{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:VZRQHKXH7GZLK7CZVWJDOWCHZH","short_pith_number":"pith:VZRQHKXH","canonical_record":{"source":{"id":"1902.03218","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-02-08T18:28:26Z","cross_cats_sorted":["cs.LO"],"title_canon_sha256":"73df8ec3a761c24fad680b80a8b83a90d4eaafabbd2d7c48d9b354da8dc8ee01","abstract_canon_sha256":"c61ce4886cc4cffe64300f1c61acfe09ef03a57b4e0290dbb869a643e4e14907"},"schema_version":"1.0"},"canonical_sha256":"ae6303aae7f9b2b57c59ad92375847c9ffe2b748a60a0d131589fddf6ed5203c","source":{"kind":"arxiv","id":"1902.03218","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.03218","created_at":"2026-05-17T23:54:27Z"},{"alias_kind":"arxiv_version","alias_value":"1902.03218v1","created_at":"2026-05-17T23:54:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.03218","created_at":"2026-05-17T23:54:27Z"},{"alias_kind":"pith_short_12","alias_value":"VZRQHKXH7GZL","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"VZRQHKXH7GZLK7CZ","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"VZRQHKXH","created_at":"2026-05-18T12:33:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:VZRQHKXH7GZLK7CZVWJDOWCHZH","target":"record","payload":{"canonical_record":{"source":{"id":"1902.03218","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-02-08T18:28:26Z","cross_cats_sorted":["cs.LO"],"title_canon_sha256":"73df8ec3a761c24fad680b80a8b83a90d4eaafabbd2d7c48d9b354da8dc8ee01","abstract_canon_sha256":"c61ce4886cc4cffe64300f1c61acfe09ef03a57b4e0290dbb869a643e4e14907"},"schema_version":"1.0"},"canonical_sha256":"ae6303aae7f9b2b57c59ad92375847c9ffe2b748a60a0d131589fddf6ed5203c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:54:27.609299Z","signature_b64":"JgNzC7CXjsu8oTtKODRzj4eA5ACMqz7TqEU8e2Ke0lVpP0GalQE1GjfYrf5Gizfbx60CsV0TEsBCY8+09fMODg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ae6303aae7f9b2b57c59ad92375847c9ffe2b748a60a0d131589fddf6ed5203c","last_reissued_at":"2026-05-17T23:54:27.608826Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:54:27.608826Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1902.03218","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:54:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bC6cReLtgE0ZnZGmoxicdu4EpNPjSjI8oCoY3D/PJhhv1li5/6qObwIIaTluWqoE8cTSYGYc8bZCNNU4FKtCDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T15:38:48.157382Z"},"content_sha256":"957735a16c0bddee6aa7518ee6c6acb97fb6266a8fd52fcfbfbd36348416be04","schema_version":"1.0","event_id":"sha256:957735a16c0bddee6aa7518ee6c6acb97fb6266a8fd52fcfbfbd36348416be04"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:VZRQHKXH7GZLK7CZVWJDOWCHZH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Model Checking Applied to Quantum Physics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LO"],"primary_cat":"quant-ph","authors_text":"Andrea Turrini, Ji Guan, Mingsheng Ying, Yuan Feng","submitted_at":"2019-02-08T18:28:26Z","abstract_excerpt":"Model checking has been successfully applied to verification of computer hardware and software, communication systems and even biological systems. In this paper, we further push the boundary of its applications and show that it can be adapted for applications in quantum physics. More explicitly, we show how quantum statistical and many-body systems can be modeled as quantum Markov chains, and some of their properties that interest physicists can be specified in linear-time temporal logics. Then we present an efficient algorithm to check these properties. A few case studies are given to demonst"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.03218","kind":"arxiv","version":1},"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":"2026-05-17T23:54:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a9RRv1RoKwlUHLSjolDAf2p00y7L6ua2pTWic34ax18ZG4CVvpV5+NGf636CDQGnPg55a5RDR++ts2b8ykbEDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T15:38:48.157736Z"},"content_sha256":"415b56d5a348484ce37bbca962770e099f364c85196a0ba4f8f8fe3dc042263c","schema_version":"1.0","event_id":"sha256:415b56d5a348484ce37bbca962770e099f364c85196a0ba4f8f8fe3dc042263c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VZRQHKXH7GZLK7CZVWJDOWCHZH/bundle.json","state_url":"https://pith.science/pith/