{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:QI675H772OMBYFSIPWZDEBR3KE","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":"9aedb86dac58b69c9d05136bddc7027690f5bb9eeabd5bdaaee925b11837e6d6","cross_cats_sorted":["math.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2016-03-07T15:18:12Z","title_canon_sha256":"e13ece0ee0081a4b329c85449e1c4a36273286a07f29387811beb59b958731e2"},"schema_version":"1.0","source":{"id":"1603.02105","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.02105","created_at":"2026-05-18T00:46:09Z"},{"alias_kind":"arxiv_version","alias_value":"1603.02105v5","created_at":"2026-05-18T00:46:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.02105","created_at":"2026-05-18T00:46:09Z"},{"alias_kind":"pith_short_12","alias_value":"QI675H772OMB","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"QI675H772OMBYFSI","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"QI675H77","created_at":"2026-05-18T12:30:39Z"}],"graph_snapshots":[{"event_id":"sha256:f880e63927ccd21e707f44a9b0dbcb64f5d6784e41235832bd62ec8c2af8d58d","target":"graph","created_at":"2026-05-18T00:46:09Z","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":"We prove an analogue of Voiculescu's theorem: Relative bicommutant of a separable unital subalgebra $A$ of an ultraproduct of simple unital C*-algebras is equal to $A$.","authors_text":"Ilijas Farah","cross_cats":["math.LO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2016-03-07T15:18:12Z","title":"A new bicommutant theorem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.02105","kind":"arxiv","version":5},"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":"sha256:8f51b561ac77a73324a9cc05b84a7b4ce1898dbe5502ab70675ec830d9068720","target":"record","created_at":"2026-05-18T00:46:09Z","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":"9aedb86dac58b69c9d05136bddc7027690f5bb9eeabd5bdaaee925b11837e6d6","cross_cats_sorted":["math.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2016-03-07T15:18:12Z","title_canon_sha256":"e13ece0ee0081a4b329c85449e1c4a36273286a07f29387811beb59b958731e2"},"schema_version":"1.0","source":{"id":"1603.02105","kind":"arxiv","version":5}},"canonical_sha256":"823dfe9fffd3981c16487db232063b5117684fb476345736691bc6838515bcb0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"823dfe9fffd3981c16487db232063b5117684fb476345736691bc6838515bcb0","first_computed_at":"2026-05-18T00:46:09.163072Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:09.163072Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+iZxRqLcbQczO55aA0zLhZeQxG3wRNENKdQd9gYljQm7V3CAtZysScr6xPu2VUSccULbWMF+YYX0my7CT6HbBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:09.163558Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.02105","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8f51b561ac77a73324a9cc05b84a7b4ce1898dbe5502ab70675ec830d9068720","sha256:f880e63927ccd21e707f44a9b0dbcb64f5d6784e41235832bd62ec8c2af8d58d"],"state_sha256":"f32a949ed5743aede23010cca51ff5174d156ad98fb80537748aeb735bf4573b"}