{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:KZM7JPLGXP5BTB5BV4YKFVQ6SA","short_pith_number":"pith:KZM7JPLG","canonical_record":{"source":{"id":"2505.03691","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-05-06T16:53:51Z","cross_cats_sorted":[],"title_canon_sha256":"d492d15e5e6e6c607cf0257c2569349269742a08c9b14edbf24e0939cb7b92ba","abstract_canon_sha256":"7c09604cd06995fde8e167553f821d98006bd5231f6d4dccea65c7ed3ecff2e9"},"schema_version":"1.0"},"canonical_sha256":"5659f4bd66bbfa1987a1af30a2d61e901c05efdf8b7faa4bb5d92ffc8e8d5d72","source":{"kind":"arxiv","id":"2505.03691","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.03691","created_at":"2026-07-05T10:59:20Z"},{"alias_kind":"arxiv_version","alias_value":"2505.03691v1","created_at":"2026-07-05T10:59:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.03691","created_at":"2026-07-05T10:59:20Z"},{"alias_kind":"pith_short_12","alias_value":"KZM7JPLGXP5B","created_at":"2026-07-05T10:59:20Z"},{"alias_kind":"pith_short_16","alias_value":"KZM7JPLGXP5BTB5B","created_at":"2026-07-05T10:59:20Z"},{"alias_kind":"pith_short_8","alias_value":"KZM7JPLG","created_at":"2026-07-05T10:59:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:KZM7JPLGXP5BTB5BV4YKFVQ6SA","target":"record","payload":{"canonical_record":{"source":{"id":"2505.03691","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-05-06T16:53:51Z","cross_cats_sorted":[],"title_canon_sha256":"d492d15e5e6e6c607cf0257c2569349269742a08c9b14edbf24e0939cb7b92ba","abstract_canon_sha256":"7c09604cd06995fde8e167553f821d98006bd5231f6d4dccea65c7ed3ecff2e9"},"schema_version":"1.0"},"canonical_sha256":"5659f4bd66bbfa1987a1af30a2d61e901c05efdf8b7faa4bb5d92ffc8e8d5d72","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:59:20.630673Z","signature_b64":"b86HEPjptA11OiREnsyFi3mg72K74E40JZpvwtpCnyOo6DLuPe50a6K7PQJpHKRAnVptLgNGBrVe9OrBM63uAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5659f4bd66bbfa1987a1af30a2d61e901c05efdf8b7faa4bb5d92ffc8e8d5d72","last_reissued_at":"2026-07-05T10:59:20.630175Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:59:20.630175Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2505.03691","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":"2026-07-05T10:59:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KhczQVcuUkXfttfVn17Dz1J4de9k6uj1MCO97MDK6YMIGfWik6mipjKocyH4dknSvjlmyr6dmBlYVAnLu8a/Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T02:44:11.373786Z"},"content_sha256":"34fe51bd8a6348fd5a877a49b8047206cc92a1d4528b093d8c9311a379d2db0f","schema_version":"1.0","event_id":"sha256:34fe51bd8a6348fd5a877a49b8047206cc92a1d4528b093d8c9311a379d2db0f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:KZM7JPLGXP5BTB5BV4YKFVQ6SA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sequential decoding of the XYZ$^2$ hexagonal stabilizer code","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Anton Frisk Kockum, Basudha Srivastava, Ben Criger, Mats Granath, Yinzi Xiao","submitted_at":"2025-05-06T16:53:51Z","abstract_excerpt":"Quantum error correction requires accurate and efficient decoding to optimally suppress errors in the encoded information. For concatenated codes, where one code is embedded within another, optimal decoding can be achieved using a message-passing algorithm that sends conditional error probabilities from the lower-level code to a higher-level decoder. In this work, we study the XYZ$^2$ topological stabilizer code, defined on a honeycomb lattice, and use the fact that it can be viewed as a concatenation of a [[2, 1, 1]] phase-flip parity check code and the surface code with $YZZY$ stabilizers, t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.03691","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/2505.03691/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":"2026-07-05T10:59:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3JtntBiwd+ZdMtgy3RYl85KdRVcHsO1thfq7smI7D22bAtwLg7ajq0KsTdctW7NSV8Pq1y8mf4guqJeMCEFMCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T02:44:11.374290Z"},"content_sha256":"f73acf3ecaf557f40e7ad727357288781d74c86ae04318ce164d47bb05274513","schema_version":"1.0","event_id":"sha256:f73acf3ecaf557f40e7ad727357288781d74c86ae04318ce164d47bb05274513"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KZM7JPLGXP5BTB5BV4YKFVQ6SA/bundle.json","state_url":"https://pith.science