{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:YWTBCT3WBC6PNSGSCDQE7O64MM","short_pith_number":"pith:YWTBCT3W","canonical_record":{"source":{"id":"2408.03123","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-08-06T11:54:36Z","cross_cats_sorted":[],"title_canon_sha256":"7683332752c1181e661b0ae569c9aee3a4bddbf2835c1a3845beae831d4f16d7","abstract_canon_sha256":"bb0f6bef0d240348da275ab91fdcbb9c652f68cf4cab274152eb7ee6b708cb32"},"schema_version":"1.0"},"canonical_sha256":"c5a6114f7608bcf6c8d210e04fbbdc630108e2d8c20fb2f4343ffcb83f1676b9","source":{"kind":"arxiv","id":"2408.03123","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2408.03123","created_at":"2026-07-05T11:52:13Z"},{"alias_kind":"arxiv_version","alias_value":"2408.03123v4","created_at":"2026-07-05T11:52:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2408.03123","created_at":"2026-07-05T11:52:13Z"},{"alias_kind":"pith_short_12","alias_value":"YWTBCT3WBC6P","created_at":"2026-07-05T11:52:13Z"},{"alias_kind":"pith_short_16","alias_value":"YWTBCT3WBC6PNSGS","created_at":"2026-07-05T11:52:13Z"},{"alias_kind":"pith_short_8","alias_value":"YWTBCT3W","created_at":"2026-07-05T11:52:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:YWTBCT3WBC6PNSGSCDQE7O64MM","target":"record","payload":{"canonical_record":{"source":{"id":"2408.03123","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-08-06T11:54:36Z","cross_cats_sorted":[],"title_canon_sha256":"7683332752c1181e661b0ae569c9aee3a4bddbf2835c1a3845beae831d4f16d7","abstract_canon_sha256":"bb0f6bef0d240348da275ab91fdcbb9c652f68cf4cab274152eb7ee6b708cb32"},"schema_version":"1.0"},"canonical_sha256":"c5a6114f7608bcf6c8d210e04fbbdc630108e2d8c20fb2f4343ffcb83f1676b9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:52:13.910460Z","signature_b64":"f9RRLGfevlwASy9+0I6kzBz6to0pib6ZksKqzUK0JYFiISIiEjuMd9J9xJRfcLU7sATtYNlzMxxJkP0ZodpcDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c5a6114f7608bcf6c8d210e04fbbdc630108e2d8c20fb2f4343ffcb83f1676b9","last_reissued_at":"2026-07-05T11:52:13.910002Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:52:13.910002Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2408.03123","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":"2026-07-05T11:52:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dpiGKzfvywF2ar2PYG2tex1NWAKtkLAR/a1qNPZXggdqDIOwPujosFLpRyRpjM/QEsrBFGNEUKNr9BZy49PQAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T18:43:16.656434Z"},"content_sha256":"48c14112d448f498db3d653eadb9412f3712950cc5b5b3b6a5893ea0331bfbbd","schema_version":"1.0","event_id":"sha256:48c14112d448f498db3d653eadb9412f3712950cc5b5b3b6a5893ea0331bfbbd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:YWTBCT3WBC6PNSGSCDQE7O64MM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"High-dimensional quantum XYZ product codes for biased noise","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Fusheng Yang, Jiahan Chen, Xuan Wang, Zhengzhong Yi, Zhipeng Liang, Zicheng Wang","submitted_at":"2024-08-06T11:54:36Z","abstract_excerpt":"Three-dimensional (3D) quantum XYZ product can construct a class of non-CSS quantum codes by using three classical codes. However, there has been limited study on their error-correcting performance so far and whether this code construction can be generalized to higher dimension is an open question. In this paper, we first study the error-correcting performance of the 3D Chamon code, which is an instance of the 3D XYZ product of three repetition codes. Second, we show that the 3D XYZ product can be generalized to four dimension and propose four-dimensional (4D) XYZ product code construction, wh"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.03123","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2408.03123/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":"2026-07-05T11:52:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Wg6hNWj6pS01NL7BJvIxIp5ACScbx/iVSg6aOqAWwlUQD0CPoGCUkse6ST23VV3AyFwvS7BSwZEzQ9z9aLroAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T18:43:16.656835Z"},"content_sha256":"670135e25368b6853b423d694d5e9e8ba3bb7c1429a9acaf086ef37b9c4cc6b8","schema_version":"1.0","event_id":"sha256:670135e25368b6853b423d694d5e9e8ba3bb7c1429a9acaf086ef37b9c4cc6b8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YWTBCT3WBC6PNSGSCDQE7O64MM/bundle.json","state_url":"https://pith.science