{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:T7DDY6XERV6AG7EE6CMMXQTM24","short_pith_number":"pith:T7DDY6XE","canonical_record":{"source":{"id":"quant-ph/0606107","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2006-06-13T05:26:21Z","cross_cats_sorted":["cond-mat.other"],"title_canon_sha256":"ed159534b334b8ddf82b28a10e6f0b9ff9be63cc0ede92d71504304d9c2fcfb0","abstract_canon_sha256":"9f20c323383a03bc0c85ab0b9b1fd86c9ad903a61f0218731701e1f99e4e8524"},"schema_version":"1.0"},"canonical_sha256":"9fc63c7ae48d7c037c84f098cbc26cd7231b001233319f26268a5bb0f32afff2","source":{"kind":"arxiv","id":"quant-ph/0606107","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0606107","created_at":"2026-05-18T01:37:56Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0606107v1","created_at":"2026-05-18T01:37:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0606107","created_at":"2026-05-18T01:37:56Z"},{"alias_kind":"pith_short_12","alias_value":"T7DDY6XERV6A","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"T7DDY6XERV6AG7EE","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"T7DDY6XE","created_at":"2026-05-18T12:25:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:T7DDY6XERV6AG7EE6CMMXQTM24","target":"record","payload":{"canonical_record":{"source":{"id":"quant-ph/0606107","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2006-06-13T05:26:21Z","cross_cats_sorted":["cond-mat.other"],"title_canon_sha256":"ed159534b334b8ddf82b28a10e6f0b9ff9be63cc0ede92d71504304d9c2fcfb0","abstract_canon_sha256":"9f20c323383a03bc0c85ab0b9b1fd86c9ad903a61f0218731701e1f99e4e8524"},"schema_version":"1.0"},"canonical_sha256":"9fc63c7ae48d7c037c84f098cbc26cd7231b001233319f26268a5bb0f32afff2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:37:56.490407Z","signature_b64":"bwjsscBXhaLJ5gi4q2N/gGadh3oau35Sv6j4UBuVzl4MMhwD5M0BjMiQsqf8H6R0RTW/9NEIqp+0IbF425jwCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9fc63c7ae48d7c037c84f098cbc26cd7231b001233319f26268a5bb0f32afff2","last_reissued_at":"2026-05-18T01:37:56.489688Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:37:56.489688Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"quant-ph/0606107","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":"2026-05-18T01:37:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C/HV5RJqA1JAQ8qfCDjYOLWADUsYbEg0W7+gLwYF2iAK+JsxgkH46RZlIvzOHvQ3uCnzXEwkGgH5wWp9CGMoDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T21:27:34.772624Z"},"content_sha256":"bfb5efab728a1b7e2cbe955c509eba2d6c97907254a27524aa657ca09e7ac701","schema_version":"1.0","event_id":"sha256:bfb5efab728a1b7e2cbe955c509eba2d6c97907254a27524aa657ca09e7ac701"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:T7DDY6XERV6AG7EE6CMMXQTM24","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Asymmetric quantum error correcting codes","license":"","headline":"","cross_cats":["cond-mat.other"],"primary_cat":"quant-ph","authors_text":"Lev Ioffe, Marc Mezard (LPTMS)","submitted_at":"2006-06-13T05:26:21Z","abstract_excerpt":"The noise in physical qubits is fundamentally asymmetric: in most devices, phase errors are much more probable than bit flips. We propose a quantum error correcting code which takes advantage of this asymmetry and shows good performance at a relatively small cost in redundancy, requiring less than a doubling of the number of physical qubits for error correction."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0606107","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":"2026-05-18T01:37:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gSKMIHZFn+pW5F65/5qzbUEl8X0iVPXVy1eU4yaLWstzqmFpDgEQ66xMCkgxFhxgGyyIwr9F4I3UdhI2gtvPAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T21:27:34.772960Z"},"content_sha256":"17b819462d7e3877447e04587ae63ce5f3d5a60bdd9e829dab97d76a75a6bcca","schema_version":"1.0","event_id":"sha256:17b819462d7e3877447e04587ae63ce5f3d5a60bdd9e829dab97d76a75a6bcca"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/T7DDY6XERV6AG7EE6CMMXQTM24/bundle.json","state_url":"https://pith.science