{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:7UPISA3IR7IAYOSRJNK6O6WOEE","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":"b7451c38b10a48670df7b6733c7c037f8eb2dfcdbd8b66aa3c3f27159992bb07","cross_cats_sorted":["math.FA"],"license":"","primary_cat":"math.OA","submitted_at":"2000-08-03T16:48:29Z","title_canon_sha256":"b14d26835578938663cb75a159b802c9967b418488d4e3a83083bb29e38d2aad"},"schema_version":"1.0","source":{"id":"math/0008032","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0008032","created_at":"2026-07-04T14:34:37Z"},{"alias_kind":"arxiv_version","alias_value":"math/0008032v1","created_at":"2026-07-04T14:34:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0008032","created_at":"2026-07-04T14:34:37Z"},{"alias_kind":"pith_short_12","alias_value":"7UPISA3IR7IA","created_at":"2026-07-04T14:34:37Z"},{"alias_kind":"pith_short_16","alias_value":"7UPISA3IR7IAYOSR","created_at":"2026-07-04T14:34:37Z"},{"alias_kind":"pith_short_8","alias_value":"7UPISA3I","created_at":"2026-07-04T14:34:37Z"}],"graph_snapshots":[{"event_id":"sha256:d134217488bbd01c58b42ffe5b13eabf83223375174f8ba74bcbafb12e436ff2","target":"graph","created_at":"2026-07-04T14:34:37Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/math/0008032/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The operator space analogue of the {\\em strong form} of the principle of local reflexivity is shown to hold for any von Neumann algebra predual, and thus for any $C^{*}$-algebraic dual. This is in striking contrast to the situation for $C^{*}$-algebras, since, for example, $K(H)$ does not have that property. The proof uses the Kaplansky density theorem together with a careful analysis of two notions of integrality for mappings of operator spaces.","authors_text":"Edward G. Effros, Marius Junge, Zhong-Jin Ruan","cross_cats":["math.FA"],"headline":"","license":"","primary_cat":"math.OA","submitted_at":"2000-08-03T16:48:29Z","title":"Integral mappings and the principle of local reflexivity for noncommutative L^1-spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0008032","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:ac05fced2510ee032865fb5ce6f20ae22987af08709787f1e11058dd203c7d2f","target":"record","created_at":"2026-07-04T14:34:37Z","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":"b7451c38b10a48670df7b6733c7c037f8eb2dfcdbd8b66aa3c3f27159992bb07","cross_cats_sorted":["math.FA"],"license":"","primary_cat":"math.OA","submitted_at":"2000-08-03T16:48:29Z","title_canon_sha256":"b14d26835578938663cb75a159b802c9967b418488d4e3a83083bb29e38d2aad"},"schema_version":"1.0","source":{"id":"math/0008032","kind":"arxiv","version":1}},"canonical_sha256":"fd1e8903688fd00c3a514b55e77ace210de44d0113665e7a7ae538301fc5b6b1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fd1e8903688fd00c3a514b55e77ace210de44d0113665e7a7ae538301fc5b6b1","first_computed_at":"2026-07-04T14:34:37.799217Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:34:37.799217Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8WIoFZbNsD3Hnn+us7JPZ05rqTY8yqq3k7ODqU6M5gX/l/SVIBnDvrUFmKIu8XV+v86wj5RY6TGQht3sw6whDg==","signature_status":"signed_v1","signed_at":"2026-07-04T14:34:37.799711Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0008032","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ac05fced2510ee032865fb5ce6f20ae22987af08709787f1e11058dd203c7d2f","sha256:d134217488bbd01c58b42ffe5b13eabf83223375174f8ba74bcbafb12e436ff2"],"state_sha256":"4f4aec19dcb8e862305346be43edcd68ee26918aeaaa2cb51666768ad9117057"}