{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:B6A4BFCPZSDNARGL456TG54NYM","short_pith_number":"pith:B6A4BFCP","canonical_record":{"source":{"id":"1102.3605","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-02-17T15:22:15Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"dbb4086aa5ac75673437c1434ad3e51c6dce9c0b19f09448d07fd88622176423","abstract_canon_sha256":"14739e8c00ce8bb893c936d62f5ff760ed2e716e566a67bbb2d374373cf25372"},"schema_version":"1.0"},"canonical_sha256":"0f81c0944fcc86d044cbe77d33778dc32b0afed5358b8f335d8318fe994251e3","source":{"kind":"arxiv","id":"1102.3605","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.3605","created_at":"2026-05-18T04:28:28Z"},{"alias_kind":"arxiv_version","alias_value":"1102.3605v1","created_at":"2026-05-18T04:28:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.3605","created_at":"2026-05-18T04:28:28Z"},{"alias_kind":"pith_short_12","alias_value":"B6A4BFCPZSDN","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"B6A4BFCPZSDNARGL","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"B6A4BFCP","created_at":"2026-05-18T12:26:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:B6A4BFCPZSDNARGL456TG54NYM","target":"record","payload":{"canonical_record":{"source":{"id":"1102.3605","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-02-17T15:22:15Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"dbb4086aa5ac75673437c1434ad3e51c6dce9c0b19f09448d07fd88622176423","abstract_canon_sha256":"14739e8c00ce8bb893c936d62f5ff760ed2e716e566a67bbb2d374373cf25372"},"schema_version":"1.0"},"canonical_sha256":"0f81c0944fcc86d044cbe77d33778dc32b0afed5358b8f335d8318fe994251e3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:28:28.770171Z","signature_b64":"rv/Yl5PmsinBqiVi5Z0g255aOrzg+CZDml6cyK7Uu21pAL0SGWXewhtEoUv+6n4AmnJtRtNHtyskJcZWKZNGCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0f81c0944fcc86d044cbe77d33778dc32b0afed5358b8f335d8318fe994251e3","last_reissued_at":"2026-05-18T04:28:28.769686Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:28:28.769686Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1102.3605","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":"2026-05-18T04:28:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WYeaU8bFr1zQOabtvErCUOqxx3S4D8ijqMmSa2BRn89qw3K74EoCTM6obcqITJbuGhDF/vZ0SkGibyImZY77BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T19:20:16.232078Z"},"content_sha256":"58789ab7e1f18c556f0535118fc814dea37ea2be622edb2b04f09cfdec65d467","schema_version":"1.0","event_id":"sha256:58789ab7e1f18c556f0535118fc814dea37ea2be622edb2b04f09cfdec65d467"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:B6A4BFCPZSDNARGL456TG54NYM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonbinary Quantum Codes from Two-Point Divisors on Hermitian Curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Martianu Frederic Ezerman, Radoslav Kirov","submitted_at":"2011-02-17T15:22:15Z","abstract_excerpt":"Sarvepalli and Klappenecker showed how classical one-point codes on the Hermitian curve can be used to construct quantum codes. Homma and Kim determined the parameters of a larger family of codes, the two-point codes. In quantum error-correction, the observed presence of asymmetry in some quantum channels led to the study of asymmetric quantum codes (AQECCs) where we no longer assume that the different types of errors are equiprobable. This paper considers quantum codes constructed from the two-point codes. In the asymmetric case, we show strict improvements over all possible finite fields for"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.3605","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":"2026-05-18T04:28:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fzk08gnckfnBWqMJb4qxKwsHFfKsPyNNTlLuWie6mynpoJE32crEtlcBNkbyi186LY0nqU8GMrYCU3QCpUl5CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T19:20:16.232843Z"},"content_sha256":"a896191565c5df3ee470febc5da945eba532ae0a2802d9f866b62fa66b9e134d","schema_version":"1.0","event_id":"sha256:a896191565c5df3ee470febc5da945eba532ae0a2802d9f866b62fa66b9e134d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B6A4BFCPZSDNARGL456TG54NYM/bundle.json","state_url":"