{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:TVLSOLKV7P67JWUS42LDQ63YL7","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":"ab9a7659c579df3329dfe2c7f15882b487b360fa0fb17f613fe9d0bd239e5fe6","cross_cats_sorted":["cond-mat.other","physics.chem-ph","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-04-04T08:49:36Z","title_canon_sha256":"0f365de39366e856c3f157757d01add1c5bc05ea48987aefaf7953a58b464154"},"schema_version":"1.0","source":{"id":"1104.0498","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.0498","created_at":"2026-05-18T04:16:11Z"},{"alias_kind":"arxiv_version","alias_value":"1104.0498v3","created_at":"2026-05-18T04:16:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.0498","created_at":"2026-05-18T04:16:11Z"},{"alias_kind":"pith_short_12","alias_value":"TVLSOLKV7P67","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"TVLSOLKV7P67JWUS","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"TVLSOLKV","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:2d9579b44a19fea969f1b892ed31492e69acf7a10bc69073450652c944b7728e","target":"graph","created_at":"2026-05-18T04:16:11Z","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":"The correlation energy per electron in the high-density uniform electron gas can be written as $\\Ec(r_s,\\zeta) = \\lam_0(\\zeta) \\ln r_s + \\eps_0(\\zeta) + \\lam_1(\\zeta) \\,r_s \\ln r_s + O(r_s)$, where $r_s$ is the Seitz radius and $\\zeta$ is the relative spin polarization. We derive an expression for $\\lam_1(\\zeta)$ which is exact for any $\\zeta$, including the paramagnetic and ferromagnetic limits, $\\lam_1(0)$ and $\\lam_1(1)$, and discover that the previously published $\\lam_1(1)$ value is incorrect. We trace this error to an integration and limit that do not commute. The spin-resolution of $\\la","authors_text":"Peter M. W. Gill, Pierre-Fran\\c{c}ois Loos","cross_cats":["cond-mat.other","physics.chem-ph","physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-04-04T08:49:36Z","title":"Correlation energy of the spin-polarized uniform electron gas at high density"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.0498","kind":"arxiv","version":3},"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":"sha256:9aeef9b4039ae2f77fb4354d69c16584661c1efbdb7fb6e12a7557e09eb80bba","target":"record","created_at":"2026-05-18T04:16:11Z","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":"ab9a7659c579df3329dfe2c7f15882b487b360fa0fb17f613fe9d0bd239e5fe6","cross_cats_sorted":["cond-mat.other","physics.chem-ph","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-04-04T08:49:36Z","title_canon_sha256":"0f365de39366e856c3f157757d01add1c5bc05ea48987aefaf7953a58b464154"},"schema_version":"1.0","source":{"id":"1104.0498","kind":"arxiv","version":3}},"canonical_sha256":"9d57272d55fbfdf4da92e696387b785fe79d08abd6d182d101f0f5120b71995f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9d57272d55fbfdf4da92e696387b785fe79d08abd6d182d101f0f5120b71995f","first_computed_at":"2026-05-18T04:16:11.859046Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:16:11.859046Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RDd44ABqExLl3lFiSN5fxdG4EICQ7RGTY6TMPNyyQ87VWvrOuAKS8qlXGYtiJqA22PVMvDfwwD/jhc6p147bCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:16:11.859405Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.0498","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9aeef9b4039ae2f77fb4354d69c16584661c1efbdb7fb6e12a7557e09eb80bba","sha256:2d9579b44a19fea969f1b892ed31492e69acf7a10bc69073450652c944b7728e"],"state_sha256":"6ffddfc3a958ee427c4e5d48c069e70c30f249d0cc54443aeae3cefa38d9ac15"}