/pith/YWTBCT3WBC6PNSGSCDQE7O64MM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YWTBCT3WBC6PNSGSCDQE7O64MM/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":"2026-08-04T18:43:16Z","links":{"resolver":"https://pith.science/pith/YWTBCT3WBC6PNSGSCDQE7O64MM","bundle":"https://pith.science/pith/YWTBCT3WBC6PNSGSCDQE7O64MM/bundle.json","state":"https://pith.science/pith/YWTBCT3WBC6PNSGSCDQE7O64MM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YWTBCT3WBC6PNSGSCDQE7O64MM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:YWTBCT3WBC6PNSGSCDQE7O64MM","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":"bb0f6bef0d240348da275ab91fdcbb9c652f68cf4cab274152eb7ee6b708cb32","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-08-06T11:54:36Z","title_canon_sha256":"7683332752c1181e661b0ae569c9aee3a4bddbf2835c1a3845beae831d4f16d7"},"schema_version":"1.0","source":{"id":"2408.03123","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2408.03123","created_at":"2026-07-05T11:52:13Z"},{"alias_kind":"arxiv_version","alias_value":"2408.03123v4","created_at":"2026-07-05T11:52:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2408.03123","created_at":"2026-07-05T11:52:13Z"},{"alias_kind":"pith_short_12","alias_value":"YWTBCT3WBC6P","created_at":"2026-07-05T11:52:13Z"},{"alias_kind":"pith_short_16","alias_value":"YWTBCT3WBC6PNSGS","created_at":"2026-07-05T11:52:13Z"},{"alias_kind":"pith_short_8","alias_value":"YWTBCT3W","created_at":"2026-07-05T11:52:13Z"}],"graph_snapshots":[{"event_id":"sha256:670135e25368b6853b423d694d5e9e8ba3bb7c1429a9acaf086ef37b9c4cc6b8","target":"graph","created_at":"2026-07-05T11:52:13Z","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/2408.03123/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Three-dimensional (3D) quantum XYZ product can construct a class of non-CSS quantum codes by using three classical codes. However, there has been limited study on their error-correcting performance so far and whether this code construction can be generalized to higher dimension is an open question. In this paper, we first study the error-correcting performance of the 3D Chamon code, which is an instance of the 3D XYZ product of three repetition codes. Second, we show that the 3D XYZ product can be generalized to four dimension and propose four-dimensional (4D) XYZ product code construction, wh","authors_text":"Fusheng Yang, Jiahan Chen, Xuan Wang, Zhengzhong Yi, Zhipeng Liang, Zicheng Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-08-06T11:54:36Z","title":"High-dimensional quantum XYZ product codes for biased noise"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.03123","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":"sha256:48c14112d448f498db3d653eadb9412f3712950cc5b5b3b6a5893ea0331bfbbd","target":"record","created_at":"2026-07-05T11:52:13Z","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":"bb0f6bef0d240348da275ab91fdcbb9c652f68cf4cab274152eb7ee6b708cb32","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-08-06T11:54:36Z","title_canon_sha256":"7683332752c1181e661b0ae569c9aee3a4bddbf2835c1a3845beae831d4f16d7"},"schema_version":"1.0","source":{"id":"2408.03123","kind":"arxiv","version":4}},"canonical_sha256":"c5a6114f7608bcf6c8d210e04fbbdc630108e2d8c20fb2f4343ffcb83f1676b9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c5a6114f7608bcf6c8d210e04fbbdc630108e2d8c20fb2f4343ffcb83f1676b9","first_computed_at":"2026-07-05T11:52:13.910002Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:52:13.910002Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"f9RRLGfevlwASy9+0I6kzBz6to0pib6ZksKqzUK0JYFiISIiEjuMd9J9xJRfcLU7sATtYNlzMxxJkP0ZodpcDg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:52:13.910460Z","signed_message":"canonical_sha256_bytes"},"source_id":"2408.03123","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:48c14112d448f498db3d653eadb9412f3712950cc5b5b3b6a5893ea0331bfbbd","sha256:670135e25368b6853b423d694d5e9e8ba3bb7c1429a9acaf086ef37b9c4cc6b8"],"state_sha256":"c2d9c2f9e91feafd5f3fca5d873291150283899dd5ae724c88f9865b78d079c8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2E0fXlTA6jxjXV0jsVDNx7JM+52jucWkaeQaMaCO2IxVcbyXVKoejj6kDw5bt0Yl5/hThHnRqsP+f74O4R8QAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T18:43:16.660298Z","bundle_sha256":"a3b419a338dc1784005e19ab1b513cdd717268cd7a5fab0206dfd92e0ed331d5"}}