{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:OFWUBE65JRC7AH46OOD3674IOP","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"510aa9d38f320a1a3973cd198da7f87e04dd6b4d38a29fbff3d286de41b93c2f","cross_cats_sorted":["cond-mat.other","cond-mat.str-el","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2011-08-01T08:15:34Z","title_canon_sha256":"38d57324bbeed4e0eb20f420bee8607ea45349231beb9679f60ebf3f3e7b8ab6"},"schema_version":"1.0","source":{"id":"1108.0257","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.0257","created_at":"2026-05-18T04:12:20Z"},{"alias_kind":"arxiv_version","alias_value":"1108.0257v1","created_at":"2026-05-18T04:12:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.0257","created_at":"2026-05-18T04:12:20Z"},{"alias_kind":"pith_short_12","alias_value":"OFWUBE65JRC7","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"OFWUBE65JRC7AH46","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"OFWUBE65","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:61b62316041aafcb02bbe44792358a5b9891fc8e9ebbaadb85882e2441aa88fb","target":"graph","created_at":"2026-05-18T04:12:20Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We study the $D$-dimensional high-density correlation energy $\\Ec$ of the singlet ground state of two electrons confined by a harmonic potential with Coulombic repulsion. We allow the harmonic potential to be anisotropic, and examine the behavior of $\\Ec$ as a function of the anisotropy $\\alpha^{-1}$. In particular, we are interested in the limit where the anisotropy goes to infinity ($\\alpha\\to0$) and the electrons are restricted to a lower-dimensional space. We show that tuning the value of $\\alpha$ from 0 to 1 allows a smooth dimensional interpolation and we demonstrate that the usual model","authors_text":"Peter M. W. Gill, Pierre-Fran\\c{c}ois Loos, Yan Zhao","cross_cats":["cond-mat.other","cond-mat.str-el","physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2011-08-01T08:15:34Z","title":"Correlation energy of anisotropic quantum dots"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.0257","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:b59d9cb80fb5a7d325ec14e11264cdde34809b539499a1754e4bb22f0601a66c","target":"record","created_at":"2026-05-18T04:12:20Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"510aa9d38f320a1a3973cd198da7f87e04dd6b4d38a29fbff3d286de41b93c2f","cross_cats_sorted":["cond-mat.other","cond-mat.str-el","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2011-08-01T08:15:34Z","title_canon_sha256":"38d57324bbeed4e0eb20f420bee8607ea45349231beb9679f60ebf3f3e7b8ab6"},"schema_version":"1.0","source":{"id":"1108.0257","kind":"arxiv","version":1}},"canonical_sha256":"716d4093dd4c45f01f9e7387bf7f8873da58636feb5ee3453522f36e0377d2ec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"716d4093dd4c45f01f9e7387bf7f8873da58636feb5ee3453522f36e0377d2ec","first_computed_at":"2026-05-18T04:12:20.622384Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:12:20.622384Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yTV6J0QERGzN9xLmfcnbdTdsxV8DQd3IJQ2g3xf24tjleQ5XCLpDbJ2Dxo6XViFMCJn6L8Ik1D8ssEVnJClxDA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:12:20.623249Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.0257","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b59d9cb80fb5a7d325ec14e11264cdde34809b539499a1754e4bb22f0601a66c","sha256:61b62316041aafcb02bbe44792358a5b9891fc8e9ebbaadb85882e2441aa88fb"],"state_sha256":"b7ea48e8f6ae4855a60184d404b3cc5d2a2153c63a78c9603b3e3b1c2dad79db"}