{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:SUJA6PWEWT2CQ6Z7FIN2IN7QOV","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":"97e4a1dae810593c0620bf538887e08a481cba304bc3f4d47f38644195f2832e","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-12-09T13:39:56Z","title_canon_sha256":"c838f04aed74bd817a1a2f1de9c8228b7037bb8dd62233fc854dee86b4797797"},"schema_version":"1.0","source":{"id":"1312.2425","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.2425","created_at":"2026-06-04T14:09:19Z"},{"alias_kind":"arxiv_version","alias_value":"1312.2425v1","created_at":"2026-06-04T14:09:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.2425","created_at":"2026-06-04T14:09:19Z"},{"alias_kind":"pith_short_12","alias_value":"SUJA6PWEWT2C","created_at":"2026-06-04T14:09:19Z"},{"alias_kind":"pith_short_16","alias_value":"SUJA6PWEWT2CQ6Z7","created_at":"2026-06-04T14:09:19Z"},{"alias_kind":"pith_short_8","alias_value":"SUJA6PWE","created_at":"2026-06-04T14:09:19Z"}],"graph_snapshots":[{"event_id":"sha256:33b84a309f0b53880f919685e2d298e7d7ff1eb8ecb25e56c2fb62dd4b033428","target":"graph","created_at":"2026-06-04T14:09:19Z","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/1312.2425/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we discuss numerical approximation of the eigenvalues of the one-dimensional radial Schr\\\"{o}dinger equation posed on a semi-infinite interval. The original problem is first transformed to one defined on a finite domain by applying suitable change of the independent variable. The eigenvalue problem for the resulting differential operator is then approximated by a generalized algebraic eigenvalue problem arising after discretization of the analytical problem by the matrix method based on high order finite difference schemes. Numerical experiments illustrate the performance of the","authors_text":"Cecilia Magherini, Ewa B.Weinm\\\"uller, Lidia Aceto","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-12-09T13:39:56Z","title":"Matrix methods for radial Schr\\\"{o}dinger eigenproblems defined on a semi-infinite domain"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.2425","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":"sha256:180e90dfc2f9a4a6ec9ccfd97214867aeee121132ed95355e12f09821f3bad82","target":"record","created_at":"2026-06-04T14:09:19Z","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":"97e4a1dae810593c0620bf538887e08a481cba304bc3f4d47f38644195f2832e","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-12-09T13:39:56Z","title_canon_sha256":"c838f04aed74bd817a1a2f1de9c8228b7037bb8dd62233fc854dee86b4797797"},"schema_version":"1.0","source":{"id":"1312.2425","kind":"arxiv","version":1}},"canonical_sha256":"95120f3ec4b4f4287b3f2a1ba437f07572538512d1d3ba6bac0ce1d998691b6c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"95120f3ec4b4f4287b3f2a1ba437f07572538512d1d3ba6bac0ce1d998691b6c","first_computed_at":"2026-06-04T14:09:19.062707Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-04T14:09:19.062707Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"98pkndRg6ZxtY7toKBN/TaMiX+abhsj+enyosURSMtoxs0j/PKfc2qi1YPQ0q0pN0RranP2FH1OKwLeaZIeVAw==","signature_status":"signed_v1","signed_at":"2026-06-04T14:09:19.063241Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.2425","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:180e90dfc2f9a4a6ec9ccfd97214867aeee121132ed95355e12f09821f3bad82","sha256:33b84a309f0b53880f919685e2d298e7d7ff1eb8ecb25e56c2fb62dd4b033428"],"state_sha256":"4a132d8b3c23baeff3784946c8c7be59a6c13bee34b6ee4dbb9baa42e9dc934d"}