{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:KMWVKU2QBB2BELQZPUZPDJQ75L","short_pith_number":"pith:KMWVKU2Q","canonical_record":{"source":{"id":"0710.5239","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2007-10-27T16:07:59Z","cross_cats_sorted":[],"title_canon_sha256":"c589b2ab64dd52b89e0e326b088f834bd4efe488dc5a79990066836d95c12df7","abstract_canon_sha256":"006310d05c9eb8a76ee63a458a9f2683c2b3d7280f3aa8453ae805a8c9c7dcc8"},"schema_version":"1.0"},"canonical_sha256":"532d5553500874122e197d32f1a61feae66fe716d455e8c5aff9a45395b290d8","source":{"kind":"arxiv","id":"0710.5239","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0710.5239","created_at":"2026-05-18T03:34:59Z"},{"alias_kind":"arxiv_version","alias_value":"0710.5239v2","created_at":"2026-05-18T03:34:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0710.5239","created_at":"2026-05-18T03:34:59Z"},{"alias_kind":"pith_short_12","alias_value":"KMWVKU2QBB2B","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"KMWVKU2QBB2BELQZ","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"KMWVKU2Q","created_at":"2026-05-18T12:25:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:KMWVKU2QBB2BELQZPUZPDJQ75L","target":"record","payload":{"canonical_record":{"source":{"id":"0710.5239","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2007-10-27T16:07:59Z","cross_cats_sorted":[],"title_canon_sha256":"c589b2ab64dd52b89e0e326b088f834bd4efe488dc5a79990066836d95c12df7","abstract_canon_sha256":"006310d05c9eb8a76ee63a458a9f2683c2b3d7280f3aa8453ae805a8c9c7dcc8"},"schema_version":"1.0"},"canonical_sha256":"532d5553500874122e197d32f1a61feae66fe716d455e8c5aff9a45395b290d8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:34:59.901780Z","signature_b64":"ooD7l+7BCl9cvLcG9v6W1k07zcL3vW6uFGRv/vkqlnmiTx+DCzJOgulx4lE9NnFHhd8nQlMA9rNu48G/yD1/DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"532d5553500874122e197d32f1a61feae66fe716d455e8c5aff9a45395b290d8","last_reissued_at":"2026-05-18T03:34:59.900865Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:34:59.900865Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0710.5239","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":"2026-05-18T03:34:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rVPRNJp0wZaASCp6b4PH97Dcrmq3DgUWSsY2Fs1tDvH9TGx1MbNFeGjDicxbBzaxPIF6H+NdMaUkEdswefz1Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T11:12:09.211540Z"},"content_sha256":"9fd56e040d369bb6729bdebdf0d7de70a154e76fba5f3713a765a94aafd2d28e","schema_version":"1.0","event_id":"sha256:9fd56e040d369bb6729bdebdf0d7de70a154e76fba5f3713a765a94aafd2d28e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:KMWVKU2QBB2BELQZPUZPDJQ75L","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalised quantum weakest preconditions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Marek Sawerwain, Roman Gielerak","submitted_at":"2007-10-27T16:07:59Z","abstract_excerpt":"Generalisation of the quantum weakest precondition result of D'Hondt and Panangaden is presented. In particular the most general notion of quantum predicate as positive operator valued measure (POVM) is introduced. The previously known quantum weakest precondition result has been extended to cover the case of POVM playing the role of a quantum predicate. Additionally, our result is valid in infinite dimension case and also holds for a quantum programs defined as a positive but not necessary completely positive transformations of a quantum states."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0710.5239","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":""},"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":"2026-05-18T03:34:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tKyS0SsL702Uc06cy04yVzzb5nFqQNhiHsbfb2seVflcXOKoCyxWi011uOLuYVIoy+saksOewn0is1UCXpwYDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T11:12:09.211874Z"},"content_sha256":"21dd94ecbade0f569c3948f4df192f7a91672ad2d09a61bd4fbbf491f58996b5","schema_version":"1.0","event_id":"sha256:21dd94ecbade0f569c3948f4df192f7a91672ad2d09a61bd4fbbf491f58996b5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KMWVKU2QBB2BELQZPUZPDJQ75L/bundle.json","state_url