{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:C4OGT4LMKUJJVY32BP7EEE5WWE","short_pith_number":"pith:C4OGT4LM","schema_version":"1.0","canonical_sha256":"171c69f16c55129ae37a0bfe4213b6b122a45827496f6f7b9f2f5b0476bff03b","source":{"kind":"arxiv","id":"0804.2678","version":3},"attestation_state":"computed","paper":{"title":"Density Functional Theory for non-relativistic Fermions in the Unitarity Limit","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other"],"primary_cat":"nucl-th","authors_text":"Gautam Rupak, Thomas Schaefer (North Carolina State University)","submitted_at":"2008-04-17T03:37:27Z","abstract_excerpt":"We derive an energy density functional for non-relativistic spin one-half fermions in the limit of a divergent two-body scattering length. Using an epsilon expansion around d=4-epsilon spatial dimensions we compute the coefficient of the leading correction beyond the local density approximation (LDA). In the case of N fermionic atoms trapped in a harmonic potential this correction has the form E=E_(LDA)(1+c_s (3N)^(-2/3)), where E_(LDA) is the total energy in LDA approximation. At next-to-leading order in the epsilon expansion we find c_s=1.68, which is significantly larger than the result for"},"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":"0804.2678","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2008-04-17T03:37:27Z","cross_cats_sorted":["cond-mat.other"],"title_canon_sha256":"34f5bcbd1a527e78b5d4b42b46f90e752b3a0c669bf186af46f1bd18fd969d53","abstract_canon_sha256":"2d0b8c838977f86514f90fb66567abecad2aacd3ac71fccfd2d021785ee3aca1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:39:56.646021Z","signature_b64":"KIwhK5ZnJZ73UY7B0vreIMPIfUo8Lud3nD+VXEOOhagYgzkFmpW3ahn+Iw0M3+boGvNeb2G9IkLL6aotHZ9xBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"171c69f16c55129ae37a0bfe4213b6b122a45827496f6f7b9f2f5b0476bff03b","last_reissued_at":"2026-07-04T15:39:56.645614Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:39:56.645614Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Density Functional Theory for non-relativistic Fermions in the Unitarity Limit","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other"],"primary_cat":"nucl-th","authors_text":"Gautam Rupak, Thomas Schaefer (North Carolina State University)","submitted_at":"2008-04-17T03:37:27Z","abstract_excerpt":"We derive an energy density functional for non-relativistic spin one-half fermions in the limit of a divergent two-body scattering length. Using an epsilon expansion around d=4-epsilon spatial dimensions we compute the coefficient of the leading correction beyond the local density approximation (LDA). In the case of N fermionic atoms trapped in a harmonic potential this correction has the form E=E_(LDA)(1+c_s (3N)^(-2/3)), where E_(LDA) is the total energy in LDA approximation. At next-to-leading order in the epsilon expansion we find c_s=1.68, which is significantly larger than the result for"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0804.2678","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0804.2678/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"0804.2678","created_at":"2026-07-04T15:39:56.645670+00:00"},{"alias_kind":"arxiv_version","alias_value":"0804.2678v3","created_at":"2026-07-04T15:39:56.645670+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0804.2678","created_at":"2026-07-04T15:39:56.645670+00:00"},{"alias_kind":"pith_short_12","alias_value":"C4OGT4LMKUJJ","created_at":"2026-07-04T15:39:56.645670+00:00"},{"alias_kind":"pith_short_16","alias_value":"C4OGT4LMKUJJVY32","created_at":"2026-07-04T15:39:56.645670+00:00"},{"alias_kind":"pith_short_8","alias_value":"C4OGT4LM","created_at":"2026-07-04T15:39:56.645670+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/C4OGT4LMKUJJVY32BP7EEE5WWE","json":"https://pith.science/pith/C4OGT4LMKUJJVY32BP7EEE5WWE.json","graph_json":"https://pith.science/api/pith-number/C4OGT4LMKUJJVY32BP7EEE5WWE/graph.json","events_json":"https://pith.science/api/pith-number/C4OGT4LMKUJJVY32BP7EEE5WWE/events.json","paper":"https://pith.science/paper/C4OGT4LM"},"agent_actions":{"view_html":"https://pith.science/pith/C4OGT4LMKUJJVY32BP7EEE5WWE","download_json":"https://pith.science/pith/C4OGT4LMKUJJVY32BP7EEE5WWE.json","view_paper":"https://pith.science/paper/C4OGT4LM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0804.2678&json=true","fetch_graph":"https://pith.science/api/pith-number/C4OGT4LMKUJJVY32BP7EEE5WWE/graph.json","fetch_events":"https://pith.science/api/pith-number/C4OGT4LMKUJJVY32BP7EEE5WWE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/C4OGT4LMKUJJVY32BP7EEE5WWE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/C4OGT4LMKUJJVY32BP7EEE5WWE/action/storage_attestation","attest_author":"https://pith.science/pith/C4OGT4LMKUJJVY32BP7EEE5WWE/action/author_attestation","sign_citation":"https://pith.science/pith/C4OGT4LMKUJJVY32BP7EEE5WWE/action/citation_signature","submit_replication":"https://pith.science/pith/C4OGT4LMKUJJVY32BP7EEE5WWE/action/replication_record"}},"created_at":"2026-07-04T15:39:56.645670+00:00","updated_at":"2026-07-04T15:39:56.645670+00:00"}