{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:FSQE3ICMZMVTCKB4UPERVKBRIC","short_pith_number":"pith:FSQE3ICM","canonical_record":{"source":{"id":"1601.00966","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-01-05T21:00:01Z","cross_cats_sorted":["cond-mat.other","math-ph","math.MP","physics.optics"],"title_canon_sha256":"9a3b4bd0651bd3388d12f12dd3c053ddf64a84481618bcfd49f04387d2dc9b67","abstract_canon_sha256":"b47acba68b82aba729b075158b364c9bac672199a589ea0aeb4bccb4c78b23d7"},"schema_version":"1.0"},"canonical_sha256":"2ca04da04ccb2b31283ca3c91aa83140b35b5fad95d3bf8b517e6169137d9dae","source":{"kind":"arxiv","id":"1601.00966","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.00966","created_at":"2026-05-18T00:37:58Z"},{"alias_kind":"arxiv_version","alias_value":"1601.00966v4","created_at":"2026-05-18T00:37:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.00966","created_at":"2026-05-18T00:37:58Z"},{"alias_kind":"pith_short_12","alias_value":"FSQE3ICMZMVT","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FSQE3ICMZMVTCKB4","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FSQE3ICM","created_at":"2026-05-18T12:30:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:FSQE3ICMZMVTCKB4UPERVKBRIC","target":"record","payload":{"canonical_record":{"source":{"id":"1601.00966","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-01-05T21:00:01Z","cross_cats_sorted":["cond-mat.other","math-ph","math.MP","physics.optics"],"title_canon_sha256":"9a3b4bd0651bd3388d12f12dd3c053ddf64a84481618bcfd49f04387d2dc9b67","abstract_canon_sha256":"b47acba68b82aba729b075158b364c9bac672199a589ea0aeb4bccb4c78b23d7"},"schema_version":"1.0"},"canonical_sha256":"2ca04da04ccb2b31283ca3c91aa83140b35b5fad95d3bf8b517e6169137d9dae","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:37:58.750708Z","signature_b64":"phbDIrCHNg5FOQKBBEFn+4Kt+BM67YLJGRf6scAsJIBXYGpahm+5plFfCv5GA9D5SRznqaYycwcIjgiuIBBdAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2ca04da04ccb2b31283ca3c91aa83140b35b5fad95d3bf8b517e6169137d9dae","last_reissued_at":"2026-05-18T00:37:58.750282Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:37:58.750282Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1601.00966","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:37:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k+Vn0kqT+GVtaZQcwO/K+68yHrD8UL4e3qv24w77QiAbX3B9BOYq6EyorkNJn4DaWg1av+OJw2CUhHgRP/liAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T15:11:57.371969Z"},"content_sha256":"f7b88f44a9c57b5a13d57f1a155bf58b10456e56beffa26fa95f15369829e891","schema_version":"1.0","event_id":"sha256:f7b88f44a9c57b5a13d57f1a155bf58b10456e56beffa26fa95f15369829e891"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:FSQE3ICMZMVTCKB4UPERVKBRIC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Capacities of repeater-assisted quantum communications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other","math-ph","math.MP","physics.optics"],"primary_cat":"quant-ph","authors_text":"Stefano Pirandola","submitted_at":"2016-01-05T21:00:01Z","abstract_excerpt":"We consider quantum and private communications assisted by repeaters, from the basic scenario of a single repeater chain to the general case of an arbitrarily-complex quantum network, where systems may be routed through single or multiple paths. In this context, we investigate the ultimate rates at which two end-parties may transmit quantum information, distribute entanglement, or generate secret keys. These end-to-end capacities are defined by optimizing over the most general adaptive protocols that are allowed by quantum mechanics. Combining techniques from quantum information and classical "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.00966","kind":"arxiv","version":4},"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":"2026-05-18T00:37:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T0xZ3rFw13WcwcYVHM2oSzGLVFdTsz8AXLow3aKLKGWku98+56KL6l69bEPuS7CdIeWV4bg/7MrO/t2QeXV8Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T15:11:57.372478Z"},"content_sha256":"87cbe472bec5659f5a41e581d8a7cede3c86c480677f8795c4bed9908b61fe84","schema_version":"1.0","event_id":"sha256:87cbe472bec5659f5a41e581d8a7cede3c86c480677f8795c4bed9908b61fe84"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FSQE3ICMZMVTCKB4UPERVKBRIC/bundle.json","state_url":