VZRQHKXH7GZLK7CZVWJDOWCHZH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VZRQHKXH7GZLK7CZVWJDOWCHZH/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":"2026-06-09T15:38:48Z","links":{"resolver":"https://pith.science/pith/VZRQHKXH7GZLK7CZVWJDOWCHZH","bundle":"https://pith.science/pith/VZRQHKXH7GZLK7CZVWJDOWCHZH/bundle.json","state":"https://pith.science/pith/VZRQHKXH7GZLK7CZVWJDOWCHZH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VZRQHKXH7GZLK7CZVWJDOWCHZH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:VZRQHKXH7GZLK7CZVWJDOWCHZH","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":"c61ce4886cc4cffe64300f1c61acfe09ef03a57b4e0290dbb869a643e4e14907","cross_cats_sorted":["cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-02-08T18:28:26Z","title_canon_sha256":"73df8ec3a761c24fad680b80a8b83a90d4eaafabbd2d7c48d9b354da8dc8ee01"},"schema_version":"1.0","source":{"id":"1902.03218","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.03218","created_at":"2026-05-17T23:54:27Z"},{"alias_kind":"arxiv_version","alias_value":"1902.03218v1","created_at":"2026-05-17T23:54:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.03218","created_at":"2026-05-17T23:54:27Z"},{"alias_kind":"pith_short_12","alias_value":"VZRQHKXH7GZL","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"VZRQHKXH7GZLK7CZ","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"VZRQHKXH","created_at":"2026-05-18T12:33:30Z"}],"graph_snapshots":[{"event_id":"sha256:415b56d5a348484ce37bbca962770e099f364c85196a0ba4f8f8fe3dc042263c","target":"graph","created_at":"2026-05-17T23:54:27Z","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":"Model checking has been successfully applied to verification of computer hardware and software, communication systems and even biological systems. In this paper, we further push the boundary of its applications and show that it can be adapted for applications in quantum physics. More explicitly, we show how quantum statistical and many-body systems can be modeled as quantum Markov chains, and some of their properties that interest physicists can be specified in linear-time temporal logics. Then we present an efficient algorithm to check these properties. A few case studies are given to demonst","authors_text":"Andrea Turrini, Ji Guan, Mingsheng Ying, Yuan Feng","cross_cats":["cs.LO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-02-08T18:28:26Z","title":"Model Checking Applied to Quantum Physics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.03218","kind":"arxiv","version":1},"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":"sha256:957735a16c0bddee6aa7518ee6c6acb97fb6266a8fd52fcfbfbd36348416be04","target":"record","created_at":"2026-05-17T23:54:27Z","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":"c61ce4886cc4cffe64300f1c61acfe09ef03a57b4e0290dbb869a643e4e14907","cross_cats_sorted":["cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-02-08T18:28:26Z","title_canon_sha256":"73df8ec3a761c24fad680b80a8b83a90d4eaafabbd2d7c48d9b354da8dc8ee01"},"schema_version":"1.0","source":{"id":"1902.03218","kind":"arxiv","version":1}},"canonical_sha256":"ae6303aae7f9b2b57c59ad92375847c9ffe2b748a60a0d131589fddf6ed5203c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ae6303aae7f9b2b57c59ad92375847c9ffe2b748a60a0d131589fddf6ed5203c","first_computed_at":"2026-05-17T23:54:27.608826Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:54:27.608826Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JgNzC7CXjsu8oTtKODRzj4eA5ACMqz7TqEU8e2Ke0lVpP0GalQE1GjfYrf5Gizfbx60CsV0TEsBCY8+09fMODg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:54:27.609299Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.03218","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:957735a16c0bddee6aa7518ee6c6acb97fb6266a8fd52fcfbfbd36348416be04","sha256:415b56d5a348484ce37bbca962770e099f364c85196a0ba4f8f8fe3dc042263c"],"state_sha256":"ba97fa48c5542f45b6876fccf00bb7760657e402351472e46ab375d868fdb526"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gM8M34ipY9sYZw+TdYC6cTYkoX+MR6xk7dUUuxdm12Saim4rL6SkHOyyaMLTyfEuxNFA5GLJ/fpoCNF7OxY4BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T15:38:48.159745Z","bundle_sha256":"e9e455a562a7182a7274bab7846de239777abb66d2ee0531fc808b29292d9bb1"}}