":"https://pith.science/pith/KMWVKU2QBB2BELQZPUZPDJQ75L/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KMWVKU2QBB2BELQZPUZPDJQ75L/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":"2026-06-27T11:12:09Z","links":{"resolver":"https://pith.science/pith/KMWVKU2QBB2BELQZPUZPDJQ75L","bundle":"https://pith.science/pith/KMWVKU2QBB2BELQZPUZPDJQ75L/bundle.json","state":"https://pith.science/pith/KMWVKU2QBB2BELQZPUZPDJQ75L/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KMWVKU2QBB2BELQZPUZPDJQ75L/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:KMWVKU2QBB2BELQZPUZPDJQ75L","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":"006310d05c9eb8a76ee63a458a9f2683c2b3d7280f3aa8453ae805a8c9c7dcc8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2007-10-27T16:07:59Z","title_canon_sha256":"c589b2ab64dd52b89e0e326b088f834bd4efe488dc5a79990066836d95c12df7"},"schema_version":"1.0","source":{"id":"0710.5239","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0710.5239","created_at":"2026-05-18T03:34:59Z"},{"alias_kind":"arxiv_version","alias_value":"0710.5239v2","created_at":"2026-05-18T03:34:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0710.5239","created_at":"2026-05-18T03:34:59Z"},{"alias_kind":"pith_short_12","alias_value":"KMWVKU2QBB2B","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"KMWVKU2QBB2BELQZ","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"KMWVKU2Q","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:21dd94ecbade0f569c3948f4df192f7a91672ad2d09a61bd4fbbf491f58996b5","target":"graph","created_at":"2026-05-18T03:34:59Z","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"},"paper":{"abstract_excerpt":"Generalisation of the quantum weakest precondition result of D'Hondt and Panangaden is presented. In particular the most general notion of quantum predicate as positive operator valued measure (POVM) is introduced. The previously known quantum weakest precondition result has been extended to cover the case of POVM playing the role of a quantum predicate. Additionally, our result is valid in infinite dimension case and also holds for a quantum programs defined as a positive but not necessary completely positive transformations of a quantum states.","authors_text":"Marek Sawerwain, Roman Gielerak","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2007-10-27T16:07:59Z","title":"Generalised quantum weakest preconditions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0710.5239","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":"sha256:9fd56e040d369bb6729bdebdf0d7de70a154e76fba5f3713a765a94aafd2d28e","target":"record","created_at":"2026-05-18T03:34:59Z","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":"006310d05c9eb8a76ee63a458a9f2683c2b3d7280f3aa8453ae805a8c9c7dcc8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2007-10-27T16:07:59Z","title_canon_sha256":"c589b2ab64dd52b89e0e326b088f834bd4efe488dc5a79990066836d95c12df7"},"schema_version":"1.0","source":{"id":"0710.5239","kind":"arxiv","version":2}},"canonical_sha256":"532d5553500874122e197d32f1a61feae66fe716d455e8c5aff9a45395b290d8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"532d5553500874122e197d32f1a61feae66fe716d455e8c5aff9a45395b290d8","first_computed_at":"2026-05-18T03:34:59.900865Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:34:59.900865Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ooD7l+7BCl9cvLcG9v6W1k07zcL3vW6uFGRv/vkqlnmiTx+DCzJOgulx4lE9NnFHhd8nQlMA9rNu48G/yD1/DA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:34:59.901780Z","signed_message":"canonical_sha256_bytes"},"source_id":"0710.5239","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9fd56e040d369bb6729bdebdf0d7de70a154e76fba5f3713a765a94aafd2d28e","sha256:21dd94ecbade0f569c3948f4df192f7a91672ad2d09a61bd4fbbf491f58996b5"],"state_sha256":"2fdf6aeda04f189c4190f6ad16f10d8da7a0794e43ebd5c10e973c3d8ce362e7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BdSKI01TYA895LyW4R80zKnW8S67Wf8ALscrq4JWJWAt0zZzo4K/MOE5WIfTAPOo3mfCuwI4AZGroaIjk71oCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T11:12:09.213744Z","bundle_sha256":"f066a7c51554d14a2052735836c426064a52cb96367c6e8df717af5bcdf51fd7"}}