{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2000:NFV3O4QYT3DWU7S3XIGKW2FGHY","short_pith_number":"pith:NFV3O4QY","canonical_record":{"source":{"id":"quant-ph/0008047","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2000-08-10T02:17:36Z","cross_cats_sorted":[],"title_canon_sha256":"be6f51a4dd51ba31e434811bed02382ed0b3be54dce3aeb6decd4cc112dfc57c","abstract_canon_sha256":"c5024706179ee8e24b9a08c961768f157e9941389c855111846b15a6670593ff"},"schema_version":"1.0"},"canonical_sha256":"696bb772189ec76a7e5bba0cab68a63e37af84ed5aabf73428bcd159db4a6309","source":{"kind":"arxiv","id":"quant-ph/0008047","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0008047","created_at":"2026-07-04T14:45:30Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0008047v2","created_at":"2026-07-04T14:45:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0008047","created_at":"2026-07-04T14:45:30Z"},{"alias_kind":"pith_short_12","alias_value":"NFV3O4QYT3DW","created_at":"2026-07-04T14:45:30Z"},{"alias_kind":"pith_short_16","alias_value":"NFV3O4QYT3DWU7S3","created_at":"2026-07-04T14:45:30Z"},{"alias_kind":"pith_short_8","alias_value":"NFV3O4QY","created_at":"2026-07-04T14:45:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2000:NFV3O4QYT3DWU7S3XIGKW2FGHY","target":"record","payload":{"canonical_record":{"source":{"id":"quant-ph/0008047","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2000-08-10T02:17:36Z","cross_cats_sorted":[],"title_canon_sha256":"be6f51a4dd51ba31e434811bed02382ed0b3be54dce3aeb6decd4cc112dfc57c","abstract_canon_sha256":"c5024706179ee8e24b9a08c961768f157e9941389c855111846b15a6670593ff"},"schema_version":"1.0"},"canonical_sha256":"696bb772189ec76a7e5bba0cab68a63e37af84ed5aabf73428bcd159db4a6309","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:45:30.876594Z","signature_b64":"omCRm9i6OiUu5vvIUIR6GGoi2YDAKEuMOLi0RgNJ0BS7P0FZNPxQ0SghyKF4gcLl5Y3KkhgGZSbXl7Ie2L3CBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"696bb772189ec76a7e5bba0cab68a63e37af84ed5aabf73428bcd159db4a6309","last_reissued_at":"2026-07-04T14:45:30.876223Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:45:30.876223Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"quant-ph/0008047","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T14:45:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A/G7oj15eenOZFY483HU6poWweZ60rLfarm+4cLb5/2aNiq/2NEDIh2rdv+ChZcMSbIbiQ8i1BjxEuodmbDSDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T17:10:20.192207Z"},"content_sha256":"a390ebfb1af9db6c138d3cd92aa235c78fa08a8f37f889a9b3d1a682c7485082","schema_version":"1.0","event_id":"sha256:a390ebfb1af9db6c138d3cd92aa235c78fa08a8f37f889a9b3d1a682c7485082"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2000:NFV3O4QYT3DWU7S3XIGKW2FGHY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A semidefinite program for distillable entanglement","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Eric M. Rains","submitted_at":"2000-08-10T02:17:36Z","abstract_excerpt":"We show that the maximum fidelity obtained by a p.p.t. distillation protocol is given by the solution to a certain semidefinite program. This gives a number of new lower and upper bounds on p.p.t. distillable entanglement (and thus new upper bounds on 2-locally distillable entanglement). In the presence of symmetry, the semidefinite program simplifies considerably, becoming a linear program in the case of isotropic and Werner states. Using these techniques, we determine the p.p.t. distillable entanglement of asymmetric Werner states and ``maximally correlated'' states. We conclude with a discu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0008047","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/quant-ph/0008047/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T14:45:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FNKAUR5rZFJ9fbjDXxA+MG6rog+jLmHLs02DICWwVAZfIORrW9JOwZ5eBGSMUnUlU03sBmrx5xqLBS2KN2nYDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T17:10:20.192742Z"},"content_sha256":"3d5ffda55a4726e3caf8060d620742308b70080419a0689efd6b8b255aad5e00","schema_version":"1.0","event_id":"sha256:3d5ffda55a4726e3caf8060d620742308b70080419a0689efd6b8b255aad5e00"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NFV3O4QYT3DWU7S3XIGKW2FGHY/bundle.json","state_url":"https://