{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:BHZHVKGUQ3E56MTDQECETEHAKT","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":"7c7749bab647ebad5b6223d547b21d4926c2db97755e1002ff875613a711d417","cross_cats_sorted":["cond-mat.str-el","physics.chem-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-06-27T14:52:19Z","title_canon_sha256":"a196d89133c496deefd725bd14b8d3f76cb4373eaca12877eb6a591918739616"},"schema_version":"1.0","source":{"id":"1306.6528","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.6528","created_at":"2026-05-18T02:41:18Z"},{"alias_kind":"arxiv_version","alias_value":"1306.6528v2","created_at":"2026-05-18T02:41:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.6528","created_at":"2026-05-18T02:41:18Z"},{"alias_kind":"pith_short_12","alias_value":"BHZHVKGUQ3E5","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"BHZHVKGUQ3E56MTD","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"BHZHVKGU","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:d8b40e68d12cc995ebeefca5149735f75bf6bb89f41c2c62e49f84c08bed78f0","target":"graph","created_at":"2026-05-18T02:41:18Z","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 Pauli exclusion principle gives an upper bound of 1 on the natural occupation numbers. Recently there has been an intriguing amount of theoretical evidence that there is a plethora of additional generalized Pauli restrictions or (in)equalities, of kinematic nature, satisfied by these numbers. Here for the first time a numerical analysis of the nature of such constraints is effected in real atoms. The inequalities are nearly saturated, or quasi-pinned. For rank-six and rank-seven approximations for lithium, the deviation from saturation is smaller than the lowest occupancy number. For a ran","authors_text":"Carlos L. Benavides-Riveros, Jos\\'e M. Gracia-Bond\\'ia, Michael Springborg","cross_cats":["cond-mat.str-el","physics.chem-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-06-27T14:52:19Z","title":"Quasi-pinning and entanglement in the lithium isoelectronic series"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.6528","kind":"arxiv","version":2},"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":"sha256:260dbe089ade9f5ddfd32ca70e8a92561c08c143629b9e8f226fe8f542ed2382","target":"record","created_at":"2026-05-18T02:41:18Z","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":"7c7749bab647ebad5b6223d547b21d4926c2db97755e1002ff875613a711d417","cross_cats_sorted":["cond-mat.str-el","physics.chem-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-06-27T14:52:19Z","title_canon_sha256":"a196d89133c496deefd725bd14b8d3f76cb4373eaca12877eb6a591918739616"},"schema_version":"1.0","source":{"id":"1306.6528","kind":"arxiv","version":2}},"canonical_sha256":"09f27aa8d486c9df326381044990e054d4e35211e749e7d0ead4d480eaa95876","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"09f27aa8d486c9df326381044990e054d4e35211e749e7d0ead4d480eaa95876","first_computed_at":"2026-05-18T02:41:18.801810Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:41:18.801810Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ObywByXwB+1MFWHld1CeSRWjY2gyAOIrYFs52yPTu8YESkVob4vR20UR2UjHJ1BbSyzHtfb01DRHMwNjsQRSDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:41:18.802328Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.6528","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:260dbe089ade9f5ddfd32ca70e8a92561c08c143629b9e8f226fe8f542ed2382","sha256:d8b40e68d12cc995ebeefca5149735f75bf6bb89f41c2c62e49f84c08bed78f0"],"state_sha256":"39d42283002c0eb0b5926cbfdd24f32e0bb8f127bdd10e8f6f478bfa6d873134"}