{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:CGSZ7RST4PBHLUJJQZACFLIRWB","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":"60624198400c0c458dbf7805c09a0ac8054410fd0f52513f5504383b41a2ca7a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-02-05T11:29:32Z","title_canon_sha256":"262f3191d70965f354abc12d081020c86414dce1d882fd4b2204ecb96fc06f1d"},"schema_version":"1.0","source":{"id":"0902.0885","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0902.0885","created_at":"2026-05-18T02:14:49Z"},{"alias_kind":"arxiv_version","alias_value":"0902.0885v1","created_at":"2026-05-18T02:14:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0902.0885","created_at":"2026-05-18T02:14:49Z"},{"alias_kind":"pith_short_12","alias_value":"CGSZ7RST4PBH","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"CGSZ7RST4PBHLUJJ","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"CGSZ7RST","created_at":"2026-05-18T12:25:59Z"}],"graph_snapshots":[{"event_id":"sha256:15f8887a638582e5f06adcf94ece346e98973a5c693a93d9369c1d81a1442b4b","target":"graph","created_at":"2026-05-18T02:14:49Z","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":"We provide a new class of positive maps in matrix algebras. The construction is based on the family of balls living in the space of density matrices of n-level quantum system. This class generalizes the celebrated Choi map and provide a wide family of entanglement witnesses which define a basic tool for analyzing quantum entanglement.","authors_text":"Andrzej Kossakowski, Dariusz Chruscinski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-02-05T11:29:32Z","title":"Geometry of quantum states: new construction of positive maps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0902.0885","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:eefdb539b8fcc6f863aeb7d64ab1831ed0a5af547d4ffac8240bf79dafdbea07","target":"record","created_at":"2026-05-18T02:14:49Z","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":"60624198400c0c458dbf7805c09a0ac8054410fd0f52513f5504383b41a2ca7a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-02-05T11:29:32Z","title_canon_sha256":"262f3191d70965f354abc12d081020c86414dce1d882fd4b2204ecb96fc06f1d"},"schema_version":"1.0","source":{"id":"0902.0885","kind":"arxiv","version":1}},"canonical_sha256":"11a59fc653e3c275d129864022ad11b04e0215b0a8320a660545440670340832","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"11a59fc653e3c275d129864022ad11b04e0215b0a8320a660545440670340832","first_computed_at":"2026-05-18T02:14:49.179093Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:14:49.179093Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"H3yLVHEd1r8sY3jy3DzhxIYXRs5r6BekbwXwUjbRHyjMZB8/3fDElEDaXl9FMLcG8klp8oCExpgbbfxMYDkmAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:14:49.179491Z","signed_message":"canonical_sha256_bytes"},"source_id":"0902.0885","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eefdb539b8fcc6f863aeb7d64ab1831ed0a5af547d4ffac8240bf79dafdbea07","sha256:15f8887a638582e5f06adcf94ece346e98973a5c693a93d9369c1d81a1442b4b"],"state_sha256":"b8d6eafa2fb795075b84959cc9ca4ad9484ecc7bd527611d2754d9381b266839"}