{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:FGGZO5FNHALY66AT5R7RC6QE6F","short_pith_number":"pith:FGGZO5FN","canonical_record":{"source":{"id":"1612.07150","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-12-21T14:45:52Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"62c3941290a50f6db243edee0a6a2d3f4e73e7bf6722c6c7a9dc553cf34c42cc","abstract_canon_sha256":"db50c044fc05b224ba6d9688326d3a37ddf12f6a992a2690ff85aa5fe6f510f4"},"schema_version":"1.0"},"canonical_sha256":"298d9774ad38178f7813ec7f117a04f14ae6d700d5d30ed8c9252147d61bf024","source":{"kind":"arxiv","id":"1612.07150","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.07150","created_at":"2026-05-18T00:44:57Z"},{"alias_kind":"arxiv_version","alias_value":"1612.07150v2","created_at":"2026-05-18T00:44:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.07150","created_at":"2026-05-18T00:44:57Z"},{"alias_kind":"pith_short_12","alias_value":"FGGZO5FNHALY","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FGGZO5FNHALY66AT","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FGGZO5FN","created_at":"2026-05-18T12:30:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:FGGZO5FNHALY66AT5R7RC6QE6F","target":"record","payload":{"canonical_record":{"source":{"id":"1612.07150","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-12-21T14:45:52Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"62c3941290a50f6db243edee0a6a2d3f4e73e7bf6722c6c7a9dc553cf34c42cc","abstract_canon_sha256":"db50c044fc05b224ba6d9688326d3a37ddf12f6a992a2690ff85aa5fe6f510f4"},"schema_version":"1.0"},"canonical_sha256":"298d9774ad38178f7813ec7f117a04f14ae6d700d5d30ed8c9252147d61bf024","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:44:57.531211Z","signature_b64":"jNsk2T38tJadDvvk78C8zdeUtOYm9byFydPt3WMbzJvCu8NSoUC2WhdmdXrCbMQeji/9WEtileggwBjrW/NiBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"298d9774ad38178f7813ec7f117a04f14ae6d700d5d30ed8c9252147d61bf024","last_reissued_at":"2026-05-18T00:44:57.530795Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:44:57.530795Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1612.07150","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":"2026-05-18T00:44:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6HQJR1q7ngC081duPl4tbso8uGpvAAjFSeFki2U2yRcFkAzTElDQ2ruDsZRSmwDpvZP3kGww9OpScRWuwdo9CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T05:53:50.888835Z"},"content_sha256":"167c3c763b2d3302ac5e86045cf4ec939aa82443bdf1479bb32a6f0cfec709a0","schema_version":"1.0","event_id":"sha256:167c3c763b2d3302ac5e86045cf4ec939aa82443bdf1479bb32a6f0cfec709a0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:FGGZO5FNHALY66AT5R7RC6QE6F","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Good and asymptotically good quantum codes derived from algebraic geometry codes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"quant-ph","authors_text":"Francisco Revson F. Pereira, Giuliano Gadioli La Guardia (corresponding author)","submitted_at":"2016-12-21T14:45:52Z","abstract_excerpt":"In this paper we construct several new families of quantum codes with good and asymptotically good parameters. These new quantum codes are derived from (classical) algebraic geometry (AG) codes by applying the Calderbank-Shor-Steane (CSS) construction. Many of these codes have large minimum distances when compared with its code length and they have relatively small Singleton defect. For example, we construct a family [[46; 2(t_2 - t1); d]]_25 of quantum codes, where t_1, t_2 are positive integers such that 1 < t_1 < t_2 < 23 and d >= min {46 - 2t_2, 2t_1-2}, of length n = 46, with minimum dist"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.07150","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":"2026-05-18T00:44:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dqZ62yek08y+KvqFNIQH89aMJkKW6hVq9ltJSOWBtM/h1w+lDYLIUGvIAS9dO7hvmhECRw5YSieT3KEEhbm6Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T05:53:50.889146Z"},"content_sha256":"20af3b91433f3d970a428108749d2a95938a1c5e531350e3fb138ccf094a4c8d","schema_version":"1.0","event_id":"sha256:20af3b91433f3d970a428108749d2a95938a1c5e531350e3fb138ccf094a4c8d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FGGZO5FNHALY66AT5R7RC6QE6F/bundle.json","state_url