{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:KTULLFJ7AUBD2T63SXLZP3TCA6","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":"98ba875d0250a8a668bcf867799348f7501574b8fbfb117aa6d277703e6ef3cb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-10-23T10:15:56Z","title_canon_sha256":"b91eee2b7d62894072fc84b3457ae4c1aa14d9adf57f06dabce9c0994f5c9875"},"schema_version":"1.0","source":{"id":"1310.6170","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.6170","created_at":"2026-05-18T02:18:51Z"},{"alias_kind":"arxiv_version","alias_value":"1310.6170v1","created_at":"2026-05-18T02:18:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.6170","created_at":"2026-05-18T02:18:51Z"},{"alias_kind":"pith_short_12","alias_value":"KTULLFJ7AUBD","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"KTULLFJ7AUBD2T63","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"KTULLFJ7","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:6cfaccc5a9dac4d4e2d9381c6d9d55b47a6c04f8a3c637fbf76a3cb3eb60ca6f","target":"graph","created_at":"2026-05-18T02:18:51Z","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"},"paper":{"abstract_excerpt":"The authors consider the interior Dirichlet problem for Laplace's equation on planar domains with corners. In order to approximate the solution of the corresponding double layer boundary integral equation, they propose a numerical method of Nystrom type, based on a Lobatto quadrature rule.The convergence and stability of the method are proved and some numerical tests are included.","authors_text":"Concetta Laurita, Luisa Fermo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-10-23T10:15:56Z","title":"A Nystrom method for a boundary integral equation related to the Dirichlet problem on domains with corners"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.6170","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":"sha256:1bdc08b14e897d74d2144c30ac2240f713a990a7023a93d1655325e5a32cd6c5","target":"record","created_at":"2026-05-18T02:18:51Z","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":"98ba875d0250a8a668bcf867799348f7501574b8fbfb117aa6d277703e6ef3cb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-10-23T10:15:56Z","title_canon_sha256":"b91eee2b7d62894072fc84b3457ae4c1aa14d9adf57f06dabce9c0994f5c9875"},"schema_version":"1.0","source":{"id":"1310.6170","kind":"arxiv","version":1}},"canonical_sha256":"54e8b5953f05023d4fdb95d797ee62078770fe7ef5ebbb227a7eb19eef9f081a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"54e8b5953f05023d4fdb95d797ee62078770fe7ef5ebbb227a7eb19eef9f081a","first_computed_at":"2026-05-18T02:18:51.993636Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:18:51.993636Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6tVa3kmhTqeVwqe3PMr3YqsG14kVg3+QNCoOQhvXuhI7QLQp68/e5Jm+lTPeeesg5UPPs5YvwyG2Xqm2cAWSBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:18:51.994232Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.6170","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1bdc08b14e897d74d2144c30ac2240f713a990a7023a93d1655325e5a32cd6c5","sha256:6cfaccc5a9dac4d4e2d9381c6d9d55b47a6c04f8a3c637fbf76a3cb3eb60ca6f"],"state_sha256":"34574769a3d626daa3903219b7fc26f9caf17f850db98788db1a53c330d224ee"}