{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:62XXS5MXSFSBTPPCQN34CDUUAK","short_pith_number":"pith:62XXS5MX","schema_version":"1.0","canonical_sha256":"f6af797597916419bde28377c10e9402936b5019d9dbccfc0cde660449108bce","source":{"kind":"arxiv","id":"0808.2163","version":1},"attestation_state":"computed","paper":{"title":"The relativistic Scott correction for atoms and molecules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","math.SP"],"primary_cat":"math-ph","authors_text":"D), DK), Jan Philip Solovej (University of Copenhagen, Thomas {\\O}stergaard S{\\o}rensen (Aalborg University, Wolfgang L. Spitzer (University of Erlangen","submitted_at":"2008-08-15T16:19:03Z","abstract_excerpt":"We prove the first correction to the leading Thomas-Fermi energy for the ground state energy of atoms and molecules in a model where the kinetic energy of the electrons is treated relativistically. The leading Thomas-Fermi energy, established in [Sorensen], as well as the correction given here are of semi-classical nature. Our result on atoms and molecules is proved from a general semi-classical estimate for relativistic operators with potentials with Coulomb-like singularities. This semi-classical estimate is obtained using the coherent state calculus introduced in [Solovej-Spitzer]. The pape"},"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":"0808.2163","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2008-08-15T16:19:03Z","cross_cats_sorted":["math.MP","math.SP"],"title_canon_sha256":"d699682b0c95e488311b8dd995acb7530f2e651a302c291dfb0f3fa2b2269891","abstract_canon_sha256":"832f1e5d151e8ceb5bc73a0294dccec021d4614ebd83a0601efe1a8e190b8dae"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:08:38.731293Z","signature_b64":"F41iaGSZFiTuYAG0sLNKTnx1zwzoI5dUpkdHGOTz4kFLaGR5TB8Su7gBeX8vAP9JWYIbeFuOCyAOz7HaLxsCBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f6af797597916419bde28377c10e9402936b5019d9dbccfc0cde660449108bce","last_reissued_at":"2026-05-18T03:08:38.730834Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:08:38.730834Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The relativistic Scott correction for atoms and molecules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","math.SP"],"primary_cat":"math-ph","authors_text":"D), DK), Jan Philip Solovej (University of Copenhagen, Thomas {\\O}stergaard S{\\o}rensen (Aalborg University, Wolfgang L. Spitzer (University of Erlangen","submitted_at":"2008-08-15T16:19:03Z","abstract_excerpt":"We prove the first correction to the leading Thomas-Fermi energy for the ground state energy of atoms and molecules in a model where the kinetic energy of the electrons is treated relativistically. The leading Thomas-Fermi energy, established in [Sorensen], as well as the correction given here are of semi-classical nature. Our result on atoms and molecules is proved from a general semi-classical estimate for relativistic operators with potentials with Coulomb-like singularities. This semi-classical estimate is obtained using the coherent state calculus introduced in [Solovej-Spitzer]. The pape"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0808.2163","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":"0808.2163","created_at":"2026-05-18T03:08:38.730899+00:00"},{"alias_kind":"arxiv_version","alias_value":"0808.2163v1","created_at":"2026-05-18T03:08:38.730899+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0808.2163","created_at":"2026-05-18T03:08:38.730899+00:00"},{"alias_kind":"pith_short_12","alias_value":"62XXS5MXSFSB","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_16","alias_value":"62XXS5MXSFSBTPPC","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_8","alias_value":"62XXS5MX","created_at":"2026-05-18T12:25:56.245647+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/62XXS5MXSFSBTPPCQN34CDUUAK","json":"https://pith.science/pith/62XXS5MXSFSBTPPCQN34CDUUAK.json","graph_json":"https://pith.science/api/pith-number/62XXS5MXSFSBTPPCQN34CDUUAK/graph.json","events_json":"https://pith.science/api/pith-number/62XXS5MXSFSBTPPCQN34CDUUAK/events.json","paper":"https://pith.science/paper/62XXS5MX"},"agent_actions":{"view_html":"https://pith.science/pith/62XXS5MXSFSBTPPCQN34CDUUAK","download_json":"https://pith.science/pith/62XXS5MXSFSBTPPCQN34CDUUAK.json","view_paper":"https://pith.science/paper/62XXS5MX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0808.2163&json=true","fetch_graph":"https://pith.science/api/pith-number/62XXS5MXSFSBTPPCQN34CDUUAK/graph.json","fetch_events":"https://pith.science/api/pith-number/62XXS5MXSFSBTPPCQN34CDUUAK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/62XXS5MXSFSBTPPCQN34CDUUAK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/62XXS5MXSFSBTPPCQN34CDUUAK/action/storage_attestation","attest_author":"https://pith.science/pith/62XXS5MXSFSBTPPCQN34CDUUAK/action/author_attestation","sign_citation":"https://pith.science/pith/62XXS5MXSFSBTPPCQN34CDUUAK/action/citation_signature","submit_replication":"https://pith.science/pith/62XXS5MXSFSBTPPCQN34CDUUAK/action/replication_record"}},"created_at":"2026-05-18T03:08:38.730899+00:00","updated_at":"2026-05-18T03:08:38.730899+00:00"}