{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:XD5W7QNBUG3ILCD4K3EU64I73M","short_pith_number":"pith:XD5W7QNB","canonical_record":{"source":{"id":"1610.06381","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-10-20T12:35:23Z","cross_cats_sorted":[],"title_canon_sha256":"663e9364cf9cc0028853848e4e3334da8aa9988ed1ee86cc07f735264e8e4a39","abstract_canon_sha256":"4ce246971f8afbf81fdc8831f8a34eeed0a51e31eba7523b05c60c9402e604ba"},"schema_version":"1.0"},"canonical_sha256":"b8fb6fc1a1a1b685887c56c94f711fdb1ab84aa0db737eed5b21b547758bbf3a","source":{"kind":"arxiv","id":"1610.06381","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.06381","created_at":"2026-05-18T00:10:52Z"},{"alias_kind":"arxiv_version","alias_value":"1610.06381v4","created_at":"2026-05-18T00:10:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.06381","created_at":"2026-05-18T00:10:52Z"},{"alias_kind":"pith_short_12","alias_value":"XD5W7QNBUG3I","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"XD5W7QNBUG3ILCD4","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"XD5W7QNB","created_at":"2026-05-18T12:30:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:XD5W7QNBUG3ILCD4K3EU64I73M","target":"record","payload":{"canonical_record":{"source":{"id":"1610.06381","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-10-20T12:35:23Z","cross_cats_sorted":[],"title_canon_sha256":"663e9364cf9cc0028853848e4e3334da8aa9988ed1ee86cc07f735264e8e4a39","abstract_canon_sha256":"4ce246971f8afbf81fdc8831f8a34eeed0a51e31eba7523b05c60c9402e604ba"},"schema_version":"1.0"},"canonical_sha256":"b8fb6fc1a1a1b685887c56c94f711fdb1ab84aa0db737eed5b21b547758bbf3a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:10:52.372642Z","signature_b64":"KQM9gVXs8eXEij5+7998i8pyyNqtYJUPK+yimW7XFFtL50JIHC0RuZ04SQJdO3dnjGw+vOmG9lSUK6o/EDm3DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b8fb6fc1a1a1b685887c56c94f711fdb1ab84aa0db737eed5b21b547758bbf3a","last_reissued_at":"2026-05-18T00:10:52.372046Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:10:52.372046Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1610.06381","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":"2026-05-18T00:10:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EFU8vBAgh7w/8FVCT2JcjnkqnoD5m/MlXEjrAbQ4YrMACmFQ/SSc2kucBSb6EOrxBROpp/+3g/02FLQsqy6sBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T19:16:34.026301Z"},"content_sha256":"18ba095c221e91a9c62789f8576f9e7f722321c175ff4f801ad66d590abbf43b","schema_version":"1.0","event_id":"sha256:18ba095c221e91a9c62789f8576f9e7f722321c175ff4f801ad66d590abbf43b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:XD5W7QNBUG3ILCD4K3EU64I73M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Semidefinite programming strong converse bounds for classical capacity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Runyao Duan, Wei Xie, Xin Wang","submitted_at":"2016-10-20T12:35:23Z","abstract_excerpt":"We investigate the classical communication over quantum channels when assisted by no-signaling (NS) and positive-partial-transpose-preserving (PPT) codes, for which both the optimal success probability of a given transmission rate and the one-shot $\\epsilon$-error capacity are formalized as semidefinite programs (SDPs). Based on this, we obtain improved SDP finite blocklength converse bounds of general quantum channels for entanglement-assisted codes and unassisted codes. Furthermore, we derive two SDP strong converse bounds for the classical capacity of general quantum channels: for any code "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.06381","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":"2026-05-18T00:10:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JQsZQmbubkPCNok6ezD/i/7YOeKc0lPoTiYgqhX51wQXSrUgn8i4We1TnEB1TghJHwIc13f4oyqX8i7OgC+GDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T19:16:34.026667Z"},"content_sha256":"7f96fbca1a2ca4c3c392ad271e7b4be7202d589c0ab6765f7704d98a83f78a6c","schema_version":"1.0","event_id":"sha256:7f96fbca1a2ca4c3c392ad271e7b4be7202d589c0ab6765f7704d98a83f78a6c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XD5W7QNBUG3ILCD4K3EU64I73M/bundle.json","state_url":"