{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:G26NSWDZBNVIME3OEXSGYHAYE4","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":"14493f933149d9e3975a19ee9d3a1b545fe85a3d94a3bff6767831fd51f9ba6e","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-01-14T19:40:40Z","title_canon_sha256":"0014b8a3581c75bfee36b296b415842e8ef4c946221b9753d1b2f2025ff029b3"},"schema_version":"1.0","source":{"id":"1901.04533","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.04533","created_at":"2026-07-05T09:35:04Z"},{"alias_kind":"arxiv_version","alias_value":"1901.04533v3","created_at":"2026-07-05T09:35:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.04533","created_at":"2026-07-05T09:35:04Z"},{"alias_kind":"pith_short_12","alias_value":"G26NSWDZBNVI","created_at":"2026-07-05T09:35:04Z"},{"alias_kind":"pith_short_16","alias_value":"G26NSWDZBNVIME3O","created_at":"2026-07-05T09:35:04Z"},{"alias_kind":"pith_short_8","alias_value":"G26NSWDZ","created_at":"2026-07-05T09:35:04Z"}],"graph_snapshots":[{"event_id":"sha256:fba45b286f4cab422ce4b5725d10e854a6b59b4d6d1f0086737ba3e3f6af91b6","target":"graph","created_at":"2026-07-05T09:35:04Z","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/1901.04533/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"An operator analogue of the FEAST matrix eigensolver is developed to compute the discrete part of the spectrum of a differential operator in a region of interest in the complex plane. Unbounded search regions are handled with a novel rational filter for the right half-plane. If the differential operator is normal or self-adjoint, then the operator analogue preserves that structure and robustly computes eigenvalues to near machine precision accuracy. The algorithm is particularly adept at computing high-frequency modes of differential operators that possess self-adjoint structure with respect t","authors_text":"Alex Townsend, Andrew Horning","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-01-14T19:40:40Z","title":"FEAST for differential eigenvalue problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.04533","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:b386da43677c15ec16bd931a788abc3261e74990fd22758b1558b63ca7c12207","target":"record","created_at":"2026-07-05T09:35:04Z","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":"14493f933149d9e3975a19ee9d3a1b545fe85a3d94a3bff6767831fd51f9ba6e","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-01-14T19:40:40Z","title_canon_sha256":"0014b8a3581c75bfee36b296b415842e8ef4c946221b9753d1b2f2025ff029b3"},"schema_version":"1.0","source":{"id":"1901.04533","kind":"arxiv","version":3}},"canonical_sha256":"36bcd958790b6a86136e25e46c1c182702a3e3044d1bc35068b0cb3967eac1fa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"36bcd958790b6a86136e25e46c1c182702a3e3044d1bc35068b0cb3967eac1fa","first_computed_at":"2026-07-05T09:35:04.216736Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:35:04.216736Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"31VCetvNJEuF9quhpK9JKFZtmV2y04d1RmduynD3dYxcd8s4CZSuZ4T5gRtjhDUExvHX21RThPFGHo48lzDmDA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:35:04.217159Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.04533","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b386da43677c15ec16bd931a788abc3261e74990fd22758b1558b63ca7c12207","sha256:fba45b286f4cab422ce4b5725d10e854a6b59b4d6d1f0086737ba3e3f6af91b6"],"state_sha256":"d61165f68c700a73a42e0b2135604a3cb386e85de0e9af500004a7ae6e2d88cb"}