{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1996:73V5VQB564ZEAE75XIS6ARYEUN","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":"8c5e768c29ba132511a5d31d372ff0c49dfb5a72bb9e41f1d940c59ec52933f0","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"1996-04-23T06:32:41Z","title_canon_sha256":"ec59fa5b310b587da42a575b8cdd5c4407748f28b860020328205ba529a07185"},"schema_version":"1.0","source":{"id":"quant-ph/9604024","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/9604024","created_at":"2026-07-04T15:34:53Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/9604024v2","created_at":"2026-07-04T15:34:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/9604024","created_at":"2026-07-04T15:34:53Z"},{"alias_kind":"pith_short_12","alias_value":"73V5VQB564ZE","created_at":"2026-07-04T15:34:53Z"},{"alias_kind":"pith_short_16","alias_value":"73V5VQB564ZEAE75","created_at":"2026-07-04T15:34:53Z"},{"alias_kind":"pith_short_8","alias_value":"73V5VQB5","created_at":"2026-07-04T15:34:53Z"}],"graph_snapshots":[{"event_id":"sha256:bb9b572d1874bbc7ee71a0ddab0485ceb8455d19e17e0ac778f303881d50ef9e","target":"graph","created_at":"2026-07-04T15:34:53Z","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/9604024/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Entanglement purification protocols (EPP) and quantum error-correcting codes (QECC) provide two ways of protecting quantum states from interaction with the environment. In an EPP, perfectly entangled pure states are extracted, with some yield D, from a mixed state M shared by two parties; with a QECC, an arbi- trary quantum state $|\\xi\\rangle$ can be transmitted at some rate Q through a noisy channel $\\chi$ without degradation. We prove that an EPP involving one- way classical communication and acting on mixed state $\\hat{M}(\\chi)$ (obtained by sharing halves of EPR pairs through a channel $\\c","authors_text":"Charles H. Bennett, David P. DiVincenzo, John A. Smolin, William K. Wootters","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"1996-04-23T06:32:41Z","title":"Mixed State Entanglement and Quantum Error Correction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/9604024","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":"sha256:75af64d9930dce26ed8abd41bc521f1f64a8b76827e5dc47c382796463855797","target":"record","created_at":"2026-07-04T15:34:53Z","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":"8c5e768c29ba132511a5d31d372ff0c49dfb5a72bb9e41f1d940c59ec52933f0","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"1996-04-23T06:32:41Z","title_canon_sha256":"ec59fa5b310b587da42a575b8cdd5c4407748f28b860020328205ba529a07185"},"schema_version":"1.0","source":{"id":"quant-ph/9604024","kind":"arxiv","version":2}},"canonical_sha256":"feebdac03df7324013fdba25e04704a36a91b863c2c20312bf362814a6f58d1f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"feebdac03df7324013fdba25e04704a36a91b863c2c20312bf362814a6f58d1f","first_computed_at":"2026-07-04T15:34:53.279053Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:34:53.279053Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MuvzzsxOgV/5h9n87iTExX0tTADxusPXyl++ctmBLDQ/RmWIEZRIxvRGzOAbbQshhTxROD3ypvaEDTymqC0JAQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:34:53.279464Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/9604024","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:75af64d9930dce26ed8abd41bc521f1f64a8b76827e5dc47c382796463855797","sha256:bb9b572d1874bbc7ee71a0ddab0485ceb8455d19e17e0ac778f303881d50ef9e"],"state_sha256":"18a6c56dab8bc9b2e2c7acb1b22de6bdb717c6a1cf26a364fa144fabe7032859"}