{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:BBQZ445VNBJDVVBXZIWMWU5LB5","short_pith_number":"pith:BBQZ445V","schema_version":"1.0","canonical_sha256":"08619e73b568523ad437ca2ccb53ab0f5cac8a6d746661613bd16eb4d81b3066","source":{"kind":"arxiv","id":"1601.01721","version":1},"attestation_state":"computed","paper":{"title":"Study of Some Simple Approximations to the Non-Interacting Kinetic Energy Functional","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.atom-ph"],"primary_cat":"physics.chem-ph","authors_text":"Edison X. Salazar, Eduardo V. Lude\\~na, Mauricio Cornejo, Pedro F. Guarderas, Valentin V. Karasiev","submitted_at":"2016-01-07T22:40:13Z","abstract_excerpt":"Within the framework of density functional theory, we present a study of approximations to the enhancement factor of the non-interacting kinetic energy functional $T_s[\\rho]$. For this purpose, we employ the model of Liu and Parr [S. Liu and R.G. Parr, Phys. Rev. A {\\bf 55}, 1792 (1997)] based on a series expansion of $T_s[\\rho]$ involving powers of the density. Applications to 34 atoms, at the Hartree-Fock level showed that the enhancement factors present peaks that are in excellent agreement with those of the exact ones and give an accurate description of the shell structure of these atoms. "},"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":"1601.01721","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2016-01-07T22:40:13Z","cross_cats_sorted":["physics.atom-ph"],"title_canon_sha256":"025ec50a78bf4d316ea4f447afb63b2506e5bee2a088750dc8a834cbb648b36e","abstract_canon_sha256":"95af9922b3bf6cbe114e863bd6a6d789180510ac781ee118ea11f3766adda021"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:11.505136Z","signature_b64":"Z1Mhrqc1WIOXA6Gwq539XqDBnSw/fooHKdBPDnBdtHvmNqXyZLeZ/PVj4KUfRLrPll8UVNMQmilcaxmBYl80AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"08619e73b568523ad437ca2ccb53ab0f5cac8a6d746661613bd16eb4d81b3066","last_reissued_at":"2026-05-18T01:23:11.504643Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:11.504643Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Study of Some Simple Approximations to the Non-Interacting Kinetic Energy Functional","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.atom-ph"],"primary_cat":"physics.chem-ph","authors_text":"Edison X. Salazar, Eduardo V. Lude\\~na, Mauricio Cornejo, Pedro F. Guarderas, Valentin V. Karasiev","submitted_at":"2016-01-07T22:40:13Z","abstract_excerpt":"Within the framework of density functional theory, we present a study of approximations to the enhancement factor of the non-interacting kinetic energy functional $T_s[\\rho]$. For this purpose, we employ the model of Liu and Parr [S. Liu and R.G. Parr, Phys. Rev. A {\\bf 55}, 1792 (1997)] based on a series expansion of $T_s[\\rho]$ involving powers of the density. Applications to 34 atoms, at the Hartree-Fock level showed that the enhancement factors present peaks that are in excellent agreement with those of the exact ones and give an accurate description of the shell structure of these atoms. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.01721","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":"1601.01721","created_at":"2026-05-18T01:23:11.504722+00:00"},{"alias_kind":"arxiv_version","alias_value":"1601.01721v1","created_at":"2026-05-18T01:23:11.504722+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.01721","created_at":"2026-05-18T01:23:11.504722+00:00"},{"alias_kind":"pith_short_12","alias_value":"BBQZ445VNBJD","created_at":"2026-05-18T12:30:07.202191+00:00"},{"alias_kind":"pith_short_16","alias_value":"BBQZ445VNBJDVVBX","created_at":"2026-05-18T12:30:07.202191+00:00"},{"alias_kind":"pith_short_8","alias_value":"BBQZ445V","created_at":"2026-05-18T12:30:07.202191+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/BBQZ445VNBJDVVBXZIWMWU5LB5","json":"https://pith.science/pith/BBQZ445VNBJDVVBXZIWMWU5LB5.json","graph_json":"https://pith.science/api/pith-number/BBQZ445VNBJDVVBXZIWMWU5LB5/graph.json","events_json":"https://pith.science/api/pith-number/BBQZ445VNBJDVVBXZIWMWU5LB5/events.json","paper":"https://pith.science/paper/BBQZ445V"},"agent_actions":{"view_html":"https://pith.science/pith/BBQZ445VNBJDVVBXZIWMWU5LB5","download_json":"https://pith.science/pith/BBQZ445VNBJDVVBXZIWMWU5LB5.json","view_paper":"https://pith.science/paper/BBQZ445V","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1601.01721&json=true","fetch_graph":"https://pith.science/api/pith-number/BBQZ445VNBJDVVBXZIWMWU5LB5/graph.json","fetch_events":"https://pith.science/api/pith-number/BBQZ445VNBJDVVBXZIWMWU5LB5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BBQZ445VNBJDVVBXZIWMWU5LB5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BBQZ445VNBJDVVBXZIWMWU5LB5/action/storage_attestation","attest_author":"https://pith.science/pith/BBQZ445VNBJDVVBXZIWMWU5LB5/action/author_attestation","sign_citation":"https://pith.science/pith/BBQZ445VNBJDVVBXZIWMWU5LB5/action/citation_signature","submit_replication":"https://pith.science/pith/BBQZ445VNBJDVVBXZIWMWU5LB5/action/replication_record"}},"created_at":"2026-05-18T01:23:11.504722+00:00","updated_at":"2026-05-18T01:23:11.504722+00:00"}