":"https://pith.science/pith/FGGZO5FNHALY66AT5R7RC6QE6F/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FGGZO5FNHALY66AT5R7RC6QE6F/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":"2026-08-23T05:53:50Z","links":{"resolver":"https://pith.science/pith/FGGZO5FNHALY66AT5R7RC6QE6F","bundle":"https://pith.science/pith/FGGZO5FNHALY66AT5R7RC6QE6F/bundle.json","state":"https://pith.science/pith/FGGZO5FNHALY66AT5R7RC6QE6F/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FGGZO5FNHALY66AT5R7RC6QE6F/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:FGGZO5FNHALY66AT5R7RC6QE6F","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":"db50c044fc05b224ba6d9688326d3a37ddf12f6a992a2690ff85aa5fe6f510f4","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-12-21T14:45:52Z","title_canon_sha256":"62c3941290a50f6db243edee0a6a2d3f4e73e7bf6722c6c7a9dc553cf34c42cc"},"schema_version":"1.0","source":{"id":"1612.07150","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.07150","created_at":"2026-05-18T00:44:57Z"},{"alias_kind":"arxiv_version","alias_value":"1612.07150v2","created_at":"2026-05-18T00:44:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.07150","created_at":"2026-05-18T00:44:57Z"},{"alias_kind":"pith_short_12","alias_value":"FGGZO5FNHALY","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FGGZO5FNHALY66AT","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FGGZO5FN","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:20af3b91433f3d970a428108749d2a95938a1c5e531350e3fb138ccf094a4c8d","target":"graph","created_at":"2026-05-18T00:44:57Z","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":"In this paper we construct several new families of quantum codes with good and asymptotically good parameters. These new quantum codes are derived from (classical) algebraic geometry (AG) codes by applying the Calderbank-Shor-Steane (CSS) construction. Many of these codes have large minimum distances when compared with its code length and they have relatively small Singleton defect. For example, we construct a family [[46; 2(t_2 - t1); d]]_25 of quantum codes, where t_1, t_2 are positive integers such that 1 < t_1 < t_2 < 23 and d >= min {46 - 2t_2, 2t_1-2}, of length n = 46, with minimum dist","authors_text":"Francisco Revson F. Pereira, Giuliano Gadioli La Guardia (corresponding author)","cross_cats":["cs.IT","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-12-21T14:45:52Z","title":"Good and asymptotically good quantum codes derived from algebraic geometry codes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.07150","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":"sha256:167c3c763b2d3302ac5e86045cf4ec939aa82443bdf1479bb32a6f0cfec709a0","target":"record","created_at":"2026-05-18T00:44:57Z","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":"db50c044fc05b224ba6d9688326d3a37ddf12f6a992a2690ff85aa5fe6f510f4","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-12-21T14:45:52Z","title_canon_sha256":"62c3941290a50f6db243edee0a6a2d3f4e73e7bf6722c6c7a9dc553cf34c42cc"},"schema_version":"1.0","source":{"id":"1612.07150","kind":"arxiv","version":2}},"canonical_sha256":"298d9774ad38178f7813ec7f117a04f14ae6d700d5d30ed8c9252147d61bf024","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"298d9774ad38178f7813ec7f117a04f14ae6d700d5d30ed8c9252147d61bf024","first_computed_at":"2026-05-18T00:44:57.530795Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:57.530795Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jNsk2T38tJadDvvk78C8zdeUtOYm9byFydPt3WMbzJvCu8NSoUC2WhdmdXrCbMQeji/9WEtileggwBjrW/NiBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:57.531211Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.07150","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:167c3c763b2d3302ac5e86045cf4ec939aa82443bdf1479bb32a6f0cfec709a0","sha256:20af3b91433f3d970a428108749d2a95938a1c5e531350e3fb138ccf094a4c8d"],"state_sha256":"139a065d5eea233bf88bed63d990d8873c00be138b358ac7bb5a6581cdfe4454"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CqnYRiRy8ydz2IbDxAeksCuVrHlT2Ixqh3+yWn/3BgEPt8AHan3SzUCdWYxUi6uAvDK6v3UhwTN631S16eLZCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-23T05:53:50.892873Z","bundle_sha256":"cde18ce2b0f31111f0e8327494373a662e4047510bd276f597fdf9c42db2354a"}}