{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:IZXQ6MLDJAZQEZES2DG75P2CIE","short_pith_number":"pith:IZXQ6MLD","schema_version":"1.0","canonical_sha256":"466f0f31634833026492d0cdfebf4241364150eea22ba8a372162a3d7a398224","source":{"kind":"arxiv","id":"1108.1912","version":4},"attestation_state":"computed","paper":{"title":"The two-body reduced density matrix of the high-density electron gas","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"P. Ziesche","submitted_at":"2011-08-09T12:42:08Z","abstract_excerpt":"For the first time, the cumulant 2-body reduced density matrix (= 2-matrix) of the spin-unpolarized homogeneous electron gas (HEG) is considered. This $\\gamma_{\\rm c}$ proves to be the common source for both the momentum distribution $n(k)$ and the static structure factor $S(q)$. Within many-body perturbation theory, this $\\gamma_{\\rm c}$ is given by only {\\it linked} diagrams (with 2 open particle-hole lines as well as with closed loops and interaction lines). Here it is worked out in detail, how the 1-body quantity $n(k)$ follows from the 2-body quantity $\\gamma_{\\rm c}$ - through a certain "},"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":"1108.1912","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-08-09T12:42:08Z","cross_cats_sorted":[],"title_canon_sha256":"8ba3b0eb22b809e91d1ad433ab3dd50a453706c6f023631e9957966c3243c9f5","abstract_canon_sha256":"023a8e74803d5090e63e2762d26736ca97065ea9cb155b10e5893e3cf6acdadd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:59:13.831463Z","signature_b64":"G2btPYRxJL5rErDZufwQ8AOm57W1a9Aa8Fz7J5b2b+Xey3IYpgR3B3UBt2ngKlhn2xzx8GdUpZ90YbIf5SZRBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"466f0f31634833026492d0cdfebf4241364150eea22ba8a372162a3d7a398224","last_reissued_at":"2026-05-18T03:59:13.830673Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:59:13.830673Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The two-body reduced density matrix of the high-density electron gas","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"P. Ziesche","submitted_at":"2011-08-09T12:42:08Z","abstract_excerpt":"For the first time, the cumulant 2-body reduced density matrix (= 2-matrix) of the spin-unpolarized homogeneous electron gas (HEG) is considered. This $\\gamma_{\\rm c}$ proves to be the common source for both the momentum distribution $n(k)$ and the static structure factor $S(q)$. Within many-body perturbation theory, this $\\gamma_{\\rm c}$ is given by only {\\it linked} diagrams (with 2 open particle-hole lines as well as with closed loops and interaction lines). Here it is worked out in detail, how the 1-body quantity $n(k)$ follows from the 2-body quantity $\\gamma_{\\rm c}$ - through a certain "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.1912","kind":"arxiv","version":4},"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":"1108.1912","created_at":"2026-05-18T03:59:13.830789+00:00"},{"alias_kind":"arxiv_version","alias_value":"1108.1912v4","created_at":"2026-05-18T03:59:13.830789+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.1912","created_at":"2026-05-18T03:59:13.830789+00:00"},{"alias_kind":"pith_short_12","alias_value":"IZXQ6MLDJAZQ","created_at":"2026-05-18T12:26:32.869790+00:00"},{"alias_kind":"pith_short_16","alias_value":"IZXQ6MLDJAZQEZES","created_at":"2026-05-18T12:26:32.869790+00:00"},{"alias_kind":"pith_short_8","alias_value":"IZXQ6MLD","created_at":"2026-05-18T12:26:32.869790+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/IZXQ6MLDJAZQEZES2DG75P2CIE","json":"https://pith.science/pith/IZXQ6MLDJAZQEZES2DG75P2CIE.json","graph_json":"https://pith.science/api/pith-number/IZXQ6MLDJAZQEZES2DG75P2CIE/graph.json","events_json":"https://pith.science/api/pith-number/IZXQ6MLDJAZQEZES2DG75P2CIE/events.json","paper":"https://pith.science/paper/IZXQ6MLD"},"agent_actions":{"view_html":"https://pith.science/pith/IZXQ6MLDJAZQEZES2DG75P2CIE","download_json":"https://pith.science/pith/IZXQ6MLDJAZQEZES2DG75P2CIE.json","view_paper":"https://pith.science/paper/IZXQ6MLD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1108.1912&json=true","fetch_graph":"https://pith.science/api/pith-number/IZXQ6MLDJAZQEZES2DG75P2CIE/graph.json","fetch_events":"https://pith.science/api/pith-number/IZXQ6MLDJAZQEZES2DG75P2CIE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IZXQ6MLDJAZQEZES2DG75P2CIE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IZXQ6MLDJAZQEZES2DG75P2CIE/action/storage_attestation","attest_author":"https://pith.science/pith/IZXQ6MLDJAZQEZES2DG75P2CIE/action/author_attestation","sign_citation":"https://pith.science/pith/IZXQ6MLDJAZQEZES2DG75P2CIE/action/citation_signature","submit_replication":"https://pith.science/pith/IZXQ6MLDJAZQEZES2DG75P2CIE/action/replication_record"}},"created_at":"2026-05-18T03:59:13.830789+00:00","updated_at":"2026-05-18T03:59:13.830789+00:00"}