{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:FX62RMWG3OZUEETULBJIOR3BXH","short_pith_number":"pith:FX62RMWG","canonical_record":{"source":{"id":"0709.3835","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2007-09-24T20:11:41Z","cross_cats_sorted":[],"title_canon_sha256":"46def985a2312e7d641f643fb642c97c323a8b9b0bb1735d1bae1ae4076aec93","abstract_canon_sha256":"de20cbfee17c680e74319c1b40f9ae4da483cff11f46eae171d6a8960cfccbac"},"schema_version":"1.0"},"canonical_sha256":"2dfda8b2c6dbb34212745852874761b9d9edb2277aed63ba2a35e91b0c47f1b1","source":{"kind":"arxiv","id":"0709.3835","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0709.3835","created_at":"2026-05-18T03:15:07Z"},{"alias_kind":"arxiv_version","alias_value":"0709.3835v3","created_at":"2026-05-18T03:15:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0709.3835","created_at":"2026-05-18T03:15:07Z"},{"alias_kind":"pith_short_12","alias_value":"FX62RMWG3OZU","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"FX62RMWG3OZUEETU","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"FX62RMWG","created_at":"2026-05-18T12:25:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:FX62RMWG3OZUEETULBJIOR3BXH","target":"record","payload":{"canonical_record":{"source":{"id":"0709.3835","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2007-09-24T20:11:41Z","cross_cats_sorted":[],"title_canon_sha256":"46def985a2312e7d641f643fb642c97c323a8b9b0bb1735d1bae1ae4076aec93","abstract_canon_sha256":"de20cbfee17c680e74319c1b40f9ae4da483cff11f46eae171d6a8960cfccbac"},"schema_version":"1.0"},"canonical_sha256":"2dfda8b2c6dbb34212745852874761b9d9edb2277aed63ba2a35e91b0c47f1b1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:15:07.078273Z","signature_b64":"UC5vts5rsnnmBHQJo0vtH6y0fx50ZSDQ/6lYrv5mpmS+idbtpZnXEjmlEfhmELj4pdXgy1/Q4XoNL/znOHHpAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2dfda8b2c6dbb34212745852874761b9d9edb2277aed63ba2a35e91b0c47f1b1","last_reissued_at":"2026-05-18T03:15:07.077454Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:15:07.077454Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0709.3835","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:15:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xBCOfsislQAHaaenHvwXlQj+BNjscSDUAUG5jfV2Pt0J0ovkVzQ7HkYEF5KavsS0Bj84gOIuYKhnIVU8bhvnBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T01:50:53.719699Z"},"content_sha256":"382de08448eac64e60296c4dbd334780db12c0e93778bd04451ea7b1b9c1d6ba","schema_version":"1.0","event_id":"sha256:382de08448eac64e60296c4dbd334780db12c0e93778bd04451ea7b1b9c1d6ba"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:FX62RMWG3OZUEETULBJIOR3BXH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Correlated entanglement distillation and the structure of the set of undistillable states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Fernando G.S.L. Brandao, Jens Eisert","submitted_at":"2007-09-24T20:11:41Z","abstract_excerpt":"We consider entanglement distillation under the assumption that the input states are allowed to be correlated among each other. We hence replace the usually considered independent and identically-distributed hypothesis by the weaker assumption of merely having identical reductions. We find that whether a state is then distillable or not is only a property of these reductions, and not of the correlations that are present in the input state. This is shown by establishing an appealing relation between the set of copy-correlated undistillable states and the standard set of undistillable states: Th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0709.3835","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T03:15:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n6dq5tbXXC3jkoIZCndkILAltC+ERrTG+q+icxE2tm5mhHy2H3WbQ2aRvc/ogG6yaryv5eYRzR6+LlPPHnSACQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T01:50:53.720353Z"},"content_sha256":"a5b821052fb27c1abea289ae7821e8dcaa7532d784807a546f47a203d23ad2f7","schema_version":"1.0","event_id":"sha256:a5b821052fb27c1abea289ae7821e8dcaa7532d784807a546f47a203d23ad2f7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FX62RMWG3OZUEETULBJIOR3BXH/bundle.json","state_url":"https://pith.science/pith