/pith/KZM7JPLGXP5BTB5BV4YKFVQ6SA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KZM7JPLGXP5BTB5BV4YKFVQ6SA/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":"2026-08-06T02:44:11Z","links":{"resolver":"https://pith.science/pith/KZM7JPLGXP5BTB5BV4YKFVQ6SA","bundle":"https://pith.science/pith/KZM7JPLGXP5BTB5BV4YKFVQ6SA/bundle.json","state":"https://pith.science/pith/KZM7JPLGXP5BTB5BV4YKFVQ6SA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KZM7JPLGXP5BTB5BV4YKFVQ6SA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:KZM7JPLGXP5BTB5BV4YKFVQ6SA","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":"7c09604cd06995fde8e167553f821d98006bd5231f6d4dccea65c7ed3ecff2e9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-05-06T16:53:51Z","title_canon_sha256":"d492d15e5e6e6c607cf0257c2569349269742a08c9b14edbf24e0939cb7b92ba"},"schema_version":"1.0","source":{"id":"2505.03691","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.03691","created_at":"2026-07-05T10:59:20Z"},{"alias_kind":"arxiv_version","alias_value":"2505.03691v1","created_at":"2026-07-05T10:59:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.03691","created_at":"2026-07-05T10:59:20Z"},{"alias_kind":"pith_short_12","alias_value":"KZM7JPLGXP5B","created_at":"2026-07-05T10:59:20Z"},{"alias_kind":"pith_short_16","alias_value":"KZM7JPLGXP5BTB5B","created_at":"2026-07-05T10:59:20Z"},{"alias_kind":"pith_short_8","alias_value":"KZM7JPLG","created_at":"2026-07-05T10:59:20Z"}],"graph_snapshots":[{"event_id":"sha256:f73acf3ecaf557f40e7ad727357288781d74c86ae04318ce164d47bb05274513","target":"graph","created_at":"2026-07-05T10:59:20Z","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/2505.03691/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Quantum error correction requires accurate and efficient decoding to optimally suppress errors in the encoded information. For concatenated codes, where one code is embedded within another, optimal decoding can be achieved using a message-passing algorithm that sends conditional error probabilities from the lower-level code to a higher-level decoder. In this work, we study the XYZ$^2$ topological stabilizer code, defined on a honeycomb lattice, and use the fact that it can be viewed as a concatenation of a [[2, 1, 1]] phase-flip parity check code and the surface code with $YZZY$ stabilizers, t","authors_text":"Anton Frisk Kockum, Basudha Srivastava, Ben Criger, Mats Granath, Yinzi Xiao","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-05-06T16:53:51Z","title":"Sequential decoding of the XYZ$^2$ hexagonal stabilizer code"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.03691","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":"sha256:34fe51bd8a6348fd5a877a49b8047206cc92a1d4528b093d8c9311a379d2db0f","target":"record","created_at":"2026-07-05T10:59:20Z","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":"7c09604cd06995fde8e167553f821d98006bd5231f6d4dccea65c7ed3ecff2e9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-05-06T16:53:51Z","title_canon_sha256":"d492d15e5e6e6c607cf0257c2569349269742a08c9b14edbf24e0939cb7b92ba"},"schema_version":"1.0","source":{"id":"2505.03691","kind":"arxiv","version":1}},"canonical_sha256":"5659f4bd66bbfa1987a1af30a2d61e901c05efdf8b7faa4bb5d92ffc8e8d5d72","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5659f4bd66bbfa1987a1af30a2d61e901c05efdf8b7faa4bb5d92ffc8e8d5d72","first_computed_at":"2026-07-05T10:59:20.630175Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:59:20.630175Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"b86HEPjptA11OiREnsyFi3mg72K74E40JZpvwtpCnyOo6DLuPe50a6K7PQJpHKRAnVptLgNGBrVe9OrBM63uAw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:59:20.630673Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.03691","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:34fe51bd8a6348fd5a877a49b8047206cc92a1d4528b093d8c9311a379d2db0f","sha256:f73acf3ecaf557f40e7ad727357288781d74c86ae04318ce164d47bb05274513"],"state_sha256":"bd496d4c83f557dc4fb5e7997f3f70b86fc9051a7044fac95ccd739bb39e0c72"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"upD9JHo5iMJ2yQ7h1FDzNk+SErB69vJeArf8sVX5v6ypZr+vJr/btSqjfdqLOT9FQ8ANZHKdp+Iu6s4xTrQoDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T02:44:11.379993Z","bundle_sha256":"24b3bd1445a99ffe07151dbe3592f7e524a00d39ec1d46983640fb4568f2d847"}}