{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:PM4UH2B74WOGV2O5WCAPXXHU3I","short_pith_number":"pith:PM4UH2B7","canonical_record":{"source":{"id":"2412.09518","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-12-12T18:01:54Z","cross_cats_sorted":[],"title_canon_sha256":"cfd9059fb24a7fc18007b16bc58dd0473b4e91c6675026f0118fdbfea4fd60b7","abstract_canon_sha256":"c81cea2c2972b06baf0258344f3b2fe3967b7374fb3226ecabf1326720f97a4b"},"schema_version":"1.0"},"canonical_sha256":"7b3943e83fe59c6ae9ddb080fbdcf4da1b7b608486108bf00a472b641502d7d7","source":{"kind":"arxiv","id":"2412.09518","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.09518","created_at":"2026-07-05T09:48:25Z"},{"alias_kind":"arxiv_version","alias_value":"2412.09518v1","created_at":"2026-07-05T09:48:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.09518","created_at":"2026-07-05T09:48:25Z"},{"alias_kind":"pith_short_12","alias_value":"PM4UH2B74WOG","created_at":"2026-07-05T09:48:25Z"},{"alias_kind":"pith_short_16","alias_value":"PM4UH2B74WOGV2O5","created_at":"2026-07-05T09:48:25Z"},{"alias_kind":"pith_short_8","alias_value":"PM4UH2B7","created_at":"2026-07-05T09:48:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:PM4UH2B74WOGV2O5WCAPXXHU3I","target":"record","payload":{"canonical_record":{"source":{"id":"2412.09518","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-12-12T18:01:54Z","cross_cats_sorted":[],"title_canon_sha256":"cfd9059fb24a7fc18007b16bc58dd0473b4e91c6675026f0118fdbfea4fd60b7","abstract_canon_sha256":"c81cea2c2972b06baf0258344f3b2fe3967b7374fb3226ecabf1326720f97a4b"},"schema_version":"1.0"},"canonical_sha256":"7b3943e83fe59c6ae9ddb080fbdcf4da1b7b608486108bf00a472b641502d7d7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:48:25.676221Z","signature_b64":"v3hqArnwUuWL0iJMdQglYc57NqmD4dCfKJUbFUNOl5qspCU7YBbx0Ndx3jcaxiZkV74bGi4ZoxbcovT/UG9VDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7b3943e83fe59c6ae9ddb080fbdcf4da1b7b608486108bf00a472b641502d7d7","last_reissued_at":"2026-07-05T09:48:25.675723Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:48:25.675723Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2412.09518","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":"2026-07-05T09:48:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sn9M6SfO8Wg6oKrKGoqdk/4v+RjnliuiQ5zBEFSxnsOa8DFWz3Po68zioqfUohL/a5pL+l2GPDO8x2B71SZECQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T10:50:10.096630Z"},"content_sha256":"7939c0c6f035b083ddde4e21318f35fb86e8a04d16972d19d6c333e1bb98308f","schema_version":"1.0","event_id":"sha256:7939c0c6f035b083ddde4e21318f35fb86e8a04d16972d19d6c333e1bb98308f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:PM4UH2B74WOGV2O5WCAPXXHU3I","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Clifford Perturbation Approximation for Quantum Error Mitigation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Fuchuan Wei, Ruiqi Zhang, Song Cheng, Yuguo Shao, Zhaohui Wei, Zhengwei Liu","submitted_at":"2024-12-12T18:01:54Z","abstract_excerpt":"Quantum error mitigation (QEM) is critical for harnessing the potential of near-term quantum devices. Particularly, QEM protocols can be designed based on machine learning, where the mapping between noisy computational outputs and ideal ones can be learned on a training set consisting of Clifford circuits or near-Clifford circuits that contain only a limited number of non-Clifford gates. This learned mapping is then applied to noisy target circuits to estimate the ideal computational output. In this work, we propose a learning-based error mitigation framework called Clifford Perturbation Data "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.09518","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2412.09518/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T09:48:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C4pGzk8HJrxweJE6I4FO4mARVszXw09VS89K1IoMSMihlbR6szEmcoIRuAG9D1vI/5hGlFWAXVegVVOQiWe7Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T10:50:10.097164Z"},"content_sha256":"1c2d6a7e75275176b265ddfbee3203574c3fb26ccb01e04f039540b04801039e","schema_version":"1.0","event_id":"sha256:1c2d6a7e75275176b265ddfbee3203574c3fb26ccb01e04f039540b04801039e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PM4UH2B74WOGV2O5WCAPXXHU3I/bundle.json","state_url":"https://pith.science