/FX62RMWG3OZUEETULBJIOR3BXH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FX62RMWG3OZUEETULBJIOR3BXH/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":"2026-05-26T01:50:53Z","links":{"resolver":"https://pith.science/pith/FX62RMWG3OZUEETULBJIOR3BXH","bundle":"https://pith.science/pith/FX62RMWG3OZUEETULBJIOR3BXH/bundle.json","state":"https://pith.science/pith/FX62RMWG3OZUEETULBJIOR3BXH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FX62RMWG3OZUEETULBJIOR3BXH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:FX62RMWG3OZUEETULBJIOR3BXH","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":"de20cbfee17c680e74319c1b40f9ae4da483cff11f46eae171d6a8960cfccbac","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2007-09-24T20:11:41Z","title_canon_sha256":"46def985a2312e7d641f643fb642c97c323a8b9b0bb1735d1bae1ae4076aec93"},"schema_version":"1.0","source":{"id":"0709.3835","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0709.3835","created_at":"2026-05-18T03:15:07Z"},{"alias_kind":"arxiv_version","alias_value":"0709.3835v3","created_at":"2026-05-18T03:15:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0709.3835","created_at":"2026-05-18T03:15:07Z"},{"alias_kind":"pith_short_12","alias_value":"FX62RMWG3OZU","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"FX62RMWG3OZUEETU","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"FX62RMWG","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:a5b821052fb27c1abea289ae7821e8dcaa7532d784807a546f47a203d23ad2f7","target":"graph","created_at":"2026-05-18T03:15:07Z","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 consider entanglement distillation under the assumption that the input states are allowed to be correlated among each other. We hence replace the usually considered independent and identically-distributed hypothesis by the weaker assumption of merely having identical reductions. We find that whether a state is then distillable or not is only a property of these reductions, and not of the correlations that are present in the input state. This is shown by establishing an appealing relation between the set of copy-correlated undistillable states and the standard set of undistillable states: Th","authors_text":"Fernando G.S.L. Brandao, Jens Eisert","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2007-09-24T20:11:41Z","title":"Correlated entanglement distillation and the structure of the set of undistillable states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0709.3835","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":"sha256:382de08448eac64e60296c4dbd334780db12c0e93778bd04451ea7b1b9c1d6ba","target":"record","created_at":"2026-05-18T03:15:07Z","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":"de20cbfee17c680e74319c1b40f9ae4da483cff11f46eae171d6a8960cfccbac","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2007-09-24T20:11:41Z","title_canon_sha256":"46def985a2312e7d641f643fb642c97c323a8b9b0bb1735d1bae1ae4076aec93"},"schema_version":"1.0","source":{"id":"0709.3835","kind":"arxiv","version":3}},"canonical_sha256":"2dfda8b2c6dbb34212745852874761b9d9edb2277aed63ba2a35e91b0c47f1b1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2dfda8b2c6dbb34212745852874761b9d9edb2277aed63ba2a35e91b0c47f1b1","first_computed_at":"2026-05-18T03:15:07.077454Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:15:07.077454Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UC5vts5rsnnmBHQJo0vtH6y0fx50ZSDQ/6lYrv5mpmS+idbtpZnXEjmlEfhmELj4pdXgy1/Q4XoNL/znOHHpAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:15:07.078273Z","signed_message":"canonical_sha256_bytes"},"source_id":"0709.3835","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:382de08448eac64e60296c4dbd334780db12c0e93778bd04451ea7b1b9c1d6ba","sha256:a5b821052fb27c1abea289ae7821e8dcaa7532d784807a546f47a203d23ad2f7"],"state_sha256":"9c9b12ddd32ce38cf000467ba9518afbc44a646faacfcf48090af827c0c92799"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Cvlm98ztWU7nJ9W3dXLqmSaOFoltF2YskNoF0mD5zqH/bIM/8eMx84IwX7Nt2WSYFe1V7c4/Spwz3VPKlmpHDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T01:50:53.723931Z","bundle_sha256":"401ee30a54afdba91e2c8299758d6832b2433e8c15633dc465676b200f360e2c"}}