{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:IEIUFR3Q75FCE2KLBW44AIGGN3","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":"6c79c7737e8e4aecbb54a0fa8323fb71ae9b38c826bb85539e6d4cb89f634628","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-04-24T17:59:58Z","title_canon_sha256":"29649dbafc1693da602523af47d5e62e47f1af83b8f4e07afa41f74f51e04fe9"},"schema_version":"1.0","source":{"id":"2504.17790","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.17790","created_at":"2026-07-05T10:54:48Z"},{"alias_kind":"arxiv_version","alias_value":"2504.17790v2","created_at":"2026-07-05T10:54:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.17790","created_at":"2026-07-05T10:54:48Z"},{"alias_kind":"pith_short_12","alias_value":"IEIUFR3Q75FC","created_at":"2026-07-05T10:54:48Z"},{"alias_kind":"pith_short_16","alias_value":"IEIUFR3Q75FCE2KL","created_at":"2026-07-05T10:54:48Z"},{"alias_kind":"pith_short_8","alias_value":"IEIUFR3Q","created_at":"2026-07-05T10:54:48Z"}],"graph_snapshots":[{"event_id":"sha256:b8e4fe65acc5ae6cd907e4f7d460ca389a74415a717a09cac2931b29cc1db40a","target":"graph","created_at":"2026-07-05T10:54:48Z","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/2504.17790/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a method for constructing quantum error-correcting codes based on non-binary low-density parity-check codes with Tanner graph girth 16. While conventional constructions using circulant permutation matrices are limited to girth 12, our method employs affine permutation matrices and a randomized sequential selection procedure to eliminate short cycles and achieve girth 16.\n  Numerical experiments show that the proposed codes significantly reduce the number of low-weight codewords. Joint belief propagation decoding over depolarizing channels reveals that although a slight degradation a","authors_text":"Kenta Kasai","cross_cats":["cs.IT","math.IT"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-04-24T17:59:58Z","title":"Quantum Error Correction with Girth-16 Non-Binary LDPC Codes via Affine Permutation Construction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.17790","kind":"arxiv","version":2},"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":"sha256:7073e7464a3548f29b78f57f120edd33547c047737f9582646734564853015eb","target":"record","created_at":"2026-07-05T10:54:48Z","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":"6c79c7737e8e4aecbb54a0fa8323fb71ae9b38c826bb85539e6d4cb89f634628","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-04-24T17:59:58Z","title_canon_sha256":"29649dbafc1693da602523af47d5e62e47f1af83b8f4e07afa41f74f51e04fe9"},"schema_version":"1.0","source":{"id":"2504.17790","kind":"arxiv","version":2}},"canonical_sha256":"411142c770ff4a22694b0db9c020c66ed8dbc3ada86edcf815656c49d75f78d2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"411142c770ff4a22694b0db9c020c66ed8dbc3ada86edcf815656c49d75f78d2","first_computed_at":"2026-07-05T10:54:48.317942Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:54:48.317942Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tHupdc6hDqzGpz7ii9EBXCFRvCURW8asNtUZQzGh6N8kbbZOXxizqHRi/0d/y+LOuRrOZpv0m0oXevC0N43ACg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:54:48.318548Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.17790","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7073e7464a3548f29b78f57f120edd33547c047737f9582646734564853015eb","sha256:b8e4fe65acc5ae6cd907e4f7d460ca389a74415a717a09cac2931b29cc1db40a"],"state_sha256":"8e33eaa7399d2caa7c930a561c2fb14937a0382442e8644c61ecce78cd70f136"}