{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:PDCCLTUROUKDZCMONFRT5G3MXO","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":"7d2533a6900897304c16b01f4e517649d16120e66be3124147d06db39d19cac8","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2003-10-23T14:30:20Z","title_canon_sha256":"17f4e09ad8f5a3056c733856f645fbecc62859b5460907fcadf2fc37f8808327"},"schema_version":"1.0","source":{"id":"quant-ph/0310146","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0310146","created_at":"2026-05-18T00:25:45Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0310146v1","created_at":"2026-05-18T00:25:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0310146","created_at":"2026-05-18T00:25:45Z"},{"alias_kind":"pith_short_12","alias_value":"PDCCLTUROUKD","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"PDCCLTUROUKDZCMO","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"PDCCLTUR","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:51f7f1e4754ad0108f01530ad485f688c5d3f47dea8061bc4926d59c69510a57","target":"graph","created_at":"2026-05-18T00:25:45Z","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":"We give a canonical form of PPT states in ${\\cal C}^2 \\otimes {\\cal C}^2\\otimes {\\cal C}^2 \\otimes {\\cal C}^N$ with rank=$N$. From this canonical form a necessary separable condition for these states is presented.","authors_text":"Ke Wu, S.M. Fei, X.H. Gao, X.H. Wang, Z.X. Wang","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2003-10-23T14:30:20Z","title":"Canonical Form and Separability of PPT States in 2x2x2xN Composite Quantum Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0310146","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":"sha256:9d914b44c4de265935cd38097e65539b595f06efa1ff9cf82701debfad711dde","target":"record","created_at":"2026-05-18T00:25:45Z","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":"7d2533a6900897304c16b01f4e517649d16120e66be3124147d06db39d19cac8","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2003-10-23T14:30:20Z","title_canon_sha256":"17f4e09ad8f5a3056c733856f645fbecc62859b5460907fcadf2fc37f8808327"},"schema_version":"1.0","source":{"id":"quant-ph/0310146","kind":"arxiv","version":1}},"canonical_sha256":"78c425ce9175143c898e69633e9b6cbb993a7654d5c429943c9c13778bf4472a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"78c425ce9175143c898e69633e9b6cbb993a7654d5c429943c9c13778bf4472a","first_computed_at":"2026-05-18T00:25:45.822655Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:25:45.822655Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0Tq4BLlHh9g27W473GmJkR33DXSHGwuqEfLItMobmUSLls/gyJb/W26OK5+RtLjhPEQsic6c9X2cvQm0978RCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:25:45.823379Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0310146","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9d914b44c4de265935cd38097e65539b595f06efa1ff9cf82701debfad711dde","sha256:51f7f1e4754ad0108f01530ad485f688c5d3f47dea8061bc4926d59c69510a57"],"state_sha256":"7ceef66b6e61edd86ff72ce8a974105a7237cc44f3478869dd39e1cca4690608"}