https://pith.science/pith/B6A4BFCPZSDNARGL456TG54NYM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B6A4BFCPZSDNARGL456TG54NYM/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":"2026-06-09T19:20:16Z","links":{"resolver":"https://pith.science/pith/B6A4BFCPZSDNARGL456TG54NYM","bundle":"https://pith.science/pith/B6A4BFCPZSDNARGL456TG54NYM/bundle.json","state":"https://pith.science/pith/B6A4BFCPZSDNARGL456TG54NYM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B6A4BFCPZSDNARGL456TG54NYM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:B6A4BFCPZSDNARGL456TG54NYM","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":"14739e8c00ce8bb893c936d62f5ff760ed2e716e566a67bbb2d374373cf25372","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-02-17T15:22:15Z","title_canon_sha256":"dbb4086aa5ac75673437c1434ad3e51c6dce9c0b19f09448d07fd88622176423"},"schema_version":"1.0","source":{"id":"1102.3605","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.3605","created_at":"2026-05-18T04:28:28Z"},{"alias_kind":"arxiv_version","alias_value":"1102.3605v1","created_at":"2026-05-18T04:28:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.3605","created_at":"2026-05-18T04:28:28Z"},{"alias_kind":"pith_short_12","alias_value":"B6A4BFCPZSDN","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"B6A4BFCPZSDNARGL","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"B6A4BFCP","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:a896191565c5df3ee470febc5da945eba532ae0a2802d9f866b62fa66b9e134d","target":"graph","created_at":"2026-05-18T04:28:28Z","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":"Sarvepalli and Klappenecker showed how classical one-point codes on the Hermitian curve can be used to construct quantum codes. Homma and Kim determined the parameters of a larger family of codes, the two-point codes. In quantum error-correction, the observed presence of asymmetry in some quantum channels led to the study of asymmetric quantum codes (AQECCs) where we no longer assume that the different types of errors are equiprobable. This paper considers quantum codes constructed from the two-point codes. In the asymmetric case, we show strict improvements over all possible finite fields for","authors_text":"Martianu Frederic Ezerman, Radoslav Kirov","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-02-17T15:22:15Z","title":"Nonbinary Quantum Codes from Two-Point Divisors on Hermitian Curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.3605","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":"sha256:58789ab7e1f18c556f0535118fc814dea37ea2be622edb2b04f09cfdec65d467","target":"record","created_at":"2026-05-18T04:28:28Z","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":"14739e8c00ce8bb893c936d62f5ff760ed2e716e566a67bbb2d374373cf25372","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-02-17T15:22:15Z","title_canon_sha256":"dbb4086aa5ac75673437c1434ad3e51c6dce9c0b19f09448d07fd88622176423"},"schema_version":"1.0","source":{"id":"1102.3605","kind":"arxiv","version":1}},"canonical_sha256":"0f81c0944fcc86d044cbe77d33778dc32b0afed5358b8f335d8318fe994251e3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0f81c0944fcc86d044cbe77d33778dc32b0afed5358b8f335d8318fe994251e3","first_computed_at":"2026-05-18T04:28:28.769686Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:28:28.769686Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rv/Yl5PmsinBqiVi5Z0g255aOrzg+CZDml6cyK7Uu21pAL0SGWXewhtEoUv+6n4AmnJtRtNHtyskJcZWKZNGCA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:28:28.770171Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.3605","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:58789ab7e1f18c556f0535118fc814dea37ea2be622edb2b04f09cfdec65d467","sha256:a896191565c5df3ee470febc5da945eba532ae0a2802d9f866b62fa66b9e134d"],"state_sha256":"acbb21323eeaaf3ff0e9841100eca4edcaa6fc6cf68df094315944a2b8dd8666"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mf/m+2bc509dqrfu4jsobLrtvDk82X9nuQNr2VSbHe2UuqPlAKWuHoVimd9bTw6jw0VCeXNVlDaVnKW7Ue85Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T19:20:16.237184Z","bundle_sha256":"fbc78e859530c10905443fc63ffd4dddee850442915e972ebf269c06aec8b3bd"}}