{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:WOTECCE7PKFXVPBJCUWRNAZLGM","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":"1311a94281accf56d11427418ffc13a6270b135f59ced9d16fe1a2779f436f07","cross_cats_sorted":["cs.CR","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-03-11T15:16:21Z","title_canon_sha256":"522e88f62df7def94bb0fb0132aa786617a45278123fad926a3966c6262a32b3"},"schema_version":"1.0","source":{"id":"1303.2545","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.2545","created_at":"2026-05-18T00:59:04Z"},{"alias_kind":"arxiv_version","alias_value":"1303.2545v1","created_at":"2026-05-18T00:59:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.2545","created_at":"2026-05-18T00:59:04Z"},{"alias_kind":"pith_short_12","alias_value":"WOTECCE7PKFX","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"WOTECCE7PKFXVPBJ","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"WOTECCE7","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:305e0241869df4b809fdf65d0f926ed035c9e6fd8727c5626d5dbe8de6664637","target":"graph","created_at":"2026-05-18T00:59:04Z","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":"Low-density parity-check (LDPC) codes are one of the most promising families of codes to replace the Goppa codes originally used in the McEliece cryptosystem. In fact, it has been shown that by using quasi-cyclic low-density parity-check (QC-LDPC) codes in this system, drastic reductions in the public key size can be achieved, while maintaining fixed security levels. Recently, some proposals have appeared in the literature using codes with denser parity-check matrices, named moderate-density parity-check (MDPC) codes. However, the density of the parity-check matrices to be used in QC-LDPC code","authors_text":"Franco Chiaraluce, Marco Baldi, Marco Bianchi","cross_cats":["cs.CR","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-03-11T15:16:21Z","title":"Optimization of the parity-check matrix density in QC-LDPC code-based McEliece cryptosystems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.2545","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":"sha256:274200b994de4ca6c705f37dd3794eee8c93afa146f63964811f1e3c73e69d6f","target":"record","created_at":"2026-05-18T00:59:04Z","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":"1311a94281accf56d11427418ffc13a6270b135f59ced9d16fe1a2779f436f07","cross_cats_sorted":["cs.CR","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-03-11T15:16:21Z","title_canon_sha256":"522e88f62df7def94bb0fb0132aa786617a45278123fad926a3966c6262a32b3"},"schema_version":"1.0","source":{"id":"1303.2545","kind":"arxiv","version":1}},"canonical_sha256":"b3a641089f7a8b7abc29152d16832b330381296282b35fa6e5c3cdc5ed53325b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b3a641089f7a8b7abc29152d16832b330381296282b35fa6e5c3cdc5ed53325b","first_computed_at":"2026-05-18T00:59:04.300175Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:59:04.300175Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4IHHy8/kDvmbuFsZPC1/NDRD8wrQJb3fOEyHGQGr60oeEIUKmXMTRZiJGXozHemJkCTQGcoXwSI+7000qsFNBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:59:04.300768Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.2545","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:274200b994de4ca6c705f37dd3794eee8c93afa146f63964811f1e3c73e69d6f","sha256:305e0241869df4b809fdf65d0f926ed035c9e6fd8727c5626d5dbe8de6664637"],"state_sha256":"d01077f167fb0e37e6e6191a026b45646db9f82899551222c0ea42c85bcedbd2"}