{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:DL7KNHGCXYU5Z5H7P7NX7TBIE3","short_pith_number":"pith:DL7KNHGC","canonical_record":{"source":{"id":"2008.06812","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2020-08-15T23:56:18Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"fcc591426d547953f666f683f5422047bf33831d959a454af6d7f782311f4d75","abstract_canon_sha256":"9b96858d562f6eebe412c4588744d96b75c815c1f0c2130828cfa97c04e7a276"},"schema_version":"1.0"},"canonical_sha256":"1afea69cc2be29dcf4ff7fdb7fcc2826f719e9fe20352e90d3d9530e4b855b6a","source":{"kind":"arxiv","id":"2008.06812","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2008.06812","created_at":"2026-07-05T04:35:07Z"},{"alias_kind":"arxiv_version","alias_value":"2008.06812v2","created_at":"2026-07-05T04:35:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2008.06812","created_at":"2026-07-05T04:35:07Z"},{"alias_kind":"pith_short_12","alias_value":"DL7KNHGCXYU5","created_at":"2026-07-05T04:35:07Z"},{"alias_kind":"pith_short_16","alias_value":"DL7KNHGCXYU5Z5H7","created_at":"2026-07-05T04:35:07Z"},{"alias_kind":"pith_short_8","alias_value":"DL7KNHGC","created_at":"2026-07-05T04:35:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:DL7KNHGCXYU5Z5H7P7NX7TBIE3","target":"record","payload":{"canonical_record":{"source":{"id":"2008.06812","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2020-08-15T23:56:18Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"fcc591426d547953f666f683f5422047bf33831d959a454af6d7f782311f4d75","abstract_canon_sha256":"9b96858d562f6eebe412c4588744d96b75c815c1f0c2130828cfa97c04e7a276"},"schema_version":"1.0"},"canonical_sha256":"1afea69cc2be29dcf4ff7fdb7fcc2826f719e9fe20352e90d3d9530e4b855b6a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:35:07.767858Z","signature_b64":"tkeuo+LNhudQvAH6xCzdNnJ/rAmJu9tIFuhJsr6Iavx2fF2HkdzollVrxq+ZXzIdB44Y4bTKD4hvq6lnZWQeDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1afea69cc2be29dcf4ff7fdb7fcc2826f719e9fe20352e90d3d9530e4b855b6a","last_reissued_at":"2026-07-05T04:35:07.767484Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:35:07.767484Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2008.06812","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":"2026-07-05T04:35:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F+cajo00/rp9c+P26gI1BlXROsSxKC0v4KrmTVvi8N7b2tKI4aWINlP6pqrrWSDTuRvRTq6KjP3udguTZKEOAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T12:23:48.097239Z"},"content_sha256":"e791cfa195d497ba6894c254a68d6a75d3063bb2001aa43270162973dbbf4ff5","schema_version":"1.0","event_id":"sha256:e791cfa195d497ba6894c254a68d6a75d3063bb2001aa43270162973dbbf4ff5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:DL7KNHGCXYU5Z5H7P7NX7TBIE3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum Hoare logic with classical variables","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cs.LO","authors_text":"Mingsheng Ying, Yuan Feng","submitted_at":"2020-08-15T23:56:18Z","abstract_excerpt":"Hoare logic provides a syntax-oriented method to reason about program correctness and has been proven effective in the verification of classical and probabilistic programs. Existing proposals for quantum Hoare logic either lack completeness or support only quantum variables, thus limiting their capability in practical use. In this paper, we propose a quantum Hoare logic for a simple while language which involves both classical and quantum variables. Its soundness and relative completeness are proven for both partial and total correctness of quantum programs written in the language. Remarkably,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2008.06812","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/2008.06812/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":"2026-07-05T04:35:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QtaS4jWkUMfSsE/3rR0y5b6bNaroe30P2bfEKYFG23RGYcO9eE9Q5mfiq/GO/iEFOXCMyTBjeCeeY2wziPt4Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T12:23:48.098120Z"},"content_sha256":"929ddba543be6d0a6fe6136f99a6cb24e8780bec77b29bad1da4c4e2f4102054","schema_version":"1.0","event_id":"sha256:929ddba543be6d0a6fe6136f99a6cb24e8780bec77b29bad1da4c4e2f4102054"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DL7KNHGCXYU5Z5H7P7NX7TBIE3/bundle.json","state_url":"https://