{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:DWECXYAHWKXKVJLLKTGQIIMTRP","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":"94ef971807a6621d3ee397618ce0240068aa7d904607ebd514eadd226a411e92","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2009-05-26T09:22:16Z","title_canon_sha256":"f2f20450c810ade586866bc449284319175977a19a6f6b9b2c348d7eb26bd6d8"},"schema_version":"1.0","source":{"id":"0905.4144","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0905.4144","created_at":"2026-05-18T02:13:37Z"},{"alias_kind":"arxiv_version","alias_value":"0905.4144v1","created_at":"2026-05-18T02:13:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.4144","created_at":"2026-05-18T02:13:37Z"},{"alias_kind":"pith_short_12","alias_value":"DWECXYAHWKXK","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"DWECXYAHWKXKVJLL","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"DWECXYAH","created_at":"2026-05-18T12:25:59Z"}],"graph_snapshots":[{"event_id":"sha256:681b9ff9e12d03bd4e0d8232566cd6734b27b44e4e1dd72ecb30c4d291f34292","target":"graph","created_at":"2026-05-18T02:13:37Z","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":"It is shown {\\it in detail how} the ground-state self-energy $\\Sigma(k,\\omega)$ of the spin-unpolarized uniform electron gas (with the density parameter $r_s$) in its high-density limit $r_s\\to 0 $ determines: the momentum distribution $n(k)$ through the Migdal formula, the kinetic energy $t$ from $n(k)$, the potential energy $v$ through the Galitskii-Migdal formula, the static structure factor $S(q)$ from $e=t+v$ by means of a Hellmann-Feynman functional derivative. The ring-diagram partial summation or random-phase approximation is extensively used and the results of Macke, Gell-Mann/Brueckn","authors_text":"Paul Ziesche","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2009-05-26T09:22:16Z","title":"The high-density electron gas: How its momentum distribution n(k) and its static structure factor S(q) are mutually related through the off-shell self-energy Sigma(k,omega)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.4144","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:ef0bd3f1b69c2034f02ea6a465f6d229e990bf2123e72f05ba650cc7b6093ce2","target":"record","created_at":"2026-05-18T02:13:37Z","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":"94ef971807a6621d3ee397618ce0240068aa7d904607ebd514eadd226a411e92","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2009-05-26T09:22:16Z","title_canon_sha256":"f2f20450c810ade586866bc449284319175977a19a6f6b9b2c348d7eb26bd6d8"},"schema_version":"1.0","source":{"id":"0905.4144","kind":"arxiv","version":1}},"canonical_sha256":"1d882be007b2aeaaa56b54cd0421938bf517195a8bc0a330a3e58acc98215423","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1d882be007b2aeaaa56b54cd0421938bf517195a8bc0a330a3e58acc98215423","first_computed_at":"2026-05-18T02:13:37.579656Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:13:37.579656Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"A2AYJr56uFy2ZFtOJlDruA+xqbWfG4D2WJcj4m+yGCMsyFfNvJ8MG0761MDfsqr4BGMN265IaCBLKh+dt+aZBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:13:37.580292Z","signed_message":"canonical_sha256_bytes"},"source_id":"0905.4144","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ef0bd3f1b69c2034f02ea6a465f6d229e990bf2123e72f05ba650cc7b6093ce2","sha256:681b9ff9e12d03bd4e0d8232566cd6734b27b44e4e1dd72ecb30c4d291f34292"],"state_sha256":"fdde342bc16b459952f73fe11a3163fd147a44d3af3ee2bb150a61d3564d6179"}