{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:R34JDBQBI5T7JP54VNK5J4SHIA","short_pith_number":"pith:R34JDBQB","canonical_record":{"source":{"id":"1207.1665","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-07-06T15:36:28Z","cross_cats_sorted":["cond-mat.other","math-ph","math.MP"],"title_canon_sha256":"9c8bb41a89e6e7aa9f6776002974e00a3234fb4d75183d532570fb6c88857913","abstract_canon_sha256":"12d58ff487afa11392784eae0b504e2f97b50ac0011a633ecd7a1030f0ff7b47"},"schema_version":"1.0"},"canonical_sha256":"8ef89186014767f4bfbcab55d4f247402bbbbba19a08729cff9d3e3c44a4b72a","source":{"kind":"arxiv","id":"1207.1665","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.1665","created_at":"2026-05-18T02:58:22Z"},{"alias_kind":"arxiv_version","alias_value":"1207.1665v1","created_at":"2026-05-18T02:58:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.1665","created_at":"2026-05-18T02:58:22Z"},{"alias_kind":"pith_short_12","alias_value":"R34JDBQBI5T7","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"R34JDBQBI5T7JP54","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"R34JDBQB","created_at":"2026-05-18T12:27:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:R34JDBQBI5T7JP54VNK5J4SHIA","target":"record","payload":{"canonical_record":{"source":{"id":"1207.1665","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-07-06T15:36:28Z","cross_cats_sorted":["cond-mat.other","math-ph","math.MP"],"title_canon_sha256":"9c8bb41a89e6e7aa9f6776002974e00a3234fb4d75183d532570fb6c88857913","abstract_canon_sha256":"12d58ff487afa11392784eae0b504e2f97b50ac0011a633ecd7a1030f0ff7b47"},"schema_version":"1.0"},"canonical_sha256":"8ef89186014767f4bfbcab55d4f247402bbbbba19a08729cff9d3e3c44a4b72a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:58:22.197156Z","signature_b64":"gqMAk6xr9TOKeESPQgNhq6i4xbI9zTa10afj6B7CnAXSstVrhDViErY4bJYaHq8Y4H9m/B6q5/LZr9YO7WyIAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8ef89186014767f4bfbcab55d4f247402bbbbba19a08729cff9d3e3c44a4b72a","last_reissued_at":"2026-05-18T02:58:22.196718Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:58:22.196718Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1207.1665","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":"2026-05-18T02:58:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y0Nzn1IjL7vJX4ejuDrERcdqOnj7A0Tk0MpfzdImHD2j+FIUdFY8aUG6sGsMatDMnHRou69C+pYEx1lp59iyCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T18:27:25.136999Z"},"content_sha256":"8857355db1abf2e0c6ff40d7bf62b8c5ec98d409fe95aeb70888169a2420b615","schema_version":"1.0","event_id":"sha256:8857355db1abf2e0c6ff40d7bf62b8c5ec98d409fe95aeb70888169a2420b615"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:R34JDBQBI5T7JP54VNK5J4SHIA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Universality proof and analysis of generalized nested Uhrig dynamical decoupling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"D. A. Lidar, G. A. Paz-Silva, G. Quiroz, W.-J. Kuo","submitted_at":"2012-07-06T15:36:28Z","abstract_excerpt":"Nested Uhrig dynamical decoupling (NUDD) is a highly efficient quantum error suppression scheme that builds on optimized single axis UDD sequences. We prove the universality of NUDD and analyze its suppression of different error types in the setting of generalized control pulses. We present an explicit lower bound for the decoupling order of each error type, which we relate to the sequence orders of the nested UDD layers. We find that the error suppression capabilities of NUDD are strongly dependent on the parities and relative magnitudes of all nested UDD sequence orders. This allows us to pr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.1665","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":"2026-05-18T02:58:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sosHKc5nrjyEXEKr2eso5lKpdIS7fbBVwINLNpkwL2be7MydGQCZTzCS/El187qHSmUcKUiPMLLqH5S4Aqc8AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T18:27:25.137650Z"},"content_sha256":"3e4c9d4c9f2748f930a3c5c9cd536cc7549c585e556fa315ac9dd965c725a799","schema_version":"1.0","event_id":"sha256:3e4c9d4c9f2748f930a3c5c9cd536cc7549c585e556fa315ac9dd965c725a799"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/R34JDBQBI5T7JP54VNK5J4SHIA/bundle.json","state_url":"https://pith.science/pith/R34JDBQBI5