pith.science/pith/DL7KNHGCXYU5Z5H7P7NX7TBIE3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DL7KNHGCXYU5Z5H7P7NX7TBIE3/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":"2026-08-04T12:23:48Z","links":{"resolver":"https://pith.science/pith/DL7KNHGCXYU5Z5H7P7NX7TBIE3","bundle":"https://pith.science/pith/DL7KNHGCXYU5Z5H7P7NX7TBIE3/bundle.json","state":"https://pith.science/pith/DL7KNHGCXYU5Z5H7P7NX7TBIE3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DL7KNHGCXYU5Z5H7P7NX7TBIE3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:DL7KNHGCXYU5Z5H7P7NX7TBIE3","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":"9b96858d562f6eebe412c4588744d96b75c815c1f0c2130828cfa97c04e7a276","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2020-08-15T23:56:18Z","title_canon_sha256":"fcc591426d547953f666f683f5422047bf33831d959a454af6d7f782311f4d75"},"schema_version":"1.0","source":{"id":"2008.06812","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2008.06812","created_at":"2026-07-05T04:35:07Z"},{"alias_kind":"arxiv_version","alias_value":"2008.06812v2","created_at":"2026-07-05T04:35:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2008.06812","created_at":"2026-07-05T04:35:07Z"},{"alias_kind":"pith_short_12","alias_value":"DL7KNHGCXYU5","created_at":"2026-07-05T04:35:07Z"},{"alias_kind":"pith_short_16","alias_value":"DL7KNHGCXYU5Z5H7","created_at":"2026-07-05T04:35:07Z"},{"alias_kind":"pith_short_8","alias_value":"DL7KNHGC","created_at":"2026-07-05T04:35:07Z"}],"graph_snapshots":[{"event_id":"sha256:929ddba543be6d0a6fe6136f99a6cb24e8780bec77b29bad1da4c4e2f4102054","target":"graph","created_at":"2026-07-05T04:35:07Z","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/2008.06812/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Hoare logic provides a syntax-oriented method to reason about program correctness and has been proven effective in the verification of classical and probabilistic programs. Existing proposals for quantum Hoare logic either lack completeness or support only quantum variables, thus limiting their capability in practical use. In this paper, we propose a quantum Hoare logic for a simple while language which involves both classical and quantum variables. Its soundness and relative completeness are proven for both partial and total correctness of quantum programs written in the language. Remarkably,","authors_text":"Mingsheng Ying, Yuan Feng","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2020-08-15T23:56:18Z","title":"Quantum Hoare logic with classical variables"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2008.06812","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:e791cfa195d497ba6894c254a68d6a75d3063bb2001aa43270162973dbbf4ff5","target":"record","created_at":"2026-07-05T04:35:07Z","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":"9b96858d562f6eebe412c4588744d96b75c815c1f0c2130828cfa97c04e7a276","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2020-08-15T23:56:18Z","title_canon_sha256":"fcc591426d547953f666f683f5422047bf33831d959a454af6d7f782311f4d75"},"schema_version":"1.0","source":{"id":"2008.06812","kind":"arxiv","version":2}},"canonical_sha256":"1afea69cc2be29dcf4ff7fdb7fcc2826f719e9fe20352e90d3d9530e4b855b6a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1afea69cc2be29dcf4ff7fdb7fcc2826f719e9fe20352e90d3d9530e4b855b6a","first_computed_at":"2026-07-05T04:35:07.767484Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:35:07.767484Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tkeuo+LNhudQvAH6xCzdNnJ/rAmJu9tIFuhJsr6Iavx2fF2HkdzollVrxq+ZXzIdB44Y4bTKD4hvq6lnZWQeDg==","signature_status":"signed_v1","signed_at":"2026-07-05T04:35:07.767858Z","signed_message":"canonical_sha256_bytes"},"source_id":"2008.06812","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e791cfa195d497ba6894c254a68d6a75d3063bb2001aa43270162973dbbf4ff5","sha256:929ddba543be6d0a6fe6136f99a6cb24e8780bec77b29bad1da4c4e2f4102054"],"state_sha256":"b89d0db91c9512c074a25039cbc5a8193d1dd884ac3331d07432bb82e550e2e1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MyDGGSXGL0wdKva+xwvn5KEnTX2hhavd6sXAg5hPKXMpVzQGLz0ksFkxn0GKOpQXI634u4Ke0J8Tm9d3n+1SDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T12:23:48.104261Z","bundle_sha256":"b97457e06ec271e435997060af01fd8665988323ec2dce5dd6ab37b2de4c1a49"}}