pith.science/pith/NFV3O4QYT3DWU7S3XIGKW2FGHY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NFV3O4QYT3DWU7S3XIGKW2FGHY/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-03T17:10:20Z","links":{"resolver":"https://pith.science/pith/NFV3O4QYT3DWU7S3XIGKW2FGHY","bundle":"https://pith.science/pith/NFV3O4QYT3DWU7S3XIGKW2FGHY/bundle.json","state":"https://pith.science/pith/NFV3O4QYT3DWU7S3XIGKW2FGHY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NFV3O4QYT3DWU7S3XIGKW2FGHY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:NFV3O4QYT3DWU7S3XIGKW2FGHY","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":"c5024706179ee8e24b9a08c961768f157e9941389c855111846b15a6670593ff","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2000-08-10T02:17:36Z","title_canon_sha256":"be6f51a4dd51ba31e434811bed02382ed0b3be54dce3aeb6decd4cc112dfc57c"},"schema_version":"1.0","source":{"id":"quant-ph/0008047","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0008047","created_at":"2026-07-04T14:45:30Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0008047v2","created_at":"2026-07-04T14:45:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0008047","created_at":"2026-07-04T14:45:30Z"},{"alias_kind":"pith_short_12","alias_value":"NFV3O4QYT3DW","created_at":"2026-07-04T14:45:30Z"},{"alias_kind":"pith_short_16","alias_value":"NFV3O4QYT3DWU7S3","created_at":"2026-07-04T14:45:30Z"},{"alias_kind":"pith_short_8","alias_value":"NFV3O4QY","created_at":"2026-07-04T14:45:30Z"}],"graph_snapshots":[{"event_id":"sha256:3d5ffda55a4726e3caf8060d620742308b70080419a0689efd6b8b255aad5e00","target":"graph","created_at":"2026-07-04T14:45:30Z","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/0008047/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show that the maximum fidelity obtained by a p.p.t. distillation protocol is given by the solution to a certain semidefinite program. This gives a number of new lower and upper bounds on p.p.t. distillable entanglement (and thus new upper bounds on 2-locally distillable entanglement). In the presence of symmetry, the semidefinite program simplifies considerably, becoming a linear program in the case of isotropic and Werner states. Using these techniques, we determine the p.p.t. distillable entanglement of asymmetric Werner states and ``maximally correlated'' states. We conclude with a discu","authors_text":"Eric M. Rains","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2000-08-10T02:17:36Z","title":"A semidefinite program for distillable entanglement"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0008047","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:a390ebfb1af9db6c138d3cd92aa235c78fa08a8f37f889a9b3d1a682c7485082","target":"record","created_at":"2026-07-04T14:45:30Z","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":"c5024706179ee8e24b9a08c961768f157e9941389c855111846b15a6670593ff","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2000-08-10T02:17:36Z","title_canon_sha256":"be6f51a4dd51ba31e434811bed02382ed0b3be54dce3aeb6decd4cc112dfc57c"},"schema_version":"1.0","source":{"id":"quant-ph/0008047","kind":"arxiv","version":2}},"canonical_sha256":"696bb772189ec76a7e5bba0cab68a63e37af84ed5aabf73428bcd159db4a6309","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"696bb772189ec76a7e5bba0cab68a63e37af84ed5aabf73428bcd159db4a6309","first_computed_at":"2026-07-04T14:45:30.876223Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:45:30.876223Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"omCRm9i6OiUu5vvIUIR6GGoi2YDAKEuMOLi0RgNJ0BS7P0FZNPxQ0SghyKF4gcLl5Y3KkhgGZSbXl7Ie2L3CBw==","signature_status":"signed_v1","signed_at":"2026-07-04T14:45:30.876594Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0008047","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a390ebfb1af9db6c138d3cd92aa235c78fa08a8f37f889a9b3d1a682c7485082","sha256:3d5ffda55a4726e3caf8060d620742308b70080419a0689efd6b8b255aad5e00"],"state_sha256":"10dd90cc85f443feffe12ed565511f571f0491c91cdf09a3154121e6aef89488"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r041v+n73h2flNmA+/lsouGFAsWOXUSo1l3cHLmLkNmhhSpE22DsNCIwXN9fuaafBOY+wxB2Q6xhnTsvf5FnDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T17:10:20.198196Z","bundle_sha256":"b543a35d71060e55a3c02c6d3515c7343c351527f1a3abce1be5f6fa60bfc9ee"}}