{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:T3DT2E7EQNR33WH4P3GEOUGPYX","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":"7f6b73edb601d5b1942553e77440e7333ac5f6a97b65d3f0de7796afbf8c734f","cross_cats_sorted":["physics.atom-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-06-11T07:52:05Z","title_canon_sha256":"6d608b0a17ca87d853c1ec11ccc7874d44c1912c3bd7f833a149b70315fdecf3"},"schema_version":"1.0","source":{"id":"1406.2809","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.2809","created_at":"2026-05-18T02:49:55Z"},{"alias_kind":"arxiv_version","alias_value":"1406.2809v1","created_at":"2026-05-18T02:49:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.2809","created_at":"2026-05-18T02:49:55Z"},{"alias_kind":"pith_short_12","alias_value":"T3DT2E7EQNR3","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"T3DT2E7EQNR33WH4","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"T3DT2E7E","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:c9a4a3eda8739d3baac4cb6d61a85d6c339dc05498f8201a7edec0319e55f931","target":"graph","created_at":"2026-05-18T02:49:55Z","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":"Based on a parametric point-wise decomposition, a kind of isospectral deformation, of the exact one-particle probability density of an externally confined, analytically solvable interacting two-particle model system we introduce the associated parametric ($p$) one-matrix and apply it in the conventional M\\\"uller-type partitioning of the pair-density. Using the Schr\\\"odinger Hamiltonian of the correlated system, the corresponding approximate ground-state energy $E_p$ is then calculated. The optimization-search performed on $E_p$ with such restricted informations has a robust performance and res","authors_text":"C. L. Benavides-Riveros, I. Nagy","cross_cats":["physics.atom-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-06-11T07:52:05Z","title":"Variational occupation numbers to a M\\\"uller-type pair-density"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.2809","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":"sha256:33cf5076c3be67d0d756ff2e6292972b4435b40c9d4da5dbdf870f911441fab9","target":"record","created_at":"2026-05-18T02:49:55Z","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":"7f6b73edb601d5b1942553e77440e7333ac5f6a97b65d3f0de7796afbf8c734f","cross_cats_sorted":["physics.atom-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-06-11T07:52:05Z","title_canon_sha256":"6d608b0a17ca87d853c1ec11ccc7874d44c1912c3bd7f833a149b70315fdecf3"},"schema_version":"1.0","source":{"id":"1406.2809","kind":"arxiv","version":1}},"canonical_sha256":"9ec73d13e48363bdd8fc7ecc4750cfc5e284dbc5d681b53b88123a894952e701","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9ec73d13e48363bdd8fc7ecc4750cfc5e284dbc5d681b53b88123a894952e701","first_computed_at":"2026-05-18T02:49:55.059172Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:49:55.059172Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2CmQHoJeV10HRflxQ9tPFqiqg4/Xcqvxbflur3aFH1gMRT9WZ4PqYLsRqk725rVDiu8hcNYgyM+N2tmQodS8DA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:49:55.059748Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.2809","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:33cf5076c3be67d0d756ff2e6292972b4435b40c9d4da5dbdf870f911441fab9","sha256:c9a4a3eda8739d3baac4cb6d61a85d6c339dc05498f8201a7edec0319e55f931"],"state_sha256":"3037fa5b1515c51d0853b63e30d98f386a12ec72ec66e9ff2d00de22182d8d3e"}