{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:MDY6BGDZ2ULFE3LZQHVF37WVJX","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":"ac2cbf4d12cce6fb6be5b893c1b6a3d2c8ba68013f2d32ab3a37fd7c5019c82e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-04-05T00:47:56Z","title_canon_sha256":"6ba41d13b84dd3f1d970fe89b407a4daa69b8365ef295905b6dc76f4ef60cd55"},"schema_version":"1.0","source":{"id":"1704.01229","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.01229","created_at":"2026-05-18T00:46:58Z"},{"alias_kind":"arxiv_version","alias_value":"1704.01229v1","created_at":"2026-05-18T00:46:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.01229","created_at":"2026-05-18T00:46:58Z"},{"alias_kind":"pith_short_12","alias_value":"MDY6BGDZ2ULF","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MDY6BGDZ2ULFE3LZ","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MDY6BGDZ","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:c631aeb88cdc61e0834f16e172077f193dc5e03197341e200695fd6cea461e8a","target":"graph","created_at":"2026-05-18T00:46:58Z","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":"Einstein introduced the locality principle which states that all physical effect in some finite space-time region does not influence its space-like separated finite region. Recently, in algebraic quantum field theory, R\\'{e}dei captured the idea of the locality principle by the notion of operational separability. The operation in operational separability is performed in some finite space-time region, and leaves unchanged the state in its space-like separated finite space-time region. This operation is defined with a completely positive map. In the present paper, we justify using a completely p","authors_text":"Yuichiro Kitajima","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-04-05T00:47:56Z","title":"Local Operations and Completely Positive Maps in Algebraic Quantum Field Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.01229","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":"sha256:2cb170d88cdb9dbedaccf44bb67d025b5789413e363ab28e4a2409d61951e1cc","target":"record","created_at":"2026-05-18T00:46:58Z","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":"ac2cbf4d12cce6fb6be5b893c1b6a3d2c8ba68013f2d32ab3a37fd7c5019c82e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-04-05T00:47:56Z","title_canon_sha256":"6ba41d13b84dd3f1d970fe89b407a4daa69b8365ef295905b6dc76f4ef60cd55"},"schema_version":"1.0","source":{"id":"1704.01229","kind":"arxiv","version":1}},"canonical_sha256":"60f1e09879d516526d7981ea5dfed54df0b534e5259fb9a0037252da7d32d2d5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"60f1e09879d516526d7981ea5dfed54df0b534e5259fb9a0037252da7d32d2d5","first_computed_at":"2026-05-18T00:46:58.756502Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:58.756502Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RfYyWwVtAZbP2VpoefXBOpUDJenV1dw9BRZVao2hP9lpf0dheSbCwYWw0NWDF2b8zffgBP1Ma3m6iX+VV5e1CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:58.756935Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.01229","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2cb170d88cdb9dbedaccf44bb67d025b5789413e363ab28e4a2409d61951e1cc","sha256:c631aeb88cdc61e0834f16e172077f193dc5e03197341e200695fd6cea461e8a"],"state_sha256":"2977736c38962cffe70b250e22f2989e9f3ac52f8761a1917ebf8a2c2c18b171"}