{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:IV35KNKGUKUMTLXJVGKS4D44QN","short_pith_number":"pith:IV35KNKG","schema_version":"1.0","canonical_sha256":"4577d53546a2a8c9aee9a9952e0f9c8357a2419138157ffce3828a0d728fee93","source":{"kind":"arxiv","id":"0912.4463","version":1},"attestation_state":"computed","paper":{"title":"Atoms and Quantum Dots With a Large Number of Electrons: the Ground State Energy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Herv\\'e Kunz, Rico Rueedi","submitted_at":"2009-12-22T17:33:03Z","abstract_excerpt":"We compute the ground state energy of atoms and quantum dots with a large number N of electrons. Both systems are described by a non-relativistic Hamiltonian of electrons in a d-dimensional space. The electrons interact via the Coulomb potential. In the case of atoms (d=3), the electrons are attracted by the nucleus, via the Coulomb potential. In the case of quantum dots (d=2), the electrons are confined by an external potential, whose shape can be varied. We show that the dominant terms of the ground state energy are those given by a semiclassical Hartree-exchange energy, whose N to infinity "},"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":"0912.4463","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-12-22T17:33:03Z","cross_cats_sorted":[],"title_canon_sha256":"10916172d4d0943c2c85b15c2de18eaa7aeed09e626e4736c1abba4e5dce0c6a","abstract_canon_sha256":"d6afc02f32cf8d4cef99ed8c1b9886dc8ccf435464e97aaba9c509680f6f0fcc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:10:14.524536Z","signature_b64":"zu71voceozlHCJATje+uLDYYG5Zi/keFbNCwKTiPEmCuFjQ8w3Wn+0uy32u1a//KpuayS5TVD3ZlyU2e3iIsBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4577d53546a2a8c9aee9a9952e0f9c8357a2419138157ffce3828a0d728fee93","last_reissued_at":"2026-05-18T02:10:14.523913Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:10:14.523913Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Atoms and Quantum Dots With a Large Number of Electrons: the Ground State Energy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Herv\\'e Kunz, Rico Rueedi","submitted_at":"2009-12-22T17:33:03Z","abstract_excerpt":"We compute the ground state energy of atoms and quantum dots with a large number N of electrons. Both systems are described by a non-relativistic Hamiltonian of electrons in a d-dimensional space. The electrons interact via the Coulomb potential. In the case of atoms (d=3), the electrons are attracted by the nucleus, via the Coulomb potential. In the case of quantum dots (d=2), the electrons are confined by an external potential, whose shape can be varied. We show that the dominant terms of the ground state energy are those given by a semiclassical Hartree-exchange energy, whose N to infinity "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.4463","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":"0912.4463","created_at":"2026-05-18T02:10:14.523995+00:00"},{"alias_kind":"arxiv_version","alias_value":"0912.4463v1","created_at":"2026-05-18T02:10:14.523995+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.4463","created_at":"2026-05-18T02:10:14.523995+00:00"},{"alias_kind":"pith_short_12","alias_value":"IV35KNKGUKUM","created_at":"2026-05-18T12:26:00.592388+00:00"},{"alias_kind":"pith_short_16","alias_value":"IV35KNKGUKUMTLXJ","created_at":"2026-05-18T12:26:00.592388+00:00"},{"alias_kind":"pith_short_8","alias_value":"IV35KNKG","created_at":"2026-05-18T12:26:00.592388+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/IV35KNKGUKUMTLXJVGKS4D44QN","json":"https://pith.science/pith/IV35KNKGUKUMTLXJVGKS4D44QN.json","graph_json":"https://pith.science/api/pith-number/IV35KNKGUKUMTLXJVGKS4D44QN/graph.json","events_json":"https://pith.science/api/pith-number/IV35KNKGUKUMTLXJVGKS4D44QN/events.json","paper":"https://pith.science/paper/IV35KNKG"},"agent_actions":{"view_html":"https://pith.science/pith/IV35KNKGUKUMTLXJVGKS4D44QN","download_json":"https://pith.science/pith/IV35KNKGUKUMTLXJVGKS4D44QN.json","view_paper":"https://pith.science/paper/IV35KNKG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0912.4463&json=true","fetch_graph":"https://pith.science/api/pith-number/IV35KNKGUKUMTLXJVGKS4D44QN/graph.json","fetch_events":"https://pith.science/api/pith-number/IV35KNKGUKUMTLXJVGKS4D44QN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IV35KNKGUKUMTLXJVGKS4D44QN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IV35KNKGUKUMTLXJVGKS4D44QN/action/storage_attestation","attest_author":"https://pith.science/pith/IV35KNKGUKUMTLXJVGKS4D44QN/action/author_attestation","sign_citation":"https://pith.science/pith/IV35KNKGUKUMTLXJVGKS4D44QN/action/citation_signature","submit_replication":"https://pith.science/pith/IV35KNKGUKUMTLXJVGKS4D44QN/action/replication_record"}},"created_at":"2026-05-18T02:10:14.523995+00:00","updated_at":"2026-05-18T02:10:14.523995+00:00"}