"https://pith.science/pith/FSQE3ICMZMVTCKB4UPERVKBRIC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FSQE3ICMZMVTCKB4UPERVKBRIC/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":"2026-08-12T15:11:57Z","links":{"resolver":"https://pith.science/pith/FSQE3ICMZMVTCKB4UPERVKBRIC","bundle":"https://pith.science/pith/FSQE3ICMZMVTCKB4UPERVKBRIC/bundle.json","state":"https://pith.science/pith/FSQE3ICMZMVTCKB4UPERVKBRIC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FSQE3ICMZMVTCKB4UPERVKBRIC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:FSQE3ICMZMVTCKB4UPERVKBRIC","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":"b47acba68b82aba729b075158b364c9bac672199a589ea0aeb4bccb4c78b23d7","cross_cats_sorted":["cond-mat.other","math-ph","math.MP","physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-01-05T21:00:01Z","title_canon_sha256":"9a3b4bd0651bd3388d12f12dd3c053ddf64a84481618bcfd49f04387d2dc9b67"},"schema_version":"1.0","source":{"id":"1601.00966","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.00966","created_at":"2026-05-18T00:37:58Z"},{"alias_kind":"arxiv_version","alias_value":"1601.00966v4","created_at":"2026-05-18T00:37:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.00966","created_at":"2026-05-18T00:37:58Z"},{"alias_kind":"pith_short_12","alias_value":"FSQE3ICMZMVT","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FSQE3ICMZMVTCKB4","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FSQE3ICM","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:87cbe472bec5659f5a41e581d8a7cede3c86c480677f8795c4bed9908b61fe84","target":"graph","created_at":"2026-05-18T00:37:58Z","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 quantum and private communications assisted by repeaters, from the basic scenario of a single repeater chain to the general case of an arbitrarily-complex quantum network, where systems may be routed through single or multiple paths. In this context, we investigate the ultimate rates at which two end-parties may transmit quantum information, distribute entanglement, or generate secret keys. These end-to-end capacities are defined by optimizing over the most general adaptive protocols that are allowed by quantum mechanics. Combining techniques from quantum information and classical ","authors_text":"Stefano Pirandola","cross_cats":["cond-mat.other","math-ph","math.MP","physics.optics"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-01-05T21:00:01Z","title":"Capacities of repeater-assisted quantum communications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.00966","kind":"arxiv","version":4},"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:f7b88f44a9c57b5a13d57f1a155bf58b10456e56beffa26fa95f15369829e891","target":"record","created_at":"2026-05-18T00:37:58Z","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":"b47acba68b82aba729b075158b364c9bac672199a589ea0aeb4bccb4c78b23d7","cross_cats_sorted":["cond-mat.other","math-ph","math.MP","physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-01-05T21:00:01Z","title_canon_sha256":"9a3b4bd0651bd3388d12f12dd3c053ddf64a84481618bcfd49f04387d2dc9b67"},"schema_version":"1.0","source":{"id":"1601.00966","kind":"arxiv","version":4}},"canonical_sha256":"2ca04da04ccb2b31283ca3c91aa83140b35b5fad95d3bf8b517e6169137d9dae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2ca04da04ccb2b31283ca3c91aa83140b35b5fad95d3bf8b517e6169137d9dae","first_computed_at":"2026-05-18T00:37:58.750282Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:37:58.750282Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"phbDIrCHNg5FOQKBBEFn+4Kt+BM67YLJGRf6scAsJIBXYGpahm+5plFfCv5GA9D5SRznqaYycwcIjgiuIBBdAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:37:58.750708Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.00966","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f7b88f44a9c57b5a13d57f1a155bf58b10456e56beffa26fa95f15369829e891","sha256:87cbe472bec5659f5a41e581d8a7cede3c86c480677f8795c4bed9908b61fe84"],"state_sha256":"871c65a493b91c5b12b62838971c79748fd98f83eeb6e45d405e49be3a32da5b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Bo8B37Uwan96/El6+3t8/epO75bAU0BC/u0WL4jwB8N9/nwcrqI4vM2mpNBP6VJ2F0TP4/f/GuhmodmiOGNuCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T15:11:57.382360Z","bundle_sha256":"7ace717cff5a79e19e46dfb50556e12b519034df6ba40c3ae379156cdb92b32c"}}