{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:KYUP7K3SW6HYPLXGVXIQI6JFNJ","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":"6dfcc257fc100e451dc55c8a09f22cf6a7f92a89a774cd251b653a337352def6","cross_cats_sorted":["nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-03-28T01:12:17Z","title_canon_sha256":"a5b9720aef179d54b9d25f70e03c26513918bcc7a8496d72bf859261138842dd"},"schema_version":"1.0","source":{"id":"1603.08276","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.08276","created_at":"2026-05-18T01:15:49Z"},{"alias_kind":"arxiv_version","alias_value":"1603.08276v1","created_at":"2026-05-18T01:15:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.08276","created_at":"2026-05-18T01:15:49Z"},{"alias_kind":"pith_short_12","alias_value":"KYUP7K3SW6HY","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"KYUP7K3SW6HYPLXG","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"KYUP7K3S","created_at":"2026-05-18T12:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:ea65ccebb3bf5035d350a728f22c5c740f4c2f1f235e300862f1636f3f1299fd","target":"graph","created_at":"2026-05-18T01:15:49Z","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 Bogoliubov-Born-Green-Kirkwood-Yvon or Time-Dependent Density Matrix (TDDM) hierarchy of equations for higher density matrices is truncated at the three body level in approximating the three body correlation function by a quadratic form of two body ones, closing the equations in this way. The procedure is discussed in detail and it is shown in non-trivial model cases that the approximate inclusion of three body correlation functions is very important to obtain precise results. A small amplitude approximation of this time dependent nonlinear equation for the two body correlation function is","authors_text":"Mitsuru Tohyama, Peter Schuck","cross_cats":["nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-03-28T01:12:17Z","title":"Progress in Many Body Theory with the Equation of Motion method. Time dependent Density Matrix meets Self-Consistent RPA. Applications to solvable Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.08276","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":"sha256:0a7868599a54be10ff5ecf0da11fb3f59486216322de8bf3c23c001b37f627e0","target":"record","created_at":"2026-05-18T01:15:49Z","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":"6dfcc257fc100e451dc55c8a09f22cf6a7f92a89a774cd251b653a337352def6","cross_cats_sorted":["nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-03-28T01:12:17Z","title_canon_sha256":"a5b9720aef179d54b9d25f70e03c26513918bcc7a8496d72bf859261138842dd"},"schema_version":"1.0","source":{"id":"1603.08276","kind":"arxiv","version":1}},"canonical_sha256":"5628ffab72b78f87aee6add10479256a5db533b92d22d7889e8af67ece0b07a1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5628ffab72b78f87aee6add10479256a5db533b92d22d7889e8af67ece0b07a1","first_computed_at":"2026-05-18T01:15:49.009701Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:15:49.009701Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0I4vNWYjgZ3VA+K7JXofsbwmjzZVj1y7bSxBTj2ifzzl1kWEyQeqe06gX6DRs2VU+E7Cykz778w7pl/Wec+nAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:15:49.010172Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.08276","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0a7868599a54be10ff5ecf0da11fb3f59486216322de8bf3c23c001b37f627e0","sha256:ea65ccebb3bf5035d350a728f22c5c740f4c2f1f235e300862f1636f3f1299fd"],"state_sha256":"4bd290f85dac341752fe4e67ff55f2be566b1ee70006056f2d9c6f1996ab5ccb"}