/pith/T7DDY6XERV6AG7EE6CMMXQTM24/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/T7DDY6XERV6AG7EE6CMMXQTM24/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":"2026-07-02T21:27:34Z","links":{"resolver":"https://pith.science/pith/T7DDY6XERV6AG7EE6CMMXQTM24","bundle":"https://pith.science/pith/T7DDY6XERV6AG7EE6CMMXQTM24/bundle.json","state":"https://pith.science/pith/T7DDY6XERV6AG7EE6CMMXQTM24/state.json","well_known_bundle":"https://pith.science/.well-known/pith/T7DDY6XERV6AG7EE6CMMXQTM24/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:T7DDY6XERV6AG7EE6CMMXQTM24","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":"9f20c323383a03bc0c85ab0b9b1fd86c9ad903a61f0218731701e1f99e4e8524","cross_cats_sorted":["cond-mat.other"],"license":"","primary_cat":"quant-ph","submitted_at":"2006-06-13T05:26:21Z","title_canon_sha256":"ed159534b334b8ddf82b28a10e6f0b9ff9be63cc0ede92d71504304d9c2fcfb0"},"schema_version":"1.0","source":{"id":"quant-ph/0606107","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0606107","created_at":"2026-05-18T01:37:56Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0606107v1","created_at":"2026-05-18T01:37:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0606107","created_at":"2026-05-18T01:37:56Z"},{"alias_kind":"pith_short_12","alias_value":"T7DDY6XERV6A","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"T7DDY6XERV6AG7EE","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"T7DDY6XE","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:17b819462d7e3877447e04587ae63ce5f3d5a60bdd9e829dab97d76a75a6bcca","target":"graph","created_at":"2026-05-18T01:37:56Z","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":"The noise in physical qubits is fundamentally asymmetric: in most devices, phase errors are much more probable than bit flips. We propose a quantum error correcting code which takes advantage of this asymmetry and shows good performance at a relatively small cost in redundancy, requiring less than a doubling of the number of physical qubits for error correction.","authors_text":"Lev Ioffe, Marc Mezard (LPTMS)","cross_cats":["cond-mat.other"],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2006-06-13T05:26:21Z","title":"Asymmetric quantum error correcting codes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0606107","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:bfb5efab728a1b7e2cbe955c509eba2d6c97907254a27524aa657ca09e7ac701","target":"record","created_at":"2026-05-18T01:37:56Z","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":"9f20c323383a03bc0c85ab0b9b1fd86c9ad903a61f0218731701e1f99e4e8524","cross_cats_sorted":["cond-mat.other"],"license":"","primary_cat":"quant-ph","submitted_at":"2006-06-13T05:26:21Z","title_canon_sha256":"ed159534b334b8ddf82b28a10e6f0b9ff9be63cc0ede92d71504304d9c2fcfb0"},"schema_version":"1.0","source":{"id":"quant-ph/0606107","kind":"arxiv","version":1}},"canonical_sha256":"9fc63c7ae48d7c037c84f098cbc26cd7231b001233319f26268a5bb0f32afff2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9fc63c7ae48d7c037c84f098cbc26cd7231b001233319f26268a5bb0f32afff2","first_computed_at":"2026-05-18T01:37:56.489688Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:56.489688Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bwjsscBXhaLJ5gi4q2N/gGadh3oau35Sv6j4UBuVzl4MMhwD5M0BjMiQsqf8H6R0RTW/9NEIqp+0IbF425jwCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:56.490407Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0606107","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bfb5efab728a1b7e2cbe955c509eba2d6c97907254a27524aa657ca09e7ac701","sha256:17b819462d7e3877447e04587ae63ce5f3d5a60bdd9e829dab97d76a75a6bcca"],"state_sha256":"2fa95ceef6db0b84072b00980974cc28d30d7be3793217b7d091231b8c14a51b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SeFyc5DSi3OGWmnyhzQvm5MUeq2nxaOl+zriUk6h8j/CAT8aifZT7gsA0/hmZf/oS6i338imZsYgGr/zsZ29Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T21:27:34.774785Z","bundle_sha256":"4b816c91cd378826e9d79f3e134d869441ad52a77d64a9e05dbc6e7b52e98378"}}