{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:5JRL2FZ4FE2A3K6D2SZSAM324N","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":"4d4f2d920d3aa4dd556dd23345e08e901e39eb061aa6041e6caab5d74de73260","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-11-23T13:14:56Z","title_canon_sha256":"5a6d5727a47cf715b64826abb7caeb493cbc82e822d835e34cc56b32a1903399"},"schema_version":"1.0","source":{"id":"1111.5484","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.5484","created_at":"2026-05-18T04:07:43Z"},{"alias_kind":"arxiv_version","alias_value":"1111.5484v1","created_at":"2026-05-18T04:07:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.5484","created_at":"2026-05-18T04:07:43Z"},{"alias_kind":"pith_short_12","alias_value":"5JRL2FZ4FE2A","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"5JRL2FZ4FE2A3K6D","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"5JRL2FZ4","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:f60be8271eb192562e3aec152511f33c46b774b05d3f7f0abf18661bd423ebb4","target":"graph","created_at":"2026-05-18T04:07:43Z","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":"Binary linear [n,k] codes that are proper for error detection are known for many combinations of n and k. For the remaining combinations, existence of proper codes is conjectured. In this paper, a particular class of [n,k] codes is studied in detail. In particular, it is shown that these codes are proper for many combinations of n and k which were previously unsettled.","authors_text":"Franco Chiaraluce, Marco Baldi, Marco Bianchi, Torleiv Kl{\\o}ve","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-11-23T13:14:56Z","title":"A class of punctured simplex codes which are proper for error detection"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.5484","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:d0cd0a2fd80a7e3ca1e52f3312db1e7abaf8a2d6446b77e9bfc1583b21953633","target":"record","created_at":"2026-05-18T04:07:43Z","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":"4d4f2d920d3aa4dd556dd23345e08e901e39eb061aa6041e6caab5d74de73260","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-11-23T13:14:56Z","title_canon_sha256":"5a6d5727a47cf715b64826abb7caeb493cbc82e822d835e34cc56b32a1903399"},"schema_version":"1.0","source":{"id":"1111.5484","kind":"arxiv","version":1}},"canonical_sha256":"ea62bd173c29340dabc3d4b320337ae346b8fcf3136209d14c8c893c354f5fbf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ea62bd173c29340dabc3d4b320337ae346b8fcf3136209d14c8c893c354f5fbf","first_computed_at":"2026-05-18T04:07:43.634731Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:07:43.634731Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uo4aI1BWunSP8imA5QPsJPb3r2Q9Zc4gIdyhaZIHFwZkFBEkh3rISVt+B0Yu2Itk3eWxVq+OVWMv2QLz0njrBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:07:43.635293Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.5484","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d0cd0a2fd80a7e3ca1e52f3312db1e7abaf8a2d6446b77e9bfc1583b21953633","sha256:f60be8271eb192562e3aec152511f33c46b774b05d3f7f0abf18661bd423ebb4"],"state_sha256":"e1d44bffb47854fa475829b5bf5d01d8dc29a2194d04f33e98f85d2fae6b8c58"}