{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1996:7IF5SJOWAX2PNDWHEMHW4LK3XQ","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":"a65f20c510438c660acd08a4c979ae7bd7c3a7ad35bd2cb9b7ab9365975aeb4f","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"1996-04-08T08:37:37Z","title_canon_sha256":"e3d792825fb8741526a0b587180df4afd10b6ea70f993e2fa99a386c670688e1"},"schema_version":"1.0","source":{"id":"quant-ph/9604005","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/9604005","created_at":"2026-05-18T04:22:50Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/9604005v2","created_at":"2026-05-18T04:22:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/9604005","created_at":"2026-05-18T04:22:50Z"},{"alias_kind":"pith_short_12","alias_value":"7IF5SJOWAX2P","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"7IF5SJOWAX2PNDWH","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"7IF5SJOW","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:a6bf991ab7beddc1a351891fc61946a0f6cc107493cbc875d745d83a2710a801","target":"graph","created_at":"2026-05-18T04:22:50Z","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":"A quantum system consisting of two subsystems is separable if its density matrix can be written as $\\rho=\\sum_A w_A\\,\\rho_A'\\otimes\\rho_A''$, where $\\rho_A'$ and $\\rho_A''$ are density matrices for the two subsytems. In this Letter, it is shown that a necessary condition for separability is that a matrix, obtained by partial transposition of $\\rho$, has only non-negative eigenvalues. This criterion is stronger than Bell's inequality.","authors_text":"Asher Peres","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"1996-04-08T08:37:37Z","title":"Separability Criterion for Density Matrices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/9604005","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":"sha256:6097654263ce919a1534db3103b3ced9de4be72f20674a688ee9258424f3b716","target":"record","created_at":"2026-05-18T04:22:50Z","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":"a65f20c510438c660acd08a4c979ae7bd7c3a7ad35bd2cb9b7ab9365975aeb4f","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"1996-04-08T08:37:37Z","title_canon_sha256":"e3d792825fb8741526a0b587180df4afd10b6ea70f993e2fa99a386c670688e1"},"schema_version":"1.0","source":{"id":"quant-ph/9604005","kind":"arxiv","version":2}},"canonical_sha256":"fa0bd925d605f4f68ec7230f6e2d5bbc23983c2d7f43f4fba248e81218b2308d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fa0bd925d605f4f68ec7230f6e2d5bbc23983c2d7f43f4fba248e81218b2308d","first_computed_at":"2026-05-18T04:22:50.327400Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:22:50.327400Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"G+lhl+Ohk1xHM/7uuUO8JXYwW+cQCc6fDZnqZulTIGEWp4tqGXGxGZazRes9WL0ZoV9pGgmuIYLMLjdnTaD/Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:22:50.327904Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/9604005","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6097654263ce919a1534db3103b3ced9de4be72f20674a688ee9258424f3b716","sha256:a6bf991ab7beddc1a351891fc61946a0f6cc107493cbc875d745d83a2710a801"],"state_sha256":"a1a0b626d7466a3fcd45095865ae5abac39e80c3a508849c5080ef2ec5b206d4"}