{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:AQRZ43WHZEGQZWT5JZTTRIN3KW","short_pith_number":"pith:AQRZ43WH","canonical_record":{"source":{"id":"2308.04741","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.PL","submitted_at":"2023-08-09T07:23:22Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"498567447b6e7ecc38271acf9f6d3128c83a3f01e27060db751aa312cc074042","abstract_canon_sha256":"495d61d6998933bc76dd1c020162939e4cea32aeec32b0f8a32d8f390fb7943b"},"schema_version":"1.0"},"canonical_sha256":"04239e6ec7c90d0cda7d4e6738a1bb558ab080affa2eb38ff40cc96d23652612","source":{"kind":"arxiv","id":"2308.04741","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2308.04741","created_at":"2026-07-05T10:14:22Z"},{"alias_kind":"arxiv_version","alias_value":"2308.04741v3","created_at":"2026-07-05T10:14:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2308.04741","created_at":"2026-07-05T10:14:22Z"},{"alias_kind":"pith_short_12","alias_value":"AQRZ43WHZEGQ","created_at":"2026-07-05T10:14:22Z"},{"alias_kind":"pith_short_16","alias_value":"AQRZ43WHZEGQZWT5","created_at":"2026-07-05T10:14:22Z"},{"alias_kind":"pith_short_8","alias_value":"AQRZ43WH","created_at":"2026-07-05T10:14:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:AQRZ43WHZEGQZWT5JZTTRIN3KW","target":"record","payload":{"canonical_record":{"source":{"id":"2308.04741","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.PL","submitted_at":"2023-08-09T07:23:22Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"498567447b6e7ecc38271acf9f6d3128c83a3f01e27060db751aa312cc074042","abstract_canon_sha256":"495d61d6998933bc76dd1c020162939e4cea32aeec32b0f8a32d8f390fb7943b"},"schema_version":"1.0"},"canonical_sha256":"04239e6ec7c90d0cda7d4e6738a1bb558ab080affa2eb38ff40cc96d23652612","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:14:22.109597Z","signature_b64":"KQ2O7PzOy1teIu+9lHbimjBuwYTPT3B9x/MyS9xdBaIsX1YeLG4dHwImA5UfFwiFoSO4kVYDA4ZOHPh/jIinDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"04239e6ec7c90d0cda7d4e6738a1bb558ab080affa2eb38ff40cc96d23652612","last_reissued_at":"2026-07-05T10:14:22.109154Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:14:22.109154Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2308.04741","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":"2026-07-05T10:14:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0pEnKtzt4h7ZLQP5kDYWXIrYiO6027Xi/mLUllK7MJcPgNDtBZR6K4nCbouzW2PYHILrZUtL5zyCKn4q8cyqCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T14:00:32.837736Z"},"content_sha256":"904402d666915d7951a87cfe1c211e6d656a9e587bb0f1cf2e1a8459286eebba","schema_version":"1.0","event_id":"sha256:904402d666915d7951a87cfe1c211e6d656a9e587bb0f1cf2e1a8459286eebba"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:AQRZ43WHZEGQZWT5JZTTRIN3KW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Local Reasoning about Probabilistic Behaviour for Classical-Quantum Programs","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cs.PL","authors_text":"Huiling Wu, Ming Xu, Yuxin Deng","submitted_at":"2023-08-09T07:23:22Z","abstract_excerpt":"Verifying the functional correctness of programs with both classical and quantum constructs is a challenging task. The presence of probabilistic behaviour entailed by quantum measurements and unbounded while loops complicate the verification task greatly. We propose a new quantum Hoare logic for local reasoning about probabilistic behaviour by introducing distribution formulas to specify probabilistic properties. We show that the proof rules in the logic are sound with respect to a denotational semantics. To demonstrate the effectiveness of the logic, we formally verify the correctness of non-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2308.04741","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/2308.04741/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":"2026-07-05T10:14:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xp4PMyKylFlD51CGQrJrzVfm6RhX4Y3aOCsQlGwwiF2Y9FIL4at1AYGOnsSBBL3n2WHiBVduUA9SWJWltxTfBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T14:00:32.838229Z"},"content_sha256":"4757a94fbc6a3ef66251f0fb58c3a17c3af9d04ca719e08e4ee2fc32b023b9cf","schema_version":"1.0","event_id":"sha256:4757a94fbc6a3ef66251f0fb58c3a17c3af9d04ca719e08e4ee2fc32b023b9cf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AQRZ43WHZEGQZWT5JZTTRIN3KW/bundle.json","state_url":"https://pith.science/pith/AQRZ43WHZEGQZWT5JZTTRIN3KW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AQRZ43WHZEGQZWT5JZTTRIN3KW/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":"2026-08-15T14:00:32Z","links":{"resolver":"https://pith.science/pith/AQRZ43WHZEGQZWT5JZTTRIN3KW","bundle":"https://pith.science/pith/AQRZ43WHZEGQZWT5JZTTRIN3KW/bundle.json","state":"https://pith.science/pith/AQRZ43WHZEGQZWT5JZTTRIN3KW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AQRZ43WHZEGQZWT5JZTTRIN3KW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:AQRZ43WHZEGQZWT5JZTTRIN3KW","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":"495d61d6998933bc76dd1c020162939e4cea32aeec32b0f8a32d8f390fb7943b","cross_cats_sorted":["quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.PL","submitted_at":"2023-08-09T07:23:22Z","title_canon_sha256":"498567447b6e7ecc38271acf9f6d3128c83a3f01e27060db751aa312cc074042"},"schema_version":"1.0","source":{"id":"2308.04741","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2308.04741","created_at":"2026-07-05T10:14:22Z"},{"alias_kind":"arxiv_version","alias_value":"2308.04741v3","created_at":"2026-07-05T10:14:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2308.04741","created_at":"2026-07-05T10:14:22Z"},{"alias_kind":"pith_short_12","alias_value":"AQRZ43WHZEGQ","created_at":"2026-07-05T10:14:22Z"},{"alias_kind":"pith_short_16","alias_value":"AQRZ43WHZEGQZWT5","created_at":"2026-07-05T10:14:22Z"},{"alias_kind":"pith_short_8","alias_value":"AQRZ43WH","created_at":"2026-07-05T10:14:22Z"}],"graph_snapshots":[{"event_id":"sha256:4757a94fbc6a3ef66251f0fb58c3a17c3af9d04ca719e08e4ee2fc32b023b9cf","target":"graph","created_at":"2026-07-05T10:14:22Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2308.04741/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Verifying the functional correctness of programs with both classical and quantum constructs is a challenging task. The presence of probabilistic behaviour entailed by quantum measurements and unbounded while loops complicate the verification task greatly. We propose a new quantum Hoare logic for local reasoning about probabilistic behaviour by introducing distribution formulas to specify probabilistic properties. We show that the proof rules in the logic are sound with respect to a denotational semantics. To demonstrate the effectiveness of the logic, we formally verify the correctness of non-","authors_text":"Huiling Wu, Ming Xu, Yuxin Deng","cross_cats":["quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.PL","submitted_at":"2023-08-09T07:23:22Z","title":"Local Reasoning about Probabilistic Behaviour for Classical-Quantum Programs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2308.04741","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":"sha256:904402d666915d7951a87cfe1c211e6d656a9e587bb0f1cf2e1a8459286eebba","target":"record","created_at":"2026-07-05T10:14:22Z","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":"495d61d6998933bc76dd1c020162939e4cea32aeec32b0f8a32d8f390fb7943b","cross_cats_sorted":["quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.PL","submitted_at":"2023-08-09T07:23:22Z","title_canon_sha256":"498567447b6e7ecc38271acf9f6d3128c83a3f01e27060db751aa312cc074042"},"schema_version":"1.0","source":{"id":"2308.04741","kind":"arxiv","version":3}},"canonical_sha256":"04239e6ec7c90d0cda7d4e6738a1bb558ab080affa2eb38ff40cc96d23652612","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"04239e6ec7c90d0cda7d4e6738a1bb558ab080affa2eb38ff40cc96d23652612","first_computed_at":"2026-07-05T10:14:22.109154Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:14:22.109154Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KQ2O7PzOy1teIu+9lHbimjBuwYTPT3B9x/MyS9xdBaIsX1YeLG4dHwImA5UfFwiFoSO4kVYDA4ZOHPh/jIinDg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:14:22.109597Z","signed_message":"canonical_sha256_bytes"},"source_id":"2308.04741","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:904402d666915d7951a87cfe1c211e6d656a9e587bb0f1cf2e1a8459286eebba","sha256:4757a94fbc6a3ef66251f0fb58c3a17c3af9d04ca719e08e4ee2fc32b023b9cf"],"state_sha256":"17542e2745799cafaf76fc108e505a9e0c310430847e8ff70a2acae87fedf5a4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z8lkLykCr79CanbqLukn2fDVTBQAD+/hR8uysXw9CgJaSsumf1wkLVNpSZLGQaA7mPDb0eZiNzX3AvHYMosICA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T14:00:32.841188Z","bundle_sha256":"422738836bd0e6f3f35edb3442a78dae8d7dafd41b89e122bb3e29dc4b75ca6b"}}