{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:ZYVVPJWUK2R6534VEIDR7SMDTV","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":"740745b153937f779f6e303f8f2e6cda8b7734fb0087b1d249833064c922cd9d","cross_cats_sorted":["math-ph","math.MP","math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-04-12T12:40:01Z","title_canon_sha256":"08b1f9e286234de21cf55c761b6b9d2224716db9ad6b1e4d0f76b705c0f9d2c3"},"schema_version":"1.0","source":{"id":"1104.2193","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.2193","created_at":"2026-05-18T04:10:08Z"},{"alias_kind":"arxiv_version","alias_value":"1104.2193v3","created_at":"2026-05-18T04:10:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.2193","created_at":"2026-05-18T04:10:08Z"},{"alias_kind":"pith_short_12","alias_value":"ZYVVPJWUK2R6","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"ZYVVPJWUK2R6534V","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"ZYVVPJWU","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:99eff7827d64aa609f43484d9805c79353702b143a972c3c123a72ae0adae779","target":"graph","created_at":"2026-05-18T04:10:08Z","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 the paper, the dynamical additivity of bi-stochastic quantum operations is characterized and the strong dynamical additivity is obtained under some restrictions.","authors_text":"Junde Wu, Lin Zhang","cross_cats":["math-ph","math.MP","math.OA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-04-12T12:40:01Z","title":"The Dynamical Additivity And The Strong Dynamical Additivity Of Quantum Operations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.2193","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:e751d269b474c6f129cb2fe17b633fecaac1a99d5851d0558212f28ebc538e02","target":"record","created_at":"2026-05-18T04:10:08Z","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":"740745b153937f779f6e303f8f2e6cda8b7734fb0087b1d249833064c922cd9d","cross_cats_sorted":["math-ph","math.MP","math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-04-12T12:40:01Z","title_canon_sha256":"08b1f9e286234de21cf55c761b6b9d2224716db9ad6b1e4d0f76b705c0f9d2c3"},"schema_version":"1.0","source":{"id":"1104.2193","kind":"arxiv","version":3}},"canonical_sha256":"ce2b57a6d456a3eeef9522071fc9839d5c2d280b65952741059086a17dc92232","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ce2b57a6d456a3eeef9522071fc9839d5c2d280b65952741059086a17dc92232","first_computed_at":"2026-05-18T04:10:08.794303Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:10:08.794303Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6THGQ/VYogBuYPPFWv72nUYTkHM6v7vmxaJ/0BiU+Vd4/fWwtjCGpq/ftcIc0kHC9BpiNnA3X0j8d5WdJ0tCCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:10:08.795080Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.2193","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e751d269b474c6f129cb2fe17b633fecaac1a99d5851d0558212f28ebc538e02","sha256:99eff7827d64aa609f43484d9805c79353702b143a972c3c123a72ae0adae779"],"state_sha256":"773859b562335cd7db39bc3f5e1f06e5ea3562e7b0aa739b50aaff38ba8dd56f"}