{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:GPMPUTOVH63N4ABHMTSKVDS7X6","short_pith_number":"pith:GPMPUTOV","schema_version":"1.0","canonical_sha256":"33d8fa4dd53fb6de002764e4aa8e5fbfa51b97488e738376bc464c2d4e206c01","source":{"kind":"arxiv","id":"0903.4330","version":2},"attestation_state":"computed","paper":{"title":"Non-empirical hyper-generalized-gradient functionals constructed from the Lieb-Oxford bound","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.atom-ph","physics.chem-ph"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"K. Capelle, Mariana M. Odashima","submitted_at":"2009-03-25T17:20:02Z","abstract_excerpt":"A simple and completely general representation of the exact exchange-correlation functional of density-functional theory is derived from the universal Lieb-Oxford bound, which holds for any Coulomb-interacting system. This representation leads to an alternative point of view on popular hybrid functionals, providing a rationale for why they work and how they can be constructed. A similar representation of the exact correlation functional allows to construct fully non-empirical hyper-generalized-gradient approximations (HGGAs), radically departing from established paradigms of functional constru"},"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":"0903.4330","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2009-03-25T17:20:02Z","cross_cats_sorted":["physics.atom-ph","physics.chem-ph"],"title_canon_sha256":"19f6b50679ada20a21b70e69537651f0989acea46f5c6954dcad7a6bf61373c9","abstract_canon_sha256":"f5635d26792f7529e2696c32e5f8650ac9763a4aab1d6f5033ca36fb8a1ddd30"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:14:26.049189Z","signature_b64":"XozMDb1li8WUbVpfXwoEKAPmgfJrt4xy72Mms1MTEviJto/2jJyC5I5+Ynaf9ntlXji/nYUDr1P89t/DoEYABg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"33d8fa4dd53fb6de002764e4aa8e5fbfa51b97488e738376bc464c2d4e206c01","last_reissued_at":"2026-05-18T02:14:26.048684Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:14:26.048684Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-empirical hyper-generalized-gradient functionals constructed from the Lieb-Oxford bound","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.atom-ph","physics.chem-ph"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"K. Capelle, Mariana M. Odashima","submitted_at":"2009-03-25T17:20:02Z","abstract_excerpt":"A simple and completely general representation of the exact exchange-correlation functional of density-functional theory is derived from the universal Lieb-Oxford bound, which holds for any Coulomb-interacting system. This representation leads to an alternative point of view on popular hybrid functionals, providing a rationale for why they work and how they can be constructed. A similar representation of the exact correlation functional allows to construct fully non-empirical hyper-generalized-gradient approximations (HGGAs), radically departing from established paradigms of functional constru"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.4330","kind":"arxiv","version":2},"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":"0903.4330","created_at":"2026-05-18T02:14:26.048764+00:00"},{"alias_kind":"arxiv_version","alias_value":"0903.4330v2","created_at":"2026-05-18T02:14:26.048764+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0903.4330","created_at":"2026-05-18T02:14:26.048764+00:00"},{"alias_kind":"pith_short_12","alias_value":"GPMPUTOVH63N","created_at":"2026-05-18T12:25:59.703012+00:00"},{"alias_kind":"pith_short_16","alias_value":"GPMPUTOVH63N4ABH","created_at":"2026-05-18T12:25:59.703012+00:00"},{"alias_kind":"pith_short_8","alias_value":"GPMPUTOV","created_at":"2026-05-18T12:25:59.703012+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/GPMPUTOVH63N4ABHMTSKVDS7X6","json":"https://pith.science/pith/GPMPUTOVH63N4ABHMTSKVDS7X6.json","graph_json":"https://pith.science/api/pith-number/GPMPUTOVH63N4ABHMTSKVDS7X6/graph.json","events_json":"https://pith.science/api/pith-number/GPMPUTOVH63N4ABHMTSKVDS7X6/events.json","paper":"https://pith.science/paper/GPMPUTOV"},"agent_actions":{"view_html":"https://pith.science/pith/GPMPUTOVH63N4ABHMTSKVDS7X6","download_json":"https://pith.science/pith/GPMPUTOVH63N4ABHMTSKVDS7X6.json","view_paper":"https://pith.science/paper/GPMPUTOV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0903.4330&json=true","fetch_graph":"https://pith.science/api/pith-number/GPMPUTOVH63N4ABHMTSKVDS7X6/graph.json","fetch_events":"https://pith.science/api/pith-number/GPMPUTOVH63N4ABHMTSKVDS7X6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GPMPUTOVH63N4ABHMTSKVDS7X6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GPMPUTOVH63N4ABHMTSKVDS7X6/action/storage_attestation","attest_author":"https://pith.science/pith/GPMPUTOVH63N4ABHMTSKVDS7X6/action/author_attestation","sign_citation":"https://pith.science/pith/GPMPUTOVH63N4ABHMTSKVDS7X6/action/citation_signature","submit_replication":"https://pith.science/pith/GPMPUTOVH63N4ABHMTSKVDS7X6/action/replication_record"}},"created_at":"2026-05-18T02:14:26.048764+00:00","updated_at":"2026-05-18T02:14:26.048764+00:00"}