{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:AJTJBXW3GSARCQWPDZWHG6ESFN","short_pith_number":"pith:AJTJBXW3","schema_version":"1.0","canonical_sha256":"026690dedb34811142cf1e6c7378922b693ff96c0783fc23a129fb785ad92ee1","source":{"kind":"arxiv","id":"0806.3067","version":1},"attestation_state":"computed","paper":{"title":"A B-spline Galerkin method for the Dirac equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.atom-ph","authors_text":"Charlotte Froese Fischer, Oleg Zatsarinny","submitted_at":"2008-06-18T19:00:15Z","abstract_excerpt":"The B-spline Galerkin method is investigated for the simple eigenvalue problem, $y^{\\prime\\prime} = -\\lambda^2 y$. Special attention is give to boundary conditions. From this analysis, we propose a stable method for the Dirac equation and evaluate its accuracy by comparing the computed and exact R-matrix for a wide range of nuclear charges $Z$ and angular quantum numbers $\\kappa$. No spurious solutions were found and excellent agreement was obtained for the R-matrix."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"0806.3067","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2008-06-18T19:00:15Z","cross_cats_sorted":[],"title_canon_sha256":"ed97beeea0878c0f9add896a1763a07e1869ae50ef737b042161cd5e01a11c42","abstract_canon_sha256":"bd6a97281a58acc11fca2bccebbefb814d62dd4074c077debbeb852764ef8ef3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:15:51.383067Z","signature_b64":"nyGkEg3NY5woo1NmG8RFyg1HdbJVAaEJFc3F2VdLnfA2SuUmPmerNFNysHeUE2x9OT/zBAlrOfNJePy8vbgiCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"026690dedb34811142cf1e6c7378922b693ff96c0783fc23a129fb785ad92ee1","last_reissued_at":"2026-05-18T02:15:51.382505Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:15:51.382505Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A B-spline Galerkin method for the Dirac equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.atom-ph","authors_text":"Charlotte Froese Fischer, Oleg Zatsarinny","submitted_at":"2008-06-18T19:00:15Z","abstract_excerpt":"The B-spline Galerkin method is investigated for the simple eigenvalue problem, $y^{\\prime\\prime} = -\\lambda^2 y$. Special attention is give to boundary conditions. From this analysis, we propose a stable method for the Dirac equation and evaluate its accuracy by comparing the computed and exact R-matrix for a wide range of nuclear charges $Z$ and angular quantum numbers $\\kappa$. No spurious solutions were found and excellent agreement was obtained for the R-matrix."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0806.3067","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"0806.3067","created_at":"2026-05-18T02:15:51.382608+00:00"},{"alias_kind":"arxiv_version","alias_value":"0806.3067v1","created_at":"2026-05-18T02:15:51.382608+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0806.3067","created_at":"2026-05-18T02:15:51.382608+00:00"},{"alias_kind":"pith_short_12","alias_value":"AJTJBXW3GSAR","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_16","alias_value":"AJTJBXW3GSARCQWP","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_8","alias_value":"AJTJBXW3","created_at":"2026-05-18T12:25:56.245647+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/AJTJBXW3GSARCQWPDZWHG6ESFN","json":"https://pith.science/pith/AJTJBXW3GSARCQWPDZWHG6ESFN.json","graph_json":"https://pith.science/api/pith-number/AJTJBXW3GSARCQWPDZWHG6ESFN/graph.json","events_json":"https://pith.science/api/pith-number/AJTJBXW3GSARCQWPDZWHG6ESFN/events.json","paper":"https://pith.science/paper/AJTJBXW3"},"agent_actions":{"view_html":"https://pith.science/pith/AJTJBXW3GSARCQWPDZWHG6ESFN","download_json":"https://pith.science/pith/AJTJBXW3GSARCQWPDZWHG6ESFN.json","view_paper":"https://pith.science/paper/AJTJBXW3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0806.3067&json=true","fetch_graph":"https://pith.science/api/pith-number/AJTJBXW3GSARCQWPDZWHG6ESFN/graph.json","fetch_events":"https://pith.science/api/pith-number/AJTJBXW3GSARCQWPDZWHG6ESFN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AJTJBXW3GSARCQWPDZWHG6ESFN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AJTJBXW3GSARCQWPDZWHG6ESFN/action/storage_attestation","attest_author":"https://pith.science/pith/AJTJBXW3GSARCQWPDZWHG6ESFN/action/author_attestation","sign_citation":"https://pith.science/pith/AJTJBXW3GSARCQWPDZWHG6ESFN/action/citation_signature","submit_replication":"https://pith.science/pith/AJTJBXW3GSARCQWPDZWHG6ESFN/action/replication_record"}},"created_at":"2026-05-18T02:15:51.382608+00:00","updated_at":"2026-05-18T02:15:51.382608+00:00"}