{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:BBQZ445VNBJDVVBXZIWMWU5LB5","short_pith_number":"pith:BBQZ445V","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"},"canonical_sha256":"08619e73b568523ad437ca2ccb53ab0f5cac8a6d746661613bd16eb4d81b3066","source":{"kind":"arxiv","id":"1601.01721","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.01721","created_at":"2026-05-18T01:23:11Z"},{"alias_kind":"arxiv_version","alias_value":"1601.01721v1","created_at":"2026-05-18T01:23:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.01721","created_at":"2026-05-18T01:23:11Z"},{"alias_kind":"pith_short_12","alias_value":"BBQZ445VNBJD","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"BBQZ445VNBJDVVBX","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"BBQZ445V","created_at":"2026-05-18T12:30:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:BBQZ445VNBJDVVBXZIWMWU5LB5","target":"record","payload":{"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"},"canonical_sha256":"08619e73b568523ad437ca2ccb53ab0f5cac8a6d746661613bd16eb4d81b3066","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"},"source_kind":"arxiv","source_id":"1601.01721","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:23:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vRzTIb+iUV3ZCwmTi9p7coYXIUDGT/h8iWI7nY7JXyDgOf69Rero5ifXAhERl33yvEG62wG/KC8Rqxrxcl1tBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T15:17:46.264044Z"},"content_sha256":"1901660aa65ab45d4043a13265d544feae99f3b14198d086b2dcf54e38991e7e","schema_version":"1.0","event_id":"sha256:1901660aa65ab45d4043a13265d544feae99f3b14198d086b2dcf54e38991e7e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:BBQZ445VNBJDVVBXZIWMWU5LB5","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:23:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IuFj2gHV+zyio/fgi3it4206do0dNd87ij1A9ndEIAX0aJuzpd7hpts6zruPm8vtVkw4Yx3yqmZYV5Btz7NfBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T15:17:46.264626Z"},"content_sha256":"17e5aa20bae72dc1007646500afcef649809608e0af8e1da62c4198bd92a523f","schema_version":"1.0","event_id":"sha256:17e5aa20bae72dc1007646500afcef649809608e0af8e1da62c4198bd92a523f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BBQZ445VNBJDVVBXZIWMWU5LB5/bundle.json","state_url":"https://pith.science/pith/BBQZ445VNBJDVVBXZIWMWU5LB5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BBQZ445VNBJDVVBXZIWMWU5LB5/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-10T15:17:46Z","links":{"resolver":"https://pith.science/pith/BBQZ445VNBJDVVBXZIWMWU5LB5","bundle":"https://pith.science/pith/BBQZ445VNBJDVVBXZIWMWU5LB5/bundle.json","state":"https://pith.science/pith/BBQZ445VNBJDVVBXZIWMWU5LB5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BBQZ445VNBJDVVBXZIWMWU5LB5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:BBQZ445VNBJDVVBXZIWMWU5LB5","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":"95af9922b3bf6cbe114e863bd6a6d789180510ac781ee118ea11f3766adda021","cross_cats_sorted":["physics.atom-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2016-01-07T22:40:13Z","title_canon_sha256":"025ec50a78bf4d316ea4f447afb63b2506e5bee2a088750dc8a834cbb648b36e"},"schema_version":"1.0","source":{"id":"1601.01721","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.01721","created_at":"2026-05-18T01:23:11Z"},{"alias_kind":"arxiv_version","alias_value":"1601.01721v1","created_at":"2026-05-18T01:23:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.01721","created_at":"2026-05-18T01:23:11Z"},{"alias_kind":"pith_short_12","alias_value":"BBQZ445VNBJD","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"BBQZ445VNBJDVVBX","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"BBQZ445V","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:17e5aa20bae72dc1007646500afcef649809608e0af8e1da62c4198bd92a523f","target":"graph","created_at":"2026-05-18T01:23:11Z","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"},"paper":{"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. ","authors_text":"Edison X. Salazar, Eduardo V. Lude\\~na, Mauricio Cornejo, Pedro F. Guarderas, Valentin V. Karasiev","cross_cats":["physics.atom-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2016-01-07T22:40:13Z","title":"Study of Some Simple Approximations to the Non-Interacting Kinetic Energy Functional"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.01721","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":"sha256:1901660aa65ab45d4043a13265d544feae99f3b14198d086b2dcf54e38991e7e","target":"record","created_at":"2026-05-18T01:23:11Z","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":"95af9922b3bf6cbe114e863bd6a6d789180510ac781ee118ea11f3766adda021","cross_cats_sorted":["physics.atom-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2016-01-07T22:40:13Z","title_canon_sha256":"025ec50a78bf4d316ea4f447afb63b2506e5bee2a088750dc8a834cbb648b36e"},"schema_version":"1.0","source":{"id":"1601.01721","kind":"arxiv","version":1}},"canonical_sha256":"08619e73b568523ad437ca2ccb53ab0f5cac8a6d746661613bd16eb4d81b3066","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"08619e73b568523ad437ca2ccb53ab0f5cac8a6d746661613bd16eb4d81b3066","first_computed_at":"2026-05-18T01:23:11.504643Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:11.504643Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Z1Mhrqc1WIOXA6Gwq539XqDBnSw/fooHKdBPDnBdtHvmNqXyZLeZ/PVj4KUfRLrPll8UVNMQmilcaxmBYl80AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:11.505136Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.01721","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1901660aa65ab45d4043a13265d544feae99f3b14198d086b2dcf54e38991e7e","sha256:17e5aa20bae72dc1007646500afcef649809608e0af8e1da62c4198bd92a523f"],"state_sha256":"df72ea7892b5f8d0790572d2fdf30cc612bacaf49002ff81dda9e92a43cf2508"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6tYn/hVrhl9fC9V+R6LakZy6QF6D/ECd84USmy5nHYETkZJu7cvZ+7OzwIzK49IKF8u+/BGa0JRwOAs1q3f8Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T15:17:46.267210Z","bundle_sha256":"0e3149175abce3cbddfe8ef5943f1e301c1cd32c4c8efcd9dc3912b2935633f8"}}