{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:O45IMBFJTRVZYV4VHL4BBIBX2B","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":"6afbda721342ee972c9b83b347f73ad78def75450aefbbe2223b44c2f3427b4a","cross_cats_sorted":["cs.DM","math.CO","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-02-07T12:20:31Z","title_canon_sha256":"e9a39ec1adb02e0e0066ea9ad3340cdcf8b2cf334d2f55324c174c7128287310"},"schema_version":"1.0","source":{"id":"1402.1614","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.1614","created_at":"2026-05-18T00:56:59Z"},{"alias_kind":"arxiv_version","alias_value":"1402.1614v3","created_at":"2026-05-18T00:56:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.1614","created_at":"2026-05-18T00:56:59Z"},{"alias_kind":"pith_short_12","alias_value":"O45IMBFJTRVZ","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"O45IMBFJTRVZYV4V","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"O45IMBFJ","created_at":"2026-05-18T12:28:41Z"}],"graph_snapshots":[{"event_id":"sha256:f4e2925ee5dfc8f64781f0072036969d949c9e336abb1a3c6ca577748f318fd4","target":"graph","created_at":"2026-05-18T00:56:59Z","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"},"paper":{"abstract_excerpt":"In the literatures, it is well-known that Fossorier code has the girth among LDPC codes. In this paper, we introduce a new class of low-density parity-check (LDPC) codes, with higher girth than other previous constructed codes. Especially we proposed a new method to construct LDPC codes using non fixed shift permutation matrices and full based matrices with higher girth than codes constructed by Fossorier.","authors_text":"Mehdi Samadieh, Mohammad Gholami","cross_cats":["cs.DM","math.CO","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-02-07T12:20:31Z","title":"New LDPC Codes Using Permutation Matrices with Higher Girth than QC-LDPC Codes Constructed by Fossorier"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.1614","kind":"arxiv","version":3},"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":"sha256:149e88217c6b55d48ca24bb049bb813a64d15c163fdb86340a2c4d08576ebe0d","target":"record","created_at":"2026-05-18T00:56:59Z","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":"6afbda721342ee972c9b83b347f73ad78def75450aefbbe2223b44c2f3427b4a","cross_cats_sorted":["cs.DM","math.CO","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-02-07T12:20:31Z","title_canon_sha256":"e9a39ec1adb02e0e0066ea9ad3340cdcf8b2cf334d2f55324c174c7128287310"},"schema_version":"1.0","source":{"id":"1402.1614","kind":"arxiv","version":3}},"canonical_sha256":"773a8604a99c6b9c57953af810a037d05e6a13dd38eca1968684ecd9d7e88853","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"773a8604a99c6b9c57953af810a037d05e6a13dd38eca1968684ecd9d7e88853","first_computed_at":"2026-05-18T00:56:59.398609Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:56:59.398609Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8w5vUn8odgYZKakHXQzE95s89j+wzC4fuCXLmIwLjkoe2H3ggg0ZwvMzMjNNYPsDvW7gD8y0b57ppGr8t2bhCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:56:59.399110Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.1614","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:149e88217c6b55d48ca24bb049bb813a64d15c163fdb86340a2c4d08576ebe0d","sha256:f4e2925ee5dfc8f64781f0072036969d949c9e336abb1a3c6ca577748f318fd4"],"state_sha256":"6c3025e2d969df78e4dc178f76850954272b2ef6eef8839c86a95b2a5da40361"}