T7JP54VNK5J4SHIA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/R34JDBQBI5T7JP54VNK5J4SHIA/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":"2026-05-31T18:27:25Z","links":{"resolver":"https://pith.science/pith/R34JDBQBI5T7JP54VNK5J4SHIA","bundle":"https://pith.science/pith/R34JDBQBI5T7JP54VNK5J4SHIA/bundle.json","state":"https://pith.science/pith/R34JDBQBI5T7JP54VNK5J4SHIA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/R34JDBQBI5T7JP54VNK5J4SHIA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:R34JDBQBI5T7JP54VNK5J4SHIA","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":"12d58ff487afa11392784eae0b504e2f97b50ac0011a633ecd7a1030f0ff7b47","cross_cats_sorted":["cond-mat.other","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-07-06T15:36:28Z","title_canon_sha256":"9c8bb41a89e6e7aa9f6776002974e00a3234fb4d75183d532570fb6c88857913"},"schema_version":"1.0","source":{"id":"1207.1665","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.1665","created_at":"2026-05-18T02:58:22Z"},{"alias_kind":"arxiv_version","alias_value":"1207.1665v1","created_at":"2026-05-18T02:58:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.1665","created_at":"2026-05-18T02:58:22Z"},{"alias_kind":"pith_short_12","alias_value":"R34JDBQBI5T7","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"R34JDBQBI5T7JP54","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"R34JDBQB","created_at":"2026-05-18T12:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:3e4c9d4c9f2748f930a3c5c9cd536cc7549c585e556fa315ac9dd965c725a799","target":"graph","created_at":"2026-05-18T02:58:22Z","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":"Nested Uhrig dynamical decoupling (NUDD) is a highly efficient quantum error suppression scheme that builds on optimized single axis UDD sequences. We prove the universality of NUDD and analyze its suppression of different error types in the setting of generalized control pulses. We present an explicit lower bound for the decoupling order of each error type, which we relate to the sequence orders of the nested UDD layers. We find that the error suppression capabilities of NUDD are strongly dependent on the parities and relative magnitudes of all nested UDD sequence orders. This allows us to pr","authors_text":"D. A. Lidar, G. A. Paz-Silva, G. Quiroz, W.-J. Kuo","cross_cats":["cond-mat.other","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-07-06T15:36:28Z","title":"Universality proof and analysis of generalized nested Uhrig dynamical decoupling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.1665","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":"sha256:8857355db1abf2e0c6ff40d7bf62b8c5ec98d409fe95aeb70888169a2420b615","target":"record","created_at":"2026-05-18T02:58:22Z","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":"12d58ff487afa11392784eae0b504e2f97b50ac0011a633ecd7a1030f0ff7b47","cross_cats_sorted":["cond-mat.other","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-07-06T15:36:28Z","title_canon_sha256":"9c8bb41a89e6e7aa9f6776002974e00a3234fb4d75183d532570fb6c88857913"},"schema_version":"1.0","source":{"id":"1207.1665","kind":"arxiv","version":1}},"canonical_sha256":"8ef89186014767f4bfbcab55d4f247402bbbbba19a08729cff9d3e3c44a4b72a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8ef89186014767f4bfbcab55d4f247402bbbbba19a08729cff9d3e3c44a4b72a","first_computed_at":"2026-05-18T02:58:22.196718Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:58:22.196718Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gqMAk6xr9TOKeESPQgNhq6i4xbI9zTa10afj6B7CnAXSstVrhDViErY4bJYaHq8Y4H9m/B6q5/LZr9YO7WyIAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:58:22.197156Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.1665","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8857355db1abf2e0c6ff40d7bf62b8c5ec98d409fe95aeb70888169a2420b615","sha256:3e4c9d4c9f2748f930a3c5c9cd536cc7549c585e556fa315ac9dd965c725a799"],"state_sha256":"4b706b20aa1b8d275a6894e1a386e38ec4cea83341d78aec7c7ce86f6dbf91e9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JPA9occljYHEiqHB4rEDhNRNXWcw/9csh8l6pNcM8nK0s35gPbON9wSaX17CkVW+1cdYWMADWcF+QxweTK6fDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T18:27:25.140752Z","bundle_sha256":"64c914c40328e302ac0a98713259dce249577385cefa31fdd86cb864f1bd4b8f"}}