https://pith.science/pith/XD5W7QNBUG3ILCD4K3EU64I73M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XD5W7QNBUG3ILCD4K3EU64I73M/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":"2026-06-03T19:16:34Z","links":{"resolver":"https://pith.science/pith/XD5W7QNBUG3ILCD4K3EU64I73M","bundle":"https://pith.science/pith/XD5W7QNBUG3ILCD4K3EU64I73M/bundle.json","state":"https://pith.science/pith/XD5W7QNBUG3ILCD4K3EU64I73M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XD5W7QNBUG3ILCD4K3EU64I73M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:XD5W7QNBUG3ILCD4K3EU64I73M","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":"4ce246971f8afbf81fdc8831f8a34eeed0a51e31eba7523b05c60c9402e604ba","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-10-20T12:35:23Z","title_canon_sha256":"663e9364cf9cc0028853848e4e3334da8aa9988ed1ee86cc07f735264e8e4a39"},"schema_version":"1.0","source":{"id":"1610.06381","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.06381","created_at":"2026-05-18T00:10:52Z"},{"alias_kind":"arxiv_version","alias_value":"1610.06381v4","created_at":"2026-05-18T00:10:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.06381","created_at":"2026-05-18T00:10:52Z"},{"alias_kind":"pith_short_12","alias_value":"XD5W7QNBUG3I","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"XD5W7QNBUG3ILCD4","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"XD5W7QNB","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:7f96fbca1a2ca4c3c392ad271e7b4be7202d589c0ab6765f7704d98a83f78a6c","target":"graph","created_at":"2026-05-18T00:10:52Z","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 investigate the classical communication over quantum channels when assisted by no-signaling (NS) and positive-partial-transpose-preserving (PPT) codes, for which both the optimal success probability of a given transmission rate and the one-shot $\\epsilon$-error capacity are formalized as semidefinite programs (SDPs). Based on this, we obtain improved SDP finite blocklength converse bounds of general quantum channels for entanglement-assisted codes and unassisted codes. Furthermore, we derive two SDP strong converse bounds for the classical capacity of general quantum channels: for any code ","authors_text":"Runyao Duan, Wei Xie, Xin Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-10-20T12:35:23Z","title":"Semidefinite programming strong converse bounds for classical capacity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.06381","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":"sha256:18ba095c221e91a9c62789f8576f9e7f722321c175ff4f801ad66d590abbf43b","target":"record","created_at":"2026-05-18T00:10:52Z","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":"4ce246971f8afbf81fdc8831f8a34eeed0a51e31eba7523b05c60c9402e604ba","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-10-20T12:35:23Z","title_canon_sha256":"663e9364cf9cc0028853848e4e3334da8aa9988ed1ee86cc07f735264e8e4a39"},"schema_version":"1.0","source":{"id":"1610.06381","kind":"arxiv","version":4}},"canonical_sha256":"b8fb6fc1a1a1b685887c56c94f711fdb1ab84aa0db737eed5b21b547758bbf3a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b8fb6fc1a1a1b685887c56c94f711fdb1ab84aa0db737eed5b21b547758bbf3a","first_computed_at":"2026-05-18T00:10:52.372046Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:10:52.372046Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KQM9gVXs8eXEij5+7998i8pyyNqtYJUPK+yimW7XFFtL50JIHC0RuZ04SQJdO3dnjGw+vOmG9lSUK6o/EDm3DA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:10:52.372642Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.06381","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:18ba095c221e91a9c62789f8576f9e7f722321c175ff4f801ad66d590abbf43b","sha256:7f96fbca1a2ca4c3c392ad271e7b4be7202d589c0ab6765f7704d98a83f78a6c"],"state_sha256":"f1a6976a014a287c1cb6613276add9333d3ddcc4188541ee3f598ed6d804ed1f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uutx//UsagxhAAWRtAFreXm+TdDjW4d4imdwVkAspjozppggVDigk1UG9ax8ek2JNECW+sI6whEMV25aqCGCCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T19:16:34.028670Z","bundle_sha256":"ffab1b8fda6be0f0231d957c68e705e5ccddeb513bdd711826fa4483b45a0517"}}