/pith/PM4UH2B74WOGV2O5WCAPXXHU3I/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PM4UH2B74WOGV2O5WCAPXXHU3I/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":"2026-08-10T10:50:10Z","links":{"resolver":"https://pith.science/pith/PM4UH2B74WOGV2O5WCAPXXHU3I","bundle":"https://pith.science/pith/PM4UH2B74WOGV2O5WCAPXXHU3I/bundle.json","state":"https://pith.science/pith/PM4UH2B74WOGV2O5WCAPXXHU3I/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PM4UH2B74WOGV2O5WCAPXXHU3I/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:PM4UH2B74WOGV2O5WCAPXXHU3I","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":"c81cea2c2972b06baf0258344f3b2fe3967b7374fb3226ecabf1326720f97a4b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-12-12T18:01:54Z","title_canon_sha256":"cfd9059fb24a7fc18007b16bc58dd0473b4e91c6675026f0118fdbfea4fd60b7"},"schema_version":"1.0","source":{"id":"2412.09518","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.09518","created_at":"2026-07-05T09:48:25Z"},{"alias_kind":"arxiv_version","alias_value":"2412.09518v1","created_at":"2026-07-05T09:48:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.09518","created_at":"2026-07-05T09:48:25Z"},{"alias_kind":"pith_short_12","alias_value":"PM4UH2B74WOG","created_at":"2026-07-05T09:48:25Z"},{"alias_kind":"pith_short_16","alias_value":"PM4UH2B74WOGV2O5","created_at":"2026-07-05T09:48:25Z"},{"alias_kind":"pith_short_8","alias_value":"PM4UH2B7","created_at":"2026-07-05T09:48:25Z"}],"graph_snapshots":[{"event_id":"sha256:1c2d6a7e75275176b265ddfbee3203574c3fb26ccb01e04f039540b04801039e","target":"graph","created_at":"2026-07-05T09:48:25Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2412.09518/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Quantum error mitigation (QEM) is critical for harnessing the potential of near-term quantum devices. Particularly, QEM protocols can be designed based on machine learning, where the mapping between noisy computational outputs and ideal ones can be learned on a training set consisting of Clifford circuits or near-Clifford circuits that contain only a limited number of non-Clifford gates. This learned mapping is then applied to noisy target circuits to estimate the ideal computational output. In this work, we propose a learning-based error mitigation framework called Clifford Perturbation Data ","authors_text":"Fuchuan Wei, Ruiqi Zhang, Song Cheng, Yuguo Shao, Zhaohui Wei, Zhengwei Liu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-12-12T18:01:54Z","title":"Clifford Perturbation Approximation for Quantum Error Mitigation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.09518","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":"sha256:7939c0c6f035b083ddde4e21318f35fb86e8a04d16972d19d6c333e1bb98308f","target":"record","created_at":"2026-07-05T09:48:25Z","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":"c81cea2c2972b06baf0258344f3b2fe3967b7374fb3226ecabf1326720f97a4b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-12-12T18:01:54Z","title_canon_sha256":"cfd9059fb24a7fc18007b16bc58dd0473b4e91c6675026f0118fdbfea4fd60b7"},"schema_version":"1.0","source":{"id":"2412.09518","kind":"arxiv","version":1}},"canonical_sha256":"7b3943e83fe59c6ae9ddb080fbdcf4da1b7b608486108bf00a472b641502d7d7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7b3943e83fe59c6ae9ddb080fbdcf4da1b7b608486108bf00a472b641502d7d7","first_computed_at":"2026-07-05T09:48:25.675723Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:48:25.675723Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"v3hqArnwUuWL0iJMdQglYc57NqmD4dCfKJUbFUNOl5qspCU7YBbx0Ndx3jcaxiZkV74bGi4ZoxbcovT/UG9VDA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:48:25.676221Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.09518","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7939c0c6f035b083ddde4e21318f35fb86e8a04d16972d19d6c333e1bb98308f","sha256:1c2d6a7e75275176b265ddfbee3203574c3fb26ccb01e04f039540b04801039e"],"state_sha256":"cf813a04e71c01aa4c65136c5eacba87dc5d8d4a76dce9f455f2a1031cc36586"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Nj8aXTM7dyPlNKTQqlnLul1XleC8jGVfDyqeQV9JyHK9adjQRSv3EHkcw5LvTmbAu5gENqXu/ay5S47i7UB+Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T10:50:10.101711Z","bundle_sha256":"af03a8d3c9ab3f8e0cd01de39cbfbff0048c18e7e47fe12ed3546699489ec952"}}