{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:QS5KGQYRINOPLS2CSS7ZDDIU7J","short_pith_number":"pith:QS5KGQYR","canonical_record":{"source":{"id":"2210.14074","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-10-25T14:56:31Z","cross_cats_sorted":[],"title_canon_sha256":"8a3a4a5500f3e76690c3313f1c14967ab1167a5d3d99d68204d2167a80f48b96","abstract_canon_sha256":"a924aa8ba53db5a1a07de5e2b6b628b77db9151a6a4f51a0602a3f2b463c782b"},"schema_version":"1.0"},"canonical_sha256":"84baa34311435cf5cb4294bf918d14fa589e18e334df77cbfb19c338317f5db3","source":{"kind":"arxiv","id":"2210.14074","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.14074","created_at":"2026-07-05T10:11:07Z"},{"alias_kind":"arxiv_version","alias_value":"2210.14074v3","created_at":"2026-07-05T10:11:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.14074","created_at":"2026-07-05T10:11:07Z"},{"alias_kind":"pith_short_12","alias_value":"QS5KGQYRINOP","created_at":"2026-07-05T10:11:07Z"},{"alias_kind":"pith_short_16","alias_value":"QS5KGQYRINOPLS2C","created_at":"2026-07-05T10:11:07Z"},{"alias_kind":"pith_short_8","alias_value":"QS5KGQYR","created_at":"2026-07-05T10:11:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:QS5KGQYRINOPLS2CSS7ZDDIU7J","target":"record","payload":{"canonical_record":{"source":{"id":"2210.14074","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-10-25T14:56:31Z","cross_cats_sorted":[],"title_canon_sha256":"8a3a4a5500f3e76690c3313f1c14967ab1167a5d3d99d68204d2167a80f48b96","abstract_canon_sha256":"a924aa8ba53db5a1a07de5e2b6b628b77db9151a6a4f51a0602a3f2b463c782b"},"schema_version":"1.0"},"canonical_sha256":"84baa34311435cf5cb4294bf918d14fa589e18e334df77cbfb19c338317f5db3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:11:07.595723Z","signature_b64":"RHhoNyqGrXnpk2jsjDBVkVTK6Nx43Uac/Xp2cdt5FVSNcoPLukOoNq3yuKEkzdBTzUOaL5I1ZoIzDGRJTMvtAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"84baa34311435cf5cb4294bf918d14fa589e18e334df77cbfb19c338317f5db3","last_reissued_at":"2026-07-05T10:11:07.595150Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:11:07.595150Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2210.14074","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:11:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Klye001RxM5nj/BZKzjxXC36Yi2GiEvtQiPe1p9j6F+tRJI5y3oTJTOc7iecYp3wATuUj94eGXFGdvWN1AoFDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T16:38:46.217732Z"},"content_sha256":"6d105770e8a32129f909ec8c5e9e3a1d01b3ab8a7121326f60ed31984cf6798f","schema_version":"1.0","event_id":"sha256:6d105770e8a32129f909ec8c5e9e3a1d01b3ab8a7121326f60ed31984cf6798f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:QS5KGQYRINOPLS2CSS7ZDDIU7J","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Implementing Clifford Gates on Stabilizer Codes via Measurement","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Alastair Kay, Darren Banfield, Heather Leitch","submitted_at":"2022-10-25T14:56:31Z","abstract_excerpt":"We describe a method to use measurements and correction operations in order to implement the Clifford group in a stabilizer code, generalising a result from [Bombin,2011] for topological subsystem colour codes. In subsystem stabilizer codes of distance at least $3$ the process can be implemented fault-tolerantly. In particular this provides a method to implement a logical Hadamard-type gate within the 15-qubit Reed-Muller quantum code by measuring and correcting only three observables. This is an alternative to the method proposed by [Paetznick and Reichardt, 2013] to generate a set of gates w"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.14074","kind":"arxiv","version":3},"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/2210.14074/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":"2026-07-05T10:11:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lr5fEAn6gyCWTc2zl9qyeAO16XmyVFS2JTEAP/2nha5B605hZb+v0osxBYIuTsbNU5KNsE+4AoGQgaTHejZ6DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T16:38:46.273126Z"},"content_sha256":"2d572f6d28ffbf1a865f6f79f8c1a57eb488a8a54051472de9ca7017a9e46c12","schema_version":"1.0","event_id":"sha256:2d572f6d28ffbf1a865f6f79f8c1a57eb488a8a54051472de9ca7017a9e46c12"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QS5KGQYRINOPLS2CSS7ZDDIU7J/bundle.json","state_url":"https://pith.science/pith