{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:5HSXHFNOTVO6DA3IZYNWASRP2B","short_pith_number":"pith:5HSXHFNO","schema_version":"1.0","canonical_sha256":"e9e57395ae9d5de18368ce1b604a2fd077447ce093dcb606bc9a1fab2d56afa9","source":{"kind":"arxiv","id":"1503.05710","version":1},"attestation_state":"computed","paper":{"title":"Topological quantum codes from self-complementary self-dual graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Avaz Naghipour, Mohammad Ali Jafarizadeh, Sedaghat Shahmorad","submitted_at":"2015-03-19T11:09:10Z","abstract_excerpt":"In this paper we present two new classes of binary quantum codes with minimum distance of at least three, by self-complementary self-dual orientable embeddings of voltage graphs and Paley graphs in the Galois field GF(pr), where p is a prime number and r is a positive integer. The parameters of two new classes of quantum codes are [[(2k+2)(8k+ 7); 2(8k^2+7k); d]] and [[(2k+2)(8k+9); 2(8k^2+9k+1); d]] respectively, where d>=3. For these quantum codes, the code rate approaches 1 as k goes to infinity."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1503.05710","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-03-19T11:09:10Z","cross_cats_sorted":[],"title_canon_sha256":"fba5f15b5afd434c1cb5dd9eb5f93592f925499cd546727caaf36994d81702b9","abstract_canon_sha256":"bd0da3b74201e4e66ecfe6b2eb2a335f13f4fbae97ed7cd0c46fd751ee316940"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:20:58.284271Z","signature_b64":"mJupsWA90sAchksOHrpdB6G0t43Dw7NdFc9MuaYPTPF608YhaE4EzoOtKAnIYfzDgdXy91BXp2FRkOfIDfs1BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e9e57395ae9d5de18368ce1b604a2fd077447ce093dcb606bc9a1fab2d56afa9","last_reissued_at":"2026-05-18T02:20:58.283558Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:20:58.283558Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Topological quantum codes from self-complementary self-dual graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Avaz Naghipour, Mohammad Ali Jafarizadeh, Sedaghat Shahmorad","submitted_at":"2015-03-19T11:09:10Z","abstract_excerpt":"In this paper we present two new classes of binary quantum codes with minimum distance of at least three, by self-complementary self-dual orientable embeddings of voltage graphs and Paley graphs in the Galois field GF(pr), where p is a prime number and r is a positive integer. The parameters of two new classes of quantum codes are [[(2k+2)(8k+ 7); 2(8k^2+7k); d]] and [[(2k+2)(8k+9); 2(8k^2+9k+1); d]] respectively, where d>=3. For these quantum codes, the code rate approaches 1 as k goes to infinity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.05710","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1503.05710","created_at":"2026-05-18T02:20:58.283682+00:00"},{"alias_kind":"arxiv_version","alias_value":"1503.05710v1","created_at":"2026-05-18T02:20:58.283682+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.05710","created_at":"2026-05-18T02:20:58.283682+00:00"},{"alias_kind":"pith_short_12","alias_value":"5HSXHFNOTVO6","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_16","alias_value":"5HSXHFNOTVO6DA3I","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_8","alias_value":"5HSXHFNO","created_at":"2026-05-18T12:29:05.191682+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5HSXHFNOTVO6DA3IZYNWASRP2B","json":"https://pith.science/pith/5HSXHFNOTVO6DA3IZYNWASRP2B.json","graph_json":"https://pith.science/api/pith-number/5HSXHFNOTVO6DA3IZYNWASRP2B/graph.json","events_json":"https://pith.science/api/pith-number/5HSXHFNOTVO6DA3IZYNWASRP2B/events.json","paper":"https://pith.science/paper/5HSXHFNO"},"agent_actions":{"view_html":"https://pith.science/pith/5HSXHFNOTVO6DA3IZYNWASRP2B","download_json":"https://pith.science/pith/5HSXHFNOTVO6DA3IZYNWASRP2B.json","view_paper":"https://pith.science/paper/5HSXHFNO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1503.05710&json=true","fetch_graph":"https://pith.science/api/pith-number/5HSXHFNOTVO6DA3IZYNWASRP2B/graph.json","fetch_events":"https://pith.science/api/pith-number/5HSXHFNOTVO6DA3IZYNWASRP2B/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5HSXHFNOTVO6DA3IZYNWASRP2B/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5HSXHFNOTVO6DA3IZYNWASRP2B/action/storage_attestation","attest_author":"https://pith.science/pith/5HSXHFNOTVO6DA3IZYNWASRP2B/action/author_attestation","sign_citation":"https://pith.science/pith/5HSXHFNOTVO6DA3IZYNWASRP2B/action/citation_signature","submit_replication":"https://pith.science/pith/5HSXHFNOTVO6DA3IZYNWASRP2B/action/replication_record"}},"created_at":"2026-05-18T02:20:58.283682+00:00","updated_at":"2026-05-18T02:20:58.283682+00:00"}