{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:NNZM4WOXK2EQTCQQQ75ZJCQF76","short_pith_number":"pith:NNZM4WOX","canonical_record":{"source":{"id":"2203.17216","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"quant-ph","submitted_at":"2022-03-31T17:43:34Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"1ffefb83a5ec845b2bc830a8eda08203150e1535589416da3ad3c52539b5aed4","abstract_canon_sha256":"4a433d27f3e6aafccb8adb59319502976a927da868c8e936020ec99b5e445c58"},"schema_version":"1.0"},"canonical_sha256":"6b72ce59d75689098a1087fb948a05ffa69b6ab03e2f0162ea2affc8c1369896","source":{"kind":"arxiv","id":"2203.17216","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2203.17216","created_at":"2026-07-05T04:10:32Z"},{"alias_kind":"arxiv_version","alias_value":"2203.17216v1","created_at":"2026-07-05T04:10:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2203.17216","created_at":"2026-07-05T04:10:32Z"},{"alias_kind":"pith_short_12","alias_value":"NNZM4WOXK2EQ","created_at":"2026-07-05T04:10:32Z"},{"alias_kind":"pith_short_16","alias_value":"NNZM4WOXK2EQTCQQ","created_at":"2026-07-05T04:10:32Z"},{"alias_kind":"pith_short_8","alias_value":"NNZM4WOX","created_at":"2026-07-05T04:10:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:NNZM4WOXK2EQTCQQQ75ZJCQF76","target":"record","payload":{"canonical_record":{"source":{"id":"2203.17216","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"quant-ph","submitted_at":"2022-03-31T17:43:34Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"1ffefb83a5ec845b2bc830a8eda08203150e1535589416da3ad3c52539b5aed4","abstract_canon_sha256":"4a433d27f3e6aafccb8adb59319502976a927da868c8e936020ec99b5e445c58"},"schema_version":"1.0"},"canonical_sha256":"6b72ce59d75689098a1087fb948a05ffa69b6ab03e2f0162ea2affc8c1369896","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:10:32.502825Z","signature_b64":"yW9amLUdZO8LKwr6kjn5QVDTuPZhhLC52XWKVB9YrCGXQAMBKFn1KigZssxjXAYziuxE67JkbnQWin8yc3eDAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6b72ce59d75689098a1087fb948a05ffa69b6ab03e2f0162ea2affc8c1369896","last_reissued_at":"2026-07-05T04:10:32.502258Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:10:32.502258Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2203.17216","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T04:10:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LO0btj/cf9zep6mtBrVgvEY3OkE0n7UtDESBvDMstibm/daW//c2SIr0axfGDgYN+u8J08fsmth5LQvi1YnFDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T19:42:21.174720Z"},"content_sha256":"d1069589df012dce9ec37e439f8cd45f7125a00790cad8ad0d1459af244a9907","schema_version":"1.0","event_id":"sha256:d1069589df012dce9ec37e439f8cd45f7125a00790cad8ad0d1459af244a9907"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:NNZM4WOXK2EQTCQQQ75ZJCQF76","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Distance bounds for generalized bicycle codes","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Leonid P. Pryadko, Renyu Wang","submitted_at":"2022-03-31T17:43:34Z","abstract_excerpt":"Generalized bicycle (GB) codes is a class of quantum error-correcting codes constructed from a pair of binary circulant matrices. Unlike for other simple quantum code ans\\\"atze, unrestricted GB codes may have linear distance scaling. In addition, low-density parity-check GB codes have a naturally overcomplete set of low-weight stabilizer generators, which is expected to improve their performance in the presence of syndrome measurement errors. For such GB codes with a given maximum generator weight $w$, we constructed upper distance bounds by mapping them to codes local in $D\\le w-1$ dimensions"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2203.17216","kind":"arxiv","version":1},"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/2203.17216/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":"2026-07-05T04:10:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DtYvVzgrSeuNqRQmKgZp++Ltj9MSW5hXiddfdK7ow9fEj+k9qrY6jrkJxoT1ElA0FZ9oYWy3fbseSJyVLt52AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T19:42:21.175220Z"},"content_sha256":"0660d112273f6329580ccd2490c20c139c2ba89da165d17b982380f3768cb149","schema_version":"1.0","event_id":"sha256:0660d112273f6329580ccd2490c20c139c2ba89da165d17b982380f3768cb149"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NNZM4WOXK2EQTCQQQ75ZJCQF76/bundle.json","state_url":"https://pith.science/pith/NNZM4WOXK2EQTCQQQ75ZJCQF76/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NNZM4WOXK2EQTCQQQ75ZJCQF76/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":"2026-08-08T19:42:21Z","links":{"resolver":"https://pith.science/pith/NNZM4WOXK2EQTCQQQ75ZJCQF76","bundle":"https://pith.science/pith/NNZM4WOXK2EQTCQQQ75ZJCQF76/bundle.json","state":"https://pith.science/pith/NNZM4WOXK2EQTCQQQ75ZJCQF76/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NNZM4WOXK2EQTCQQQ75ZJCQF76/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:NNZM4WOXK2EQTCQQQ75ZJCQF76","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":"4a433d27f3e6aafccb8adb59319502976a927da868c8e936020ec99b5e445c58","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"quant-ph","submitted_at":"2022-03-31T17:43:34Z","title_canon_sha256":"1ffefb83a5ec845b2bc830a8eda08203150e1535589416da3ad3c52539b5aed4"},"schema_version":"1.0","source":{"id":"2203.17216","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2203.17216","created_at":"2026-07-05T04:10:32Z"},{"alias_kind":"arxiv_version","alias_value":"2203.17216v1","created_at":"2026-07-05T04:10:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2203.17216","created_at":"2026-07-05T04:10:32Z"},{"alias_kind":"pith_short_12","alias_value":"NNZM4WOXK2EQ","created_at":"2026-07-05T04:10:32Z"},{"alias_kind":"pith_short_16","alias_value":"NNZM4WOXK2EQTCQQ","created_at":"2026-07-05T04:10:32Z"},{"alias_kind":"pith_short_8","alias_value":"NNZM4WOX","created_at":"2026-07-05T04:10:32Z"}],"graph_snapshots":[{"event_id":"sha256:0660d112273f6329580ccd2490c20c139c2ba89da165d17b982380f3768cb149","target":"graph","created_at":"2026-07-05T04:10:32Z","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/2203.17216/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Generalized bicycle (GB) codes is a class of quantum error-correcting codes constructed from a pair of binary circulant matrices. Unlike for other simple quantum code ans\\\"atze, unrestricted GB codes may have linear distance scaling. In addition, low-density parity-check GB codes have a naturally overcomplete set of low-weight stabilizer generators, which is expected to improve their performance in the presence of syndrome measurement errors. For such GB codes with a given maximum generator weight $w$, we constructed upper distance bounds by mapping them to codes local in $D\\le w-1$ dimensions","authors_text":"Leonid P. Pryadko, Renyu Wang","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"quant-ph","submitted_at":"2022-03-31T17:43:34Z","title":"Distance bounds for generalized bicycle codes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2203.17216","kind":"arxiv","version":1},"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:d1069589df012dce9ec37e439f8cd45f7125a00790cad8ad0d1459af244a9907","target":"record","created_at":"2026-07-05T04:10:32Z","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":"4a433d27f3e6aafccb8adb59319502976a927da868c8e936020ec99b5e445c58","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"quant-ph","submitted_at":"2022-03-31T17:43:34Z","title_canon_sha256":"1ffefb83a5ec845b2bc830a8eda08203150e1535589416da3ad3c52539b5aed4"},"schema_version":"1.0","source":{"id":"2203.17216","kind":"arxiv","version":1}},"canonical_sha256":"6b72ce59d75689098a1087fb948a05ffa69b6ab03e2f0162ea2affc8c1369896","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6b72ce59d75689098a1087fb948a05ffa69b6ab03e2f0162ea2affc8c1369896","first_computed_at":"2026-07-05T04:10:32.502258Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:10:32.502258Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yW9amLUdZO8LKwr6kjn5QVDTuPZhhLC52XWKVB9YrCGXQAMBKFn1KigZssxjXAYziuxE67JkbnQWin8yc3eDAA==","signature_status":"signed_v1","signed_at":"2026-07-05T04:10:32.502825Z","signed_message":"canonical_sha256_bytes"},"source_id":"2203.17216","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d1069589df012dce9ec37e439f8cd45f7125a00790cad8ad0d1459af244a9907","sha256:0660d112273f6329580ccd2490c20c139c2ba89da165d17b982380f3768cb149"],"state_sha256":"a0d4fda3ee258076f697d72978d4e7183c0eb825cbb4d6b1e5b96ee32c73c1a8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VWmlPodVPTLsBkbptbkkEgC3GYle5nGeDpCr+GFexAVv+D87TC35x0XQJV5piJd+d05QXTaCDxmfdheubLYBBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T19:42:21.179842Z","bundle_sha256":"0a56695a871412691a8189a7ccd5c50a8e6d1fa30fffcea9a6f0699d6f8ae985"}}