{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:N3QP7NTPVRVHXVSFLZ3QDASFJY","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":"015ac7c87d071702e15fc785468bbd3dafdc15b9f01ec8255af8d1641500d878","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-05-22T17:56:26Z","title_canon_sha256":"0bb2a72106571055cf0f11880d1625d9738c5b751a4c3ec08f86757ac6c85cc9"},"schema_version":"1.0","source":{"id":"2605.23894","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.23894","created_at":"2026-05-25T02:02:38Z"},{"alias_kind":"arxiv_version","alias_value":"2605.23894v1","created_at":"2026-05-25T02:02:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.23894","created_at":"2026-05-25T02:02:38Z"},{"alias_kind":"pith_short_12","alias_value":"N3QP7NTPVRVH","created_at":"2026-05-25T02:02:38Z"},{"alias_kind":"pith_short_16","alias_value":"N3QP7NTPVRVHXVSF","created_at":"2026-05-25T02:02:38Z"},{"alias_kind":"pith_short_8","alias_value":"N3QP7NTP","created_at":"2026-05-25T02:02:38Z"}],"graph_snapshots":[{"event_id":"sha256:e84f453f6c388fb3f196e78eb2f5965da45db0a0a1a08c24adc87342fd8a72d7","target":"graph","created_at":"2026-05-25T02:02:38Z","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/2605.23894/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper develops a two-branch multiplicative-coset construction for regular Calderbank-Shor-Steane (CSS) quantum low-density parity-check base matrices. For a target column weight \\(J\\) and an even row weight \\(L\\), the method reduces regularity, CSS orthogonality, and same-type 4-cycle exclusion to explicit quotient-coset conditions over a finite field. A normalized exhaustive search for these conditions produces base matrices for several \\((J,L)\\) pairs, so the construction is not tied to a single degree distribution. The construction separates the finite-length design into two stages: th","authors_text":"Kenta Kasai, Koki Okada","cross_cats":["cs.IT","math.IT"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-05-22T17:56:26Z","title":"A Two-Branch Finite-Field Construction for Regular CSS LDPC Bases"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.23894","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":"sha256:4285509039256862bbb0cd45455f37934d91a1a497fe14da5ea53251b3e7656b","target":"record","created_at":"2026-05-25T02:02:38Z","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":"015ac7c87d071702e15fc785468bbd3dafdc15b9f01ec8255af8d1641500d878","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-05-22T17:56:26Z","title_canon_sha256":"0bb2a72106571055cf0f11880d1625d9738c5b751a4c3ec08f86757ac6c85cc9"},"schema_version":"1.0","source":{"id":"2605.23894","kind":"arxiv","version":1}},"canonical_sha256":"6ee0ffb66fac6a7bd6455e770182454e1a4bea4f61e454469ed10cec2e671604","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6ee0ffb66fac6a7bd6455e770182454e1a4bea4f61e454469ed10cec2e671604","first_computed_at":"2026-05-25T02:02:38.213235Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-25T02:02:38.213235Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+t9/2uz+cp+is5bmgZLv8f9RWELZsGqp40IvVId/YPCtwqZvC7wjRpfQY9zV07U0FEkwL+x00hqcMp3fbcVpDQ==","signature_status":"signed_v1","signed_at":"2026-05-25T02:02:38.213959Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.23894","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4285509039256862bbb0cd45455f37934d91a1a497fe14da5ea53251b3e7656b","sha256:e84f453f6c388fb3f196e78eb2f5965da45db0a0a1a08c24adc87342fd8a72d7"],"state_sha256":"25932bd851ad3cd554e65d1ddea0909dc12570263becfeac219e3297032117a9"}