{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:3QD4YUUDL4QLR4PKLIKE4MUAT4","short_pith_number":"pith:3QD4YUUD","canonical_record":{"source":{"id":"1307.4532","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-07-17T08:29:12Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"2c965218a9508329d2bde2e2d185485eabcf9ca393df7734be6df0183c2848da","abstract_canon_sha256":"58cf0fabd1d3ba1e285a4d4c12550ae7d890b6f34675674f6569b18fd5ffa4b8"},"schema_version":"1.0"},"canonical_sha256":"dc07cc52835f20b8f1ea5a144e32809f15d739d9609265fc059052adfc2936bb","source":{"kind":"arxiv","id":"1307.4532","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.4532","created_at":"2026-05-18T01:17:05Z"},{"alias_kind":"arxiv_version","alias_value":"1307.4532v2","created_at":"2026-05-18T01:17:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.4532","created_at":"2026-05-18T01:17:05Z"},{"alias_kind":"pith_short_12","alias_value":"3QD4YUUDL4QL","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"3QD4YUUDL4QLR4PK","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"3QD4YUUD","created_at":"2026-05-18T12:27:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:3QD4YUUDL4QLR4PKLIKE4MUAT4","target":"record","payload":{"canonical_record":{"source":{"id":"1307.4532","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-07-17T08:29:12Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"2c965218a9508329d2bde2e2d185485eabcf9ca393df7734be6df0183c2848da","abstract_canon_sha256":"58cf0fabd1d3ba1e285a4d4c12550ae7d890b6f34675674f6569b18fd5ffa4b8"},"schema_version":"1.0"},"canonical_sha256":"dc07cc52835f20b8f1ea5a144e32809f15d739d9609265fc059052adfc2936bb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:05.818258Z","signature_b64":"U6mtA6+abIdwb7SmAVLljgd3TagqkoDDriCM71hru0ez9tPnWTtEae1wkXKjnyc9sW+NOVpkyuCZ3mHxHjj1Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dc07cc52835f20b8f1ea5a144e32809f15d739d9609265fc059052adfc2936bb","last_reissued_at":"2026-05-18T01:17:05.817407Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:05.817407Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1307.4532","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:17:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NTvWtODBzhKPCFBuiW8/enM6FP9FRwF9iDd8KCcHSbL0V2efsKOIqBbNPP4eSQgpF/AqrWVzZ44x/iG/oI1LBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-18T21:56:04.400084Z"},"content_sha256":"d04089228fa7c85fff8001e487118e603a88ada0056611194f5b2c81e0b42244","schema_version":"1.0","event_id":"sha256:d04089228fa7c85fff8001e487118e603a88ada0056611194f5b2c81e0b42244"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:3QD4YUUDL4QLR4PKLIKE4MUAT4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Xing-Ling Codes, Duals of their Subcodes, and Good Asymmetric Quantum Codes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Martianus Frederic Ezerman, Patrick Sol\\'e, Somphong Jitman","submitted_at":"2013-07-17T08:29:12Z","abstract_excerpt":"A class of powerful $q$-ary linear polynomial codes originally proposed by Xing and Ling is deployed to construct good asymmetric quantum codes via the standard CSS construction. Our quantum codes are $q$-ary block codes that encode $k$ qudits of quantum information into $n$ qudits and correct up to $\\flr{(d_{x}-1)/2}$ bit-flip errors and up to $\\flr{(d_{z}-1)/2}$ phase-flip errors.. In many cases where the length $(q^{2}-q)/2 \\leq n \\leq (q^{2}+q)/2$ and the field size $q$ are fixed and for chosen values of $d_{x} \\in \\{2,3,4,5\\}$ and $d_{z} \\ge \\delta$, where $\\delta$ is the designed distanc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.4532","kind":"arxiv","version":2},"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":"2026-05-18T01:17:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rbYolNoIcpkISqQoaXwjtKgE4HtzheGqoyHL1a9+Rt1s5yD6f5fPOas/rnfPPbJ/5NeYeWeqn0969YuQbx/yAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-18T21:56:04.400654Z"},"content_sha256":"8732fe0613031da4f2a31724261bf1c4277d8f54193bc6a08131d7724b41c979","schema_version":"1.0","event_id":"sha256:8732fe0613031da4f2a31724261bf1c4277d8f54193bc6a08131d7724b41c979"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3QD4YUUDL4QLR4PKLIKE4MUAT4/bundle.json","state_url":"https