate solutions for complex particle geometries, but are well-known to lead to ill-conditioned linear systems. In this paper we carry out an experimental investigation into the performance of Calder\\'on preconditioning techniques for single and multiple absorbing obstacles, which involve a squaring of","authors_text":"Anthony J. Baran, Antigoni Kleanthous, David P. Hewett, Matthew W. Scroggs, Timo Betcke","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-08-30T22:35:00Z","title":"Calder\\'on preconditioning of PMCHWT boundary integral equations for scattering by multiple absorbing dielectric particles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.10539","kind":"arxiv","version":2},"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":"sha256:5562229a5c77c16b70fce8c316f9a04cbd530d9b4bbc1d0e7b7c23b748907d8b","target":"record","created_at":"2026-06-04T20:13:17Z","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":"d30e3955f91d0b9531ebbdc760511f4272fe8dd5888e482df3d5885e6a05539a","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-08-30T22:35:00Z","title_canon_sha256":"f055f28aeed777635ad830877dd37ec273400ca1d7f0dbe825a66ff118e11fcb"},"schema_version":"1.0","source":{"id":"1808.10539","kind":"arxiv","version":2}},"canonical_sha256":"7b989b168811fe1b059529cd12f93483e158ca3cc767013535f0a7c6e2758b2a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7b989b168811fe1b059529cd12f93483e158ca3cc767013535f0a7c6e2758b2a","first_computed_at":"2026-06-04T20:13:17.154558Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-04T20:13:17.154558Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Gdjvuby6oQvXV5pPTeiyR3R0RYwxziclhO0ffIyhyxyilWIPFpTioFmAL7dNGKkEoGcgtjnfn4yh8/KdwykUAg==","signature_status":"signed_v1","signed_at":"2026-06-04T20:13:17.155054Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.10539","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5562229a5c77c16b70fce8c316f9a04cbd530d9b4bbc1d0e7b7c23b748907d8b","sha256:c3dd628c554cc6df657eae39b1985015f6d60a8170de32d2a6b8d56ae274a4c3"],"state_sha256":"f3b1e77b23d5b3bcae3dc7a68d984c31b82412715de58167ef19cfddf2b1e1df"}