/QS5KGQYRINOPLS2CSS7ZDDIU7J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QS5KGQYRINOPLS2CSS7ZDDIU7J/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":"2026-08-08T16:38:46Z","links":{"resolver":"https://pith.science/pith/QS5KGQYRINOPLS2CSS7ZDDIU7J","bundle":"https://pith.science/pith/QS5KGQYRINOPLS2CSS7ZDDIU7J/bundle.json","state":"https://pith.science/pith/QS5KGQYRINOPLS2CSS7ZDDIU7J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QS5KGQYRINOPLS2CSS7ZDDIU7J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:QS5KGQYRINOPLS2CSS7ZDDIU7J","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":"a924aa8ba53db5a1a07de5e2b6b628b77db9151a6a4f51a0602a3f2b463c782b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-10-25T14:56:31Z","title_canon_sha256":"8a3a4a5500f3e76690c3313f1c14967ab1167a5d3d99d68204d2167a80f48b96"},"schema_version":"1.0","source":{"id":"2210.14074","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.14074","created_at":"2026-07-05T10:11:07Z"},{"alias_kind":"arxiv_version","alias_value":"2210.14074v3","created_at":"2026-07-05T10:11:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.14074","created_at":"2026-07-05T10:11:07Z"},{"alias_kind":"pith_short_12","alias_value":"QS5KGQYRINOP","created_at":"2026-07-05T10:11:07Z"},{"alias_kind":"pith_short_16","alias_value":"QS5KGQYRINOPLS2C","created_at":"2026-07-05T10:11:07Z"},{"alias_kind":"pith_short_8","alias_value":"QS5KGQYR","created_at":"2026-07-05T10:11:07Z"}],"graph_snapshots":[{"event_id":"sha256:2d572f6d28ffbf1a865f6f79f8c1a57eb488a8a54051472de9ca7017a9e46c12","target":"graph","created_at":"2026-07-05T10:11:07Z","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/2210.14074/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We describe a method to use measurements and correction operations in order to implement the Clifford group in a stabilizer code, generalising a result from [Bombin,2011] for topological subsystem colour codes. In subsystem stabilizer codes of distance at least $3$ the process can be implemented fault-tolerantly. In particular this provides a method to implement a logical Hadamard-type gate within the 15-qubit Reed-Muller quantum code by measuring and correcting only three observables. This is an alternative to the method proposed by [Paetznick and Reichardt, 2013] to generate a set of gates w","authors_text":"Alastair Kay, Darren Banfield, Heather Leitch","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-10-25T14:56:31Z","title":"Implementing Clifford Gates on Stabilizer Codes via Measurement"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.14074","kind":"arxiv","version":3},"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":"sha256:6d105770e8a32129f909ec8c5e9e3a1d01b3ab8a7121326f60ed31984cf6798f","target":"record","created_at":"2026-07-05T10:11:07Z","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":"a924aa8ba53db5a1a07de5e2b6b628b77db9151a6a4f51a0602a3f2b463c782b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-10-25T14:56:31Z","title_canon_sha256":"8a3a4a5500f3e76690c3313f1c14967ab1167a5d3d99d68204d2167a80f48b96"},"schema_version":"1.0","source":{"id":"2210.14074","kind":"arxiv","version":3}},"canonical_sha256":"84baa34311435cf5cb4294bf918d14fa589e18e334df77cbfb19c338317f5db3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"84baa34311435cf5cb4294bf918d14fa589e18e334df77cbfb19c338317f5db3","first_computed_at":"2026-07-05T10:11:07.595150Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:11:07.595150Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RHhoNyqGrXnpk2jsjDBVkVTK6Nx43Uac/Xp2cdt5FVSNcoPLukOoNq3yuKEkzdBTzUOaL5I1ZoIzDGRJTMvtAA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:11:07.595723Z","signed_message":"canonical_sha256_bytes"},"source_id":"2210.14074","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6d105770e8a32129f909ec8c5e9e3a1d01b3ab8a7121326f60ed31984cf6798f","sha256:2d572f6d28ffbf1a865f6f79f8c1a57eb488a8a54051472de9ca7017a9e46c12"],"state_sha256":"1d619e9c35d799c2eaea1bc381db63a16f608c0ac1b07ec9601c7c9da93012ff"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PMxZ0V4xu86OVByHAhnSZHsLevP9PE0+GDtDZOuKgpeyyyJZDZUV8e04t7QImPfus9y8DfBi/kuSEOVke/O/AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T16:38:46.286519Z","bundle_sha256":"f98e3753d4a33b3a882bc12358c9653b9626addec7df1c89dd3d7cad5f7ac91b"}}