{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:KIMOFS3Y2R3M2EJRWRXLSQGP2O","short_pith_number":"pith:KIMOFS3Y","canonical_record":{"source":{"id":"1703.03109","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-03-09T02:46:24Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"faf03e0a4d40ee996ccdf023f1015da16102ab39b57e041e2650c451fe252ccd","abstract_canon_sha256":"d70c964ebb18b811fc30946d9692aef2ed313d9e963038b10e6287d9bcdc9d30"},"schema_version":"1.0"},"canonical_sha256":"5218e2cb78d476cd1131b46eb940cfd3a21fe10ff0feae32c1512d4b67de1bd2","source":{"kind":"arxiv","id":"1703.03109","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.03109","created_at":"2026-05-18T00:49:01Z"},{"alias_kind":"arxiv_version","alias_value":"1703.03109v1","created_at":"2026-05-18T00:49:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.03109","created_at":"2026-05-18T00:49:01Z"},{"alias_kind":"pith_short_12","alias_value":"KIMOFS3Y2R3M","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"KIMOFS3Y2R3M2EJR","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"KIMOFS3Y","created_at":"2026-05-18T12:31:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:KIMOFS3Y2R3M2EJRWRXLSQGP2O","target":"record","payload":{"canonical_record":{"source":{"id":"1703.03109","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-03-09T02:46:24Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"faf03e0a4d40ee996ccdf023f1015da16102ab39b57e041e2650c451fe252ccd","abstract_canon_sha256":"d70c964ebb18b811fc30946d9692aef2ed313d9e963038b10e6287d9bcdc9d30"},"schema_version":"1.0"},"canonical_sha256":"5218e2cb78d476cd1131b46eb940cfd3a21fe10ff0feae32c1512d4b67de1bd2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:49:01.513518Z","signature_b64":"L+NVBVjDX/8epVTo2qezyDvFfjn0MjEQXxWiKY+hvKGIOyoiyPsbuhfvMDBRXHLMxEXK3mQpwc+LT1UDlKUyAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5218e2cb78d476cd1131b46eb940cfd3a21fe10ff0feae32c1512d4b67de1bd2","last_reissued_at":"2026-05-18T00:49:01.512808Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:49:01.512808Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.03109","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:49:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dKNFqqdEZb9Hg8CEPNihPXZ+HiYNiNpXQ8dA2BXH0YtpITfyplopt/IgNE9h4/IpCAh0W6Ing/GBQEVO6iddBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T09:28:59.612408Z"},"content_sha256":"4b96ac3371a3d81ce0553c8bdc989f1c2281908d5b760036c1268c043d2ca04d","schema_version":"1.0","event_id":"sha256:4b96ac3371a3d81ce0553c8bdc989f1c2281908d5b760036c1268c043d2ca04d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:KIMOFS3Y2R3M2EJRWRXLSQGP2O","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Long quasi-polycyclic $t-$CIS codes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Adel Alahmadi, Cem G\\\"uneri, Hatoon Shoaib, Patrick Sol\\'e","submitted_at":"2017-03-09T02:46:24Z","abstract_excerpt":"We study complementary information set codes of length $tn$ and dimension $n$ of order $t$ called ($t-$CIS code for short). Quasi-cyclic and quasi-twisted $t$-CIS codes are enumerated by using their concatenated structure. Asymptotic existence results are derived for one-generator and have co-index $n$ by Artin's conjecture for quasi cyclic and special case for quasi twisted. This shows that there are infinite families of long QC and QT $t$-CIS codes with relative distance satisfying a modified Varshamov-Gilbert bound for rate $1/t$ codes.\n  Similar results are defined for the new and more gen"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.03109","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:49:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8p41sSoelHN+inploXch29DOAmB5R3DGeRjDoVr61C9VAx0Mwkuw9RpVDel+HaF8QKQbjUwIUy7JJP9lE3PuCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T09:28:59.613162Z"},"content_sha256":"43d1a3e92cb584c6ef0306d3b74469767bb1254e8902f558078f8550069ea59a","schema_version":"1.0","event_id":"sha256:43d1a3e92cb584c6ef0306d3b74469767bb1254e8902f558078f8550069ea59a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KIMOFS3Y2R3M2EJRWRXLSQGP2O/bundle.json","state_url":"https://pith.science