{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:VAK4OCXV3UJ6OO4IFQXNWAC7SE","short_pith_number":"pith:VAK4OCXV","canonical_record":{"source":{"id":"1007.2584","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-07-15T15:03:45Z","cross_cats_sorted":["cs.LO"],"title_canon_sha256":"c0db328313f2085c240ad8ffb9b5bcb3e56df6b5c30304ea3ac370db1da3d6c1","abstract_canon_sha256":"d3187fdce651cb869de419afa4927727d10ceb01251509fad8c0ecd2beb2197d"},"schema_version":"1.0"},"canonical_sha256":"a815c70af5dd13e73b882c2edb005f910787e656f8c0cdbaa06a9f7552245547","source":{"kind":"arxiv","id":"1007.2584","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.2584","created_at":"2026-05-18T03:07:12Z"},{"alias_kind":"arxiv_version","alias_value":"1007.2584v3","created_at":"2026-05-18T03:07:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.2584","created_at":"2026-05-18T03:07:12Z"},{"alias_kind":"pith_short_12","alias_value":"VAK4OCXV3UJ6","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"VAK4OCXV3UJ6OO4I","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"VAK4OCXV","created_at":"2026-05-18T12:26:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:VAK4OCXV3UJ6OO4IFQXNWAC7SE","target":"record","payload":{"canonical_record":{"source":{"id":"1007.2584","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-07-15T15:03:45Z","cross_cats_sorted":["cs.LO"],"title_canon_sha256":"c0db328313f2085c240ad8ffb9b5bcb3e56df6b5c30304ea3ac370db1da3d6c1","abstract_canon_sha256":"d3187fdce651cb869de419afa4927727d10ceb01251509fad8c0ecd2beb2197d"},"schema_version":"1.0"},"canonical_sha256":"a815c70af5dd13e73b882c2edb005f910787e656f8c0cdbaa06a9f7552245547","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:07:12.421447Z","signature_b64":"INlcxRlreS1UjEm2vZYh6Xw++vcUXjfXqzlUQ417283pX6LDzz4DTBwHZoA1y79iEnJU5/xl6qgFRuTc05bbCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a815c70af5dd13e73b882c2edb005f910787e656f8c0cdbaa06a9f7552245547","last_reissued_at":"2026-05-18T03:07:12.420887Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:07:12.420887Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1007.2584","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":"2026-05-18T03:07:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cfHpfv5wio6vq4pVy9VeT9VUjboN7KjrTD2ASf8YYjvyqy0dkQKiY7jtH4FcPtB2nP2oQc81UX75kPY3l8nwDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T21:01:52.070381Z"},"content_sha256":"d69c05edc25fe75dfe67cd32c3454c9757612248796fcf4ea30b3dbd9667d265","schema_version":"1.0","event_id":"sha256:d69c05edc25fe75dfe67cd32c3454c9757612248796fcf4ea30b3dbd9667d265"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:VAK4OCXV3UJ6OO4IFQXNWAC7SE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bisimulation for quantum processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LO"],"primary_cat":"quant-ph","authors_text":"Mingsheng Ying, Runyao Duan, Yuan Feng","submitted_at":"2010-07-15T15:03:45Z","abstract_excerpt":"In this paper we introduce a novel notion of probabilistic bisimulation for quantum processes and prove that it is congruent with respect to various process algebra combinators including parallel composition even when both classical and quantum communications are present. We also establish some basic algebraic laws for this bisimulation. In particular, we prove uniqueness of the solutions to recursive equations of quantum processes, which provides a powerful proof technique for verifying complex quantum protocols."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.2584","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":""},"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":"2026-05-18T03:07:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DaAd+OX9PE4evSv+z22nH5YmXKYmZHxA5A4xVS4iYYPOCgT2tyABYJB5mNj5CbcjpUKRL8ZpSejfRSu6F1B8Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T21:01:52.070737Z"},"content_sha256":"76e1074be515c6982d7943385d510a70cff9279940b6f9e79e94651f0c9141d5","schema_version":"1.0","event_id":"sha256:76e1074be515c6982d7943385d510a70cff9279940b6f9e79e94651f0c9141d5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VAK4OCXV3UJ6OO4IFQXNWAC7SE/bundle.json","state_url":"https://pith.science/pith/VAK4OCXV3UJ6OO4IFQXNWAC7SE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VAK4OCXV3UJ6OO4IFQXNWAC7SE/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":"2026-05-21T21:01:52Z","links":{"resolver":"https://pith.science/pith/VAK4OCXV3UJ6OO4IFQXNWAC7SE","bundle":"https://pith.science/pith/VAK4OCXV3UJ6OO4IFQXNWAC7SE/bundle.json","state":"https://pith.science/pith/VAK4OCXV3UJ6OO4IFQXNWAC7SE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VAK4OCXV3UJ6OO4IFQXNWAC7SE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:VAK4OCXV3UJ6OO4IFQXNWAC7SE","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":"d3187fdce651cb869de419afa4927727d10ceb01251509fad8c0ecd2beb2197d","cross_cats_sorted":["cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-07-15T15:03:45Z","title_canon_sha256":"c0db328313f2085c240ad8ffb9b5bcb3e56df6b5c30304ea3ac370db1da3d6c1"},"schema_version":"1.0","source":{"id":"1007.2584","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.2584","created_at":"2026-05-18T03:07:12Z"},{"alias_kind":"arxiv_version","alias_value":"1007.2584v3","created_at":"2026-05-18T03:07:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.2584","created_at":"2026-05-18T03:07:12Z"},{"alias_kind":"pith_short_12","alias_value":"VAK4OCXV3UJ6","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"VAK4OCXV3UJ6OO4I","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"VAK4OCXV","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:76e1074be515c6982d7943385d510a70cff9279940b6f9e79e94651f0c9141d5","target":"graph","created_at":"2026-05-18T03:07:12Z","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":"In this paper we introduce a novel notion of probabilistic bisimulation for quantum processes and prove that it is congruent with respect to various process algebra combinators including parallel composition even when both classical and quantum communications are present. We also establish some basic algebraic laws for this bisimulation. In particular, we prove uniqueness of the solutions to recursive equations of quantum processes, which provides a powerful proof technique for verifying complex quantum protocols.","authors_text":"Mingsheng Ying, Runyao Duan, Yuan Feng","cross_cats":["cs.LO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-07-15T15:03:45Z","title":"Bisimulation for quantum processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.2584","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:d69c05edc25fe75dfe67cd32c3454c9757612248796fcf4ea30b3dbd9667d265","target":"record","created_at":"2026-05-18T03:07:12Z","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":"d3187fdce651cb869de419afa4927727d10ceb01251509fad8c0ecd2beb2197d","cross_cats_sorted":["cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-07-15T15:03:45Z","title_canon_sha256":"c0db328313f2085c240ad8ffb9b5bcb3e56df6b5c30304ea3ac370db1da3d6c1"},"schema_version":"1.0","source":{"id":"1007.2584","kind":"arxiv","version":3}},"canonical_sha256":"a815c70af5dd13e73b882c2edb005f910787e656f8c0cdbaa06a9f7552245547","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a815c70af5dd13e73b882c2edb005f910787e656f8c0cdbaa06a9f7552245547","first_computed_at":"2026-05-18T03:07:12.420887Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:07:12.420887Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"INlcxRlreS1UjEm2vZYh6Xw++vcUXjfXqzlUQ417283pX6LDzz4DTBwHZoA1y79iEnJU5/xl6qgFRuTc05bbCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:07:12.421447Z","signed_message":"canonical_sha256_bytes"},"source_id":"1007.2584","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d69c05edc25fe75dfe67cd32c3454c9757612248796fcf4ea30b3dbd9667d265","sha256:76e1074be515c6982d7943385d510a70cff9279940b6f9e79e94651f0c9141d5"],"state_sha256":"3b1f0504dbb44629c762a95a08f8ce3eda5dac39ead5a8699277a7092339c3f0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5OdsoiIIycGdNnyY0sI9TcZs3c2Xbod6KrLIk+ENIiQrawz2F4+oFAwuh2VIagyHbJCQgvUXylYtNdWGX1THCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T21:01:52.073177Z","bundle_sha256":"5b54ebc682b178c7f69c6766bcaf88d00387528ea3abcc50bae6c067874e87b2"}}