{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:MVC3UREWUE2GN4EFZQNIXZ6ANF","short_pith_number":"pith:MVC3UREW","canonical_record":{"source":{"id":"2012.06074","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2020-12-11T01:33:17Z","cross_cats_sorted":["cs.ET"],"title_canon_sha256":"52a7b3bf47b133bed6fb81f1dcef75c9658bd450929ec34d7992573e156a9b78","abstract_canon_sha256":"e68f531cc2790f7589660fe55e041ac7afeeb8e6e8ec83607a573cffe84ed260"},"schema_version":"1.0"},"canonical_sha256":"6545ba4496a13466f085cc1a8be7c06953b4693266e4f86e33098a4562690390","source":{"kind":"arxiv","id":"2012.06074","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2012.06074","created_at":"2026-07-05T04:51:19Z"},{"alias_kind":"arxiv_version","alias_value":"2012.06074v2","created_at":"2026-07-05T04:51:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2012.06074","created_at":"2026-07-05T04:51:19Z"},{"alias_kind":"pith_short_12","alias_value":"MVC3UREWUE2G","created_at":"2026-07-05T04:51:19Z"},{"alias_kind":"pith_short_16","alias_value":"MVC3UREWUE2GN4EF","created_at":"2026-07-05T04:51:19Z"},{"alias_kind":"pith_short_8","alias_value":"MVC3UREW","created_at":"2026-07-05T04:51:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:MVC3UREWUE2GN4EFZQNIXZ6ANF","target":"record","payload":{"canonical_record":{"source":{"id":"2012.06074","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2020-12-11T01:33:17Z","cross_cats_sorted":["cs.ET"],"title_canon_sha256":"52a7b3bf47b133bed6fb81f1dcef75c9658bd450929ec34d7992573e156a9b78","abstract_canon_sha256":"e68f531cc2790f7589660fe55e041ac7afeeb8e6e8ec83607a573cffe84ed260"},"schema_version":"1.0"},"canonical_sha256":"6545ba4496a13466f085cc1a8be7c06953b4693266e4f86e33098a4562690390","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:51:19.413676Z","signature_b64":"g4zPdnCtNRE0EjVpVW0ZaY4B9gyweHne+BebY1teaksz5bU73c+3HV/GVmAvUPj7TRmg8okHb241ztmx9LmXDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6545ba4496a13466f085cc1a8be7c06953b4693266e4f86e33098a4562690390","last_reissued_at":"2026-07-05T04:51:19.413169Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:51:19.413169Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2012.06074","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":"2026-07-05T04:51:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SW5v7ecx9jswYG7C0OSFpzU3dwKzViARmB4rPult9aQHoLc3DmkDXmCUevzWVDp8Kv9pchvjPjlvpzQs3BmlAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-31T19:12:28.032070Z"},"content_sha256":"d94b278a95b1c19b07054bced41546e19d6693c16095e6bd7ad94bd2f6d41c68","schema_version":"1.0","event_id":"sha256:d94b278a95b1c19b07054bced41546e19d6693c16095e6bd7ad94bd2f6d41c68"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:MVC3UREWUE2GN4EFZQNIXZ6ANF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"6-qubit Optimal Clifford Circuits","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.ET"],"primary_cat":"quant-ph","authors_text":"Dmitri Maslov, Joseph A. Latone, Sergey Bravyi","submitted_at":"2020-12-11T01:33:17Z","abstract_excerpt":"Clifford group lies at the core of quantum computation -- it underlies quantum error correction, its elements can be used to perform magic state distillation and they form randomized benchmarking protocols, Clifford group is used to study quantum entanglement, and more. The ability to utilize Clifford group elements in practice relies heavily on the efficiency of their circuit-level implementation. Finding short circuits is a hard problem; despite Clifford group being finite, its size grows quickly with the number of qubits $n$, limiting known optimal implementations to $n{=}4$ qubits. For $n{"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2012.06074","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2012.06074/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":"2026-07-05T04:51:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xngcMTNvrqi7m1sR9dW1fFNFzlYx8lMt3+CHhsv374nQAcTH2hh1T/VCvt3TZZkmSIzTUYxhvhyzUatLiw2DAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-31T19:12:28.032374Z"},"content_sha256":"f805dc509d4ba11788ca788375b11586b50ef1608fb0e6dee276310f9b60ae5e","schema_version":"1.0","event_id":"sha256:f805dc509d4ba11788ca788375b11586b50ef1608fb0e6dee276310f9b60ae5e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MVC3UREWUE2GN4EFZQNIXZ6ANF/bundle.json","state_url":"https://pith.science/pith/