/pith/KIMOFS3Y2R3M2EJRWRXLSQGP2O/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KIMOFS3Y2R3M2EJRWRXLSQGP2O/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-19T09:28:59Z","links":{"resolver":"https://pith.science/pith/KIMOFS3Y2R3M2EJRWRXLSQGP2O","bundle":"https://pith.science/pith/KIMOFS3Y2R3M2EJRWRXLSQGP2O/bundle.json","state":"https://pith.science/pith/KIMOFS3Y2R3M2EJRWRXLSQGP2O/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KIMOFS3Y2R3M2EJRWRXLSQGP2O/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:KIMOFS3Y2R3M2EJRWRXLSQGP2O","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":"d70c964ebb18b811fc30946d9692aef2ed313d9e963038b10e6287d9bcdc9d30","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-03-09T02:46:24Z","title_canon_sha256":"faf03e0a4d40ee996ccdf023f1015da16102ab39b57e041e2650c451fe252ccd"},"schema_version":"1.0","source":{"id":"1703.03109","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.03109","created_at":"2026-05-18T00:49:01Z"},{"alias_kind":"arxiv_version","alias_value":"1703.03109v1","created_at":"2026-05-18T00:49:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.03109","created_at":"2026-05-18T00:49:01Z"},{"alias_kind":"pith_short_12","alias_value":"KIMOFS3Y2R3M","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"KIMOFS3Y2R3M2EJR","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"KIMOFS3Y","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:43d1a3e92cb584c6ef0306d3b74469767bb1254e8902f558078f8550069ea59a","target":"graph","created_at":"2026-05-18T00:49:01Z","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":"We study complementary information set codes of length $tn$ and dimension $n$ of order $t$ called ($t-$CIS code for short). Quasi-cyclic and quasi-twisted $t$-CIS codes are enumerated by using their concatenated structure. Asymptotic existence results are derived for one-generator and have co-index $n$ by Artin's conjecture for quasi cyclic and special case for quasi twisted. This shows that there are infinite families of long QC and QT $t$-CIS codes with relative distance satisfying a modified Varshamov-Gilbert bound for rate $1/t$ codes.\n  Similar results are defined for the new and more gen","authors_text":"Adel Alahmadi, Cem G\\\"uneri, Hatoon Shoaib, Patrick Sol\\'e","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-03-09T02:46:24Z","title":"Long quasi-polycyclic $t-$CIS codes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.03109","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":"sha256:4b96ac3371a3d81ce0553c8bdc989f1c2281908d5b760036c1268c043d2ca04d","target":"record","created_at":"2026-05-18T00:49:01Z","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":"d70c964ebb18b811fc30946d9692aef2ed313d9e963038b10e6287d9bcdc9d30","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-03-09T02:46:24Z","title_canon_sha256":"faf03e0a4d40ee996ccdf023f1015da16102ab39b57e041e2650c451fe252ccd"},"schema_version":"1.0","source":{"id":"1703.03109","kind":"arxiv","version":1}},"canonical_sha256":"5218e2cb78d476cd1131b46eb940cfd3a21fe10ff0feae32c1512d4b67de1bd2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5218e2cb78d476cd1131b46eb940cfd3a21fe10ff0feae32c1512d4b67de1bd2","first_computed_at":"2026-05-18T00:49:01.512808Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:49:01.512808Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"L+NVBVjDX/8epVTo2qezyDvFfjn0MjEQXxWiKY+hvKGIOyoiyPsbuhfvMDBRXHLMxEXK3mQpwc+LT1UDlKUyAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:49:01.513518Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.03109","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4b96ac3371a3d81ce0553c8bdc989f1c2281908d5b760036c1268c043d2ca04d","sha256:43d1a3e92cb584c6ef0306d3b74469767bb1254e8902f558078f8550069ea59a"],"state_sha256":"58fb3da4a92fa0d680557726ca9ca443b948c330f432068d05f64db180a88ba9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NZ0V5P+QZ9R31H0jP4+i5t34yaMhQ9kamOcRDzU4uCKFbc66ivmAyUNR7TSyyQS3sGWe1mITjWMGc5kZpTaGAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-19T09:28:59.616468Z","bundle_sha256":"3485f55190ea21ee3a0f164060b46b765d9d3ad08f58cd17d08a07ecc7b0927f"}}