{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:HBJK5RHDDRLM7R3X72AW5N74L7","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":"77b1d7eb34017d26971cc50ec8febcb493ca0ff6106b92dadb81067cf0b1664b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2016-12-05T16:34:09Z","title_canon_sha256":"4e490c6c480874bbdd52b50ffcfce73638448a1231e0f9a63194e4ec66f639fe"},"schema_version":"1.0","source":{"id":"1612.01421","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.01421","created_at":"2026-05-18T00:55:52Z"},{"alias_kind":"arxiv_version","alias_value":"1612.01421v1","created_at":"2026-05-18T00:55:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.01421","created_at":"2026-05-18T00:55:52Z"},{"alias_kind":"pith_short_12","alias_value":"HBJK5RHDDRLM","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"HBJK5RHDDRLM7R3X","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"HBJK5RHD","created_at":"2026-05-18T12:30:19Z"}],"graph_snapshots":[{"event_id":"sha256:d70c931a1e5d97a63d7517f1919d39e83651325674bf13093f97ccb8e398f97a","target":"graph","created_at":"2026-05-18T00:55:52Z","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 study the relationship between $C^*$-envelopes and inductive limit of operator systems. Various operator system nuclearity properties of inductive limit for a sequence of operator systems are also discussed.","authors_text":"Ajay Kumar, Preeti Luthra","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2016-12-05T16:34:09Z","title":"Nuclearity properties and $C^*$-envelopes of operator system inductive limits"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.01421","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:fd1d3e3ccd75520a9c078df166caaac80a83f95721431f757b76960217bdb375","target":"record","created_at":"2026-05-18T00:55:52Z","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":"77b1d7eb34017d26971cc50ec8febcb493ca0ff6106b92dadb81067cf0b1664b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2016-12-05T16:34:09Z","title_canon_sha256":"4e490c6c480874bbdd52b50ffcfce73638448a1231e0f9a63194e4ec66f639fe"},"schema_version":"1.0","source":{"id":"1612.01421","kind":"arxiv","version":1}},"canonical_sha256":"3852aec4e31c56cfc777fe816eb7fc5ffffd2845e8bc9d50dfd436cb9e76cba0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3852aec4e31c56cfc777fe816eb7fc5ffffd2845e8bc9d50dfd436cb9e76cba0","first_computed_at":"2026-05-18T00:55:52.690801Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:55:52.690801Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j/AhMKbh+XVRjB5Zb3bISXZAsnjOi/hoD7yHhh82spI7C+gRBD4IOGUhKDXT4Bva666R6Np6BYj5+gcvvOuOCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:55:52.691555Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.01421","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fd1d3e3ccd75520a9c078df166caaac80a83f95721431f757b76960217bdb375","sha256:d70c931a1e5d97a63d7517f1919d39e83651325674bf13093f97ccb8e398f97a"],"state_sha256":"b66761e65033919d09e3482cfe44afe95fd5e0f3f879f0eed5f011265edc4078"}