{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:CDI2EWPU6WWVT5AOIJM2IVNLXD","short_pith_number":"pith:CDI2EWPU","schema_version":"1.0","canonical_sha256":"10d1a259f4f5ad59f40e4259a455abb8cb5fa6eb3c01ceba56050a2742195810","source":{"kind":"arxiv","id":"1604.00731","version":1},"attestation_state":"computed","paper":{"title":"Accurate and Efficient Solution of the Electronic Schr\\\"odinger Equation with the Coulomb Singularity by the Distributed Approximating Functional Method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.chem-ph"],"primary_cat":"physics.comp-ph","authors_text":"Zhigang Sun","submitted_at":"2016-04-04T03:32:28Z","abstract_excerpt":"We proposed a distributed approximating functional method for efficiently describing the electronic dynamics in atoms and molecules in the presence of the Coulomb singularities, using the kernel of a grid representation derived by using the solutions of the Coulomb differential equation based upon the Schwartz's interpolation formula, and a grid representation using the Lobatto/Radau shape functions. The elements of the resulted Hamiltonian matrix are confined in a narrow diagonal band, which is similar to that using the (higher order) finite difference methods. However, the spectral convergen"},"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":"1604.00731","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2016-04-04T03:32:28Z","cross_cats_sorted":["physics.chem-ph"],"title_canon_sha256":"22dd11f9cf7caceccf5485b8ffa9d5591969cc707a76cb317c46c3b77bdf8ec0","abstract_canon_sha256":"eade883250ebdfbe5b3ade8879b2d63bb1267a437d09265d9c4f377a2c28db35"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:48.472219Z","signature_b64":"sH1bbOCp3de0EIcPxmdIlBVPLZ9+0S8E2LsR4ZzRSX9tsh+UTMc8wjTiAroM3Mw65hgpks1x/L5e+2o2Jl0OCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"10d1a259f4f5ad59f40e4259a455abb8cb5fa6eb3c01ceba56050a2742195810","last_reissued_at":"2026-05-18T01:17:48.471566Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:48.471566Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Accurate and Efficient Solution of the Electronic Schr\\\"odinger Equation with the Coulomb Singularity by the Distributed Approximating Functional Method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.chem-ph"],"primary_cat":"physics.comp-ph","authors_text":"Zhigang Sun","submitted_at":"2016-04-04T03:32:28Z","abstract_excerpt":"We proposed a distributed approximating functional method for efficiently describing the electronic dynamics in atoms and molecules in the presence of the Coulomb singularities, using the kernel of a grid representation derived by using the solutions of the Coulomb differential equation based upon the Schwartz's interpolation formula, and a grid representation using the Lobatto/Radau shape functions. The elements of the resulted Hamiltonian matrix are confined in a narrow diagonal band, which is similar to that using the (higher order) finite difference methods. However, the spectral convergen"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.00731","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":"1604.00731","created_at":"2026-05-18T01:17:48.471691+00:00"},{"alias_kind":"arxiv_version","alias_value":"1604.00731v1","created_at":"2026-05-18T01:17:48.471691+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.00731","created_at":"2026-05-18T01:17:48.471691+00:00"},{"alias_kind":"pith_short_12","alias_value":"CDI2EWPU6WWV","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_16","alias_value":"CDI2EWPU6WWVT5AO","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_8","alias_value":"CDI2EWPU","created_at":"2026-05-18T12:30:09.641336+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/CDI2EWPU6WWVT5AOIJM2IVNLXD","json":"https://pith.science/pith/CDI2EWPU6WWVT5AOIJM2IVNLXD.json","graph_json":"https://pith.science/api/pith-number/CDI2EWPU6WWVT5AOIJM2IVNLXD/graph.json","events_json":"https://pith.science/api/pith-number/CDI2EWPU6WWVT5AOIJM2IVNLXD/events.json","paper":"https://pith.science/paper/CDI2EWPU"},"agent_actions":{"view_html":"https://pith.science/pith/CDI2EWPU6WWVT5AOIJM2IVNLXD","download_json":"https://pith.science/pith/CDI2EWPU6WWVT5AOIJM2IVNLXD.json","view_paper":"https://pith.science/paper/CDI2EWPU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1604.00731&json=true","fetch_graph":"https://pith.science/api/pith-number/CDI2EWPU6WWVT5AOIJM2IVNLXD/graph.json","fetch_events":"https://pith.science/api/pith-number/CDI2EWPU6WWVT5AOIJM2IVNLXD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CDI2EWPU6WWVT5AOIJM2IVNLXD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CDI2EWPU6WWVT5AOIJM2IVNLXD/action/storage_attestation","attest_author":"https://pith.science/pith/CDI2EWPU6WWVT5AOIJM2IVNLXD/action/author_attestation","sign_citation":"https://pith.science/pith/CDI2EWPU6WWVT5AOIJM2IVNLXD/action/citation_signature","submit_replication":"https://pith.science/pith/CDI2EWPU6WWVT5AOIJM2IVNLXD/action/replication_record"}},"created_at":"2026-05-18T01:17:48.471691+00:00","updated_at":"2026-05-18T01:17:48.471691+00:00"}