://pith.science/pith/3QD4YUUDL4QLR4PKLIKE4MUAT4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3QD4YUUDL4QLR4PKLIKE4MUAT4/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":"2026-05-18T21:56:04Z","links":{"resolver":"https://pith.science/pith/3QD4YUUDL4QLR4PKLIKE4MUAT4","bundle":"https://pith.science/pith/3QD4YUUDL4QLR4PKLIKE4MUAT4/bundle.json","state":"https://pith.science/pith/3QD4YUUDL4QLR4PKLIKE4MUAT4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3QD4YUUDL4QLR4PKLIKE4MUAT4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:3QD4YUUDL4QLR4PKLIKE4MUAT4","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":"58cf0fabd1d3ba1e285a4d4c12550ae7d890b6f34675674f6569b18fd5ffa4b8","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-07-17T08:29:12Z","title_canon_sha256":"2c965218a9508329d2bde2e2d185485eabcf9ca393df7734be6df0183c2848da"},"schema_version":"1.0","source":{"id":"1307.4532","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.4532","created_at":"2026-05-18T01:17:05Z"},{"alias_kind":"arxiv_version","alias_value":"1307.4532v2","created_at":"2026-05-18T01:17:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.4532","created_at":"2026-05-18T01:17:05Z"},{"alias_kind":"pith_short_12","alias_value":"3QD4YUUDL4QL","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"3QD4YUUDL4QLR4PK","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"3QD4YUUD","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:8732fe0613031da4f2a31724261bf1c4277d8f54193bc6a08131d7724b41c979","target":"graph","created_at":"2026-05-18T01:17:05Z","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":"A class of powerful $q$-ary linear polynomial codes originally proposed by Xing and Ling is deployed to construct good asymmetric quantum codes via the standard CSS construction. Our quantum codes are $q$-ary block codes that encode $k$ qudits of quantum information into $n$ qudits and correct up to $\\flr{(d_{x}-1)/2}$ bit-flip errors and up to $\\flr{(d_{z}-1)/2}$ phase-flip errors.. In many cases where the length $(q^{2}-q)/2 \\leq n \\leq (q^{2}+q)/2$ and the field size $q$ are fixed and for chosen values of $d_{x} \\in \\{2,3,4,5\\}$ and $d_{z} \\ge \\delta$, where $\\delta$ is the designed distanc","authors_text":"Martianus Frederic Ezerman, Patrick Sol\\'e, Somphong Jitman","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-07-17T08:29:12Z","title":"Xing-Ling Codes, Duals of their Subcodes, and Good Asymmetric Quantum Codes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.4532","kind":"arxiv","version":2},"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:d04089228fa7c85fff8001e487118e603a88ada0056611194f5b2c81e0b42244","target":"record","created_at":"2026-05-18T01:17:05Z","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":"58cf0fabd1d3ba1e285a4d4c12550ae7d890b6f34675674f6569b18fd5ffa4b8","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-07-17T08:29:12Z","title_canon_sha256":"2c965218a9508329d2bde2e2d185485eabcf9ca393df7734be6df0183c2848da"},"schema_version":"1.0","source":{"id":"1307.4532","kind":"arxiv","version":2}},"canonical_sha256":"dc07cc52835f20b8f1ea5a144e32809f15d739d9609265fc059052adfc2936bb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dc07cc52835f20b8f1ea5a144e32809f15d739d9609265fc059052adfc2936bb","first_computed_at":"2026-05-18T01:17:05.817407Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:05.817407Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"U6mtA6+abIdwb7SmAVLljgd3TagqkoDDriCM71hru0ez9tPnWTtEae1wkXKjnyc9sW+NOVpkyuCZ3mHxHjj1Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:05.818258Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.4532","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d04089228fa7c85fff8001e487118e603a88ada0056611194f5b2c81e0b42244","sha256:8732fe0613031da4f2a31724261bf1c4277d8f54193bc6a08131d7724b41c979"],"state_sha256":"bfe9386b43d85acefc2c63ea7574069f9ea16432c8b39162c5e70b8c9059f2b9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dVnFGmpSvEDrB7OuLiqCbURwxwe1nUNtmSGByZCEgeIuqnYXWS79tzKShvX/uFHrL8jPolh3JLTPKODqWdnWBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-18T21:56:04.402470Z","bundle_sha256":"8fe482bd01d9ede9fc23b7fc16e41f2909b5a053a78c633c5b134baa3fc3ab3c"}}