{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:F4TKX3OTUJ2AE6W6GWZIPJ7Y5B","short_pith_number":"pith:F4TKX3OT","schema_version":"1.0","canonical_sha256":"2f26abedd3a274027ade35b287a7f8e856d53d1158edc6a70bbdef6fafb4b4d6","source":{"kind":"arxiv","id":"1008.2252","version":2},"attestation_state":"computed","paper":{"title":"A Tale of Two Electrons: Correlation at High Density","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other","cond-mat.str-el","physics.comp-ph"],"primary_cat":"physics.chem-ph","authors_text":"Peter M. W. Gill, Pierre-Fran\\c{c}ois Loos","submitted_at":"2010-08-13T04:52:08Z","abstract_excerpt":"We review our recent progress in the determination of the high-density correlation energy $\\Ec$ in two-electron systems. Several two-electron systems are considered, such as the well known helium-like ions (helium), and the Hooke's law atom (hookium). We also present results regarding two electrons on the surface of a sphere (spherium), and two electrons trapped in a spherical box (ballium). We also show that, in the large-dimension limit, the high-density correlation energy of two opposite-spin electrons interacting {\\em via} a Coulomb potential is given by $\\Ec \\sim -1/(8D^2)$ for any radial"},"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":"1008.2252","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2010-08-13T04:52:08Z","cross_cats_sorted":["cond-mat.other","cond-mat.str-el","physics.comp-ph"],"title_canon_sha256":"5ec25e4b959d41c9a7885314ac5d5e1fb28572f6752b735ffd7ed89f4b954049","abstract_canon_sha256":"de8e4b9a3813244c7d79ba050e499f81f63345cff849e217daa3900962b1bb77"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:31:42.147236Z","signature_b64":"V+RvqszIWlPKf99t6ZpYLssXtTyCTSCwfhBdylPWvMfMOo7Upi8MzcG0e+ItilYMPmq2oa3/MmWO2R7C12ZJAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2f26abedd3a274027ade35b287a7f8e856d53d1158edc6a70bbdef6fafb4b4d6","last_reissued_at":"2026-05-18T04:31:42.146693Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:31:42.146693Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Tale of Two Electrons: Correlation at High Density","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other","cond-mat.str-el","physics.comp-ph"],"primary_cat":"physics.chem-ph","authors_text":"Peter M. W. Gill, Pierre-Fran\\c{c}ois Loos","submitted_at":"2010-08-13T04:52:08Z","abstract_excerpt":"We review our recent progress in the determination of the high-density correlation energy $\\Ec$ in two-electron systems. Several two-electron systems are considered, such as the well known helium-like ions (helium), and the Hooke's law atom (hookium). We also present results regarding two electrons on the surface of a sphere (spherium), and two electrons trapped in a spherical box (ballium). We also show that, in the large-dimension limit, the high-density correlation energy of two opposite-spin electrons interacting {\\em via} a Coulomb potential is given by $\\Ec \\sim -1/(8D^2)$ for any radial"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.2252","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":"1008.2252","created_at":"2026-05-18T04:31:42.146763+00:00"},{"alias_kind":"arxiv_version","alias_value":"1008.2252v2","created_at":"2026-05-18T04:31:42.146763+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.2252","created_at":"2026-05-18T04:31:42.146763+00:00"},{"alias_kind":"pith_short_12","alias_value":"F4TKX3OTUJ2A","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_16","alias_value":"F4TKX3OTUJ2AE6W6","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_8","alias_value":"F4TKX3OT","created_at":"2026-05-18T12:26:06.534383+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/F4TKX3OTUJ2AE6W6GWZIPJ7Y5B","json":"https://pith.science/pith/F4TKX3OTUJ2AE6W6GWZIPJ7Y5B.json","graph_json":"https://pith.science/api/pith-number/F4TKX3OTUJ2AE6W6GWZIPJ7Y5B/graph.json","events_json":"https://pith.science/api/pith-number/F4TKX3OTUJ2AE6W6GWZIPJ7Y5B/events.json","paper":"https://pith.science/paper/F4TKX3OT"},"agent_actions":{"view_html":"https://pith.science/pith/F4TKX3OTUJ2AE6W6GWZIPJ7Y5B","download_json":"https://pith.science/pith/F4TKX3OTUJ2AE6W6GWZIPJ7Y5B.json","view_paper":"https://pith.science/paper/F4TKX3OT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1008.2252&json=true","fetch_graph":"https://pith.science/api/pith-number/F4TKX3OTUJ2AE6W6GWZIPJ7Y5B/graph.json","fetch_events":"https://pith.science/api/pith-number/F4TKX3OTUJ2AE6W6GWZIPJ7Y5B/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/F4TKX3OTUJ2AE6W6GWZIPJ7Y5B/action/timestamp_anchor","attest_storage":"https://pith.science/pith/F4TKX3OTUJ2AE6W6GWZIPJ7Y5B/action/storage_attestation","attest_author":"https://pith.science/pith/F4TKX3OTUJ2AE6W6GWZIPJ7Y5B/action/author_attestation","sign_citation":"https://pith.science/pith/F4TKX3OTUJ2AE6W6GWZIPJ7Y5B/action/citation_signature","submit_replication":"https://pith.science/pith/F4TKX3OTUJ2AE6W6GWZIPJ7Y5B/action/replication_record"}},"created_at":"2026-05-18T04:31:42.146763+00:00","updated_at":"2026-05-18T04:31:42.146763+00:00"}