MVC3UREWUE2GN4EFZQNIXZ6ANF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MVC3UREWUE2GN4EFZQNIXZ6ANF/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":"2026-07-31T19:12:28Z","links":{"resolver":"https://pith.science/pith/MVC3UREWUE2GN4EFZQNIXZ6ANF","bundle":"https://pith.science/pith/MVC3UREWUE2GN4EFZQNIXZ6ANF/bundle.json","state":"https://pith.science/pith/MVC3UREWUE2GN4EFZQNIXZ6ANF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MVC3UREWUE2GN4EFZQNIXZ6ANF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:MVC3UREWUE2GN4EFZQNIXZ6ANF","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":"e68f531cc2790f7589660fe55e041ac7afeeb8e6e8ec83607a573cffe84ed260","cross_cats_sorted":["cs.ET"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2020-12-11T01:33:17Z","title_canon_sha256":"52a7b3bf47b133bed6fb81f1dcef75c9658bd450929ec34d7992573e156a9b78"},"schema_version":"1.0","source":{"id":"2012.06074","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2012.06074","created_at":"2026-07-05T04:51:19Z"},{"alias_kind":"arxiv_version","alias_value":"2012.06074v2","created_at":"2026-07-05T04:51:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2012.06074","created_at":"2026-07-05T04:51:19Z"},{"alias_kind":"pith_short_12","alias_value":"MVC3UREWUE2G","created_at":"2026-07-05T04:51:19Z"},{"alias_kind":"pith_short_16","alias_value":"MVC3UREWUE2GN4EF","created_at":"2026-07-05T04:51:19Z"},{"alias_kind":"pith_short_8","alias_value":"MVC3UREW","created_at":"2026-07-05T04:51:19Z"}],"graph_snapshots":[{"event_id":"sha256:f805dc509d4ba11788ca788375b11586b50ef1608fb0e6dee276310f9b60ae5e","target":"graph","created_at":"2026-07-05T04:51:19Z","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/2012.06074/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Clifford group lies at the core of quantum computation -- it underlies quantum error correction, its elements can be used to perform magic state distillation and they form randomized benchmarking protocols, Clifford group is used to study quantum entanglement, and more. The ability to utilize Clifford group elements in practice relies heavily on the efficiency of their circuit-level implementation. Finding short circuits is a hard problem; despite Clifford group being finite, its size grows quickly with the number of qubits $n$, limiting known optimal implementations to $n{=}4$ qubits. For $n{","authors_text":"Dmitri Maslov, Joseph A. Latone, Sergey Bravyi","cross_cats":["cs.ET"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2020-12-11T01:33:17Z","title":"6-qubit Optimal Clifford Circuits"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2012.06074","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:d94b278a95b1c19b07054bced41546e19d6693c16095e6bd7ad94bd2f6d41c68","target":"record","created_at":"2026-07-05T04:51:19Z","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":"e68f531cc2790f7589660fe55e041ac7afeeb8e6e8ec83607a573cffe84ed260","cross_cats_sorted":["cs.ET"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2020-12-11T01:33:17Z","title_canon_sha256":"52a7b3bf47b133bed6fb81f1dcef75c9658bd450929ec34d7992573e156a9b78"},"schema_version":"1.0","source":{"id":"2012.06074","kind":"arxiv","version":2}},"canonical_sha256":"6545ba4496a13466f085cc1a8be7c06953b4693266e4f86e33098a4562690390","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6545ba4496a13466f085cc1a8be7c06953b4693266e4f86e33098a4562690390","first_computed_at":"2026-07-05T04:51:19.413169Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:51:19.413169Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"g4zPdnCtNRE0EjVpVW0ZaY4B9gyweHne+BebY1teaksz5bU73c+3HV/GVmAvUPj7TRmg8okHb241ztmx9LmXDg==","signature_status":"signed_v1","signed_at":"2026-07-05T04:51:19.413676Z","signed_message":"canonical_sha256_bytes"},"source_id":"2012.06074","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d94b278a95b1c19b07054bced41546e19d6693c16095e6bd7ad94bd2f6d41c68","sha256:f805dc509d4ba11788ca788375b11586b50ef1608fb0e6dee276310f9b60ae5e"],"state_sha256":"8b224a88d7a67c5364925b2222658c249393b60ff832ff0c3b6719d2e5b8de2e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jRCBO/A74xndjmdZGy3uWNepprzKTRqmtZNCpYUpxg1pTmJXtukGnvyq/CNc4FsQLQ07RtBuqX7k9P8bvQ1xAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-31T19:12:28.034823Z","bundle_sha256":"9560c2f7962a341fe72f53f015998199cb858db9c3894009515f27f92cca703a"}}