{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:7X6CODRCUKWH5TNWIOGJVKTSVG","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":"2e57403a67d1d5402f5558ffcb1e5d243f446130b121c7bc36cda0f956436471","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2007-02-15T14:32:39Z","title_canon_sha256":"f1e03aafc192613947e1520fb3b2aa54cd218fea72231e6862df473ed1d9bac1"},"schema_version":"1.0","source":{"id":"quant-ph/0702155","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0702155","created_at":"2026-07-04T14:59:38Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0702155v3","created_at":"2026-07-04T14:59:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0702155","created_at":"2026-07-04T14:59:38Z"},{"alias_kind":"pith_short_12","alias_value":"7X6CODRCUKWH","created_at":"2026-07-04T14:59:38Z"},{"alias_kind":"pith_short_16","alias_value":"7X6CODRCUKWH5TNW","created_at":"2026-07-04T14:59:38Z"},{"alias_kind":"pith_short_8","alias_value":"7X6CODRC","created_at":"2026-07-04T14:59:38Z"}],"graph_snapshots":[{"event_id":"sha256:27a2197466cb2f6e939cf7eddbc62ff5fb8b5f3f6a499ca47bc30a05c4e60284","target":"graph","created_at":"2026-07-04T14:59:38Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/quant-ph/0702155/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present an improved protocol for entanglement purification of bipartite mixed states. The protocol requires two-way classical communication and hence implies an improved lower bound on the quantum capacity with two-way classical communication of the quantum depolarizing channel.","authors_text":"Alan W. Leung, Peter W. Shor","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2007-02-15T14:32:39Z","title":"Entanglement purification with two-way classical communication"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0702155","kind":"arxiv","version":3},"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":"sha256:77e7f9075d196f7171592c4a0b2c471b3a71451e7df6e7bdefe876c2c6d3dd02","target":"record","created_at":"2026-07-04T14:59:38Z","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":"2e57403a67d1d5402f5558ffcb1e5d243f446130b121c7bc36cda0f956436471","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2007-02-15T14:32:39Z","title_canon_sha256":"f1e03aafc192613947e1520fb3b2aa54cd218fea72231e6862df473ed1d9bac1"},"schema_version":"1.0","source":{"id":"quant-ph/0702155","kind":"arxiv","version":3}},"canonical_sha256":"fdfc270e22a2ac7ecdb6438c9aaa72a99da008b90bafa6fd920562a26b698ad5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fdfc270e22a2ac7ecdb6438c9aaa72a99da008b90bafa6fd920562a26b698ad5","first_computed_at":"2026-07-04T14:59:38.184568Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:59:38.184568Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RtpRceEoEUrP9ftDFLtsiKEHUsz5gcHzZAcyVJj9Zz1lWlf075WRtquwdxGtWm92COZaXFiRXsijkceEvIYaAw==","signature_status":"signed_v1","signed_at":"2026-07-04T14:59:38.184912Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0702155","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:77e7f9075d196f7171592c4a0b2c471b3a71451e7df6e7bdefe876c2c6d3dd02","sha256:27a2197466cb2f6e939cf7eddbc62ff5fb8b5f3f6a499ca47bc30a05c4e60284"],"state_sha256":"9799615037800ba7345c20e8e13c5e27d54a355fdc553a132837285ba4bde124"}