{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:JFHXYOXYY7XMIQNCUVV33FA5TF","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":"2ef4ad71ec8044771484e3b84d9c8cfdf466f6e6b7ec9db6027177a11d92931e","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-11-14T23:15:28Z","title_canon_sha256":"6084830328fe2e6cd94be1d3e664e9ea1914fe1ecacd9a30cb00d3d1a8c93579"},"schema_version":"1.0","source":{"id":"1711.05354","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.05354","created_at":"2026-06-04T19:11:14Z"},{"alias_kind":"arxiv_version","alias_value":"1711.05354v3","created_at":"2026-06-04T19:11:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.05354","created_at":"2026-06-04T19:11:14Z"},{"alias_kind":"pith_short_12","alias_value":"JFHXYOXYY7XM","created_at":"2026-06-04T19:11:14Z"},{"alias_kind":"pith_short_16","alias_value":"JFHXYOXYY7XMIQNC","created_at":"2026-06-04T19:11:14Z"},{"alias_kind":"pith_short_8","alias_value":"JFHXYOXY","created_at":"2026-06-04T19:11:14Z"}],"graph_snapshots":[{"event_id":"sha256:3c1db12d0bf13085991d0a9347243ac006e1757f54f8aeb78967ebd531f9519b","target":"graph","created_at":"2026-06-04T19:11:14Z","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/1711.05354/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper introduces a fast and numerically stable algorithm for the solution of fourth-order linear boundary value problems on an interval. This type of equation arises in a variety of settings in physics and signal processing. Our method reformulates the equation as a collection of second-kind integral equations defined on local subdomains. Each such equation can be stably discretized and solved. The boundary values of these local solutions are matched by solving a banded linear system. The method of deferred corrections is then used to increase the accuracy of the scheme. Deferred correcti","authors_text":"Vladimir Rokhlin, William Leeb","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-11-14T23:15:28Z","title":"On the Numerical Solution of Fourth-Order Linear Two-Point Boundary Value Problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.05354","kind":"arxiv","version":3},"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":"sha256:6ad7ee104b13c43bffe2b3c16cd48e351e685cf01ea1e4fd93d0c6300de048d1","target":"record","created_at":"2026-06-04T19:11:14Z","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":"2ef4ad71ec8044771484e3b84d9c8cfdf466f6e6b7ec9db6027177a11d92931e","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-11-14T23:15:28Z","title_canon_sha256":"6084830328fe2e6cd94be1d3e664e9ea1914fe1ecacd9a30cb00d3d1a8c93579"},"schema_version":"1.0","source":{"id":"1711.05354","kind":"arxiv","version":3}},"canonical_sha256":"494f7c3af8c7eec441a2a56bbd941d99479919cc9c8aaff4f3fa112277353036","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"494f7c3af8c7eec441a2a56bbd941d99479919cc9c8aaff4f3fa112277353036","first_computed_at":"2026-06-04T19:11:14.719254Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-04T19:11:14.719254Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jAvGOV0lZGMBymNPNIrswmkgIEvl5TMYPdiwQaFQiFGdKf793Ehamn1lZf+ktENW7Hwk+KCqXZnn2uGRbvN1DQ==","signature_status":"signed_v1","signed_at":"2026-06-04T19:11:14.719685Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.05354","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6ad7ee104b13c43bffe2b3c16cd48e351e685cf01ea1e4fd93d0c6300de048d1","sha256:3c1db12d0bf13085991d0a9347243ac006e1757f54f8aeb78967ebd531f9519b"],"state_sha256":"2db6857e75de9d6bd5e21e30da1dd26636b2a6c4e4f9fb05ee5f61e52ccd8006"}