{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:HBJK5RHDDRLM7R3X72AW5N74L7","short_pith_number":"pith:HBJK5RHD","canonical_record":{"source":{"id":"1612.01421","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2016-12-05T16:34:09Z","cross_cats_sorted":[],"title_canon_sha256":"4e490c6c480874bbdd52b50ffcfce73638448a1231e0f9a63194e4ec66f639fe","abstract_canon_sha256":"77b1d7eb34017d26971cc50ec8febcb493ca0ff6106b92dadb81067cf0b1664b"},"schema_version":"1.0"},"canonical_sha256":"3852aec4e31c56cfc777fe816eb7fc5ffffd2845e8bc9d50dfd436cb9e76cba0","source":{"kind":"arxiv","id":"1612.01421","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:HBJK5RHDDRLM7R3X72AW5N74L7","target":"record","payload":{"canonical_record":{"source":{"id":"1612.01421","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2016-12-05T16:34:09Z","cross_cats_sorted":[],"title_canon_sha256":"4e490c6c480874bbdd52b50ffcfce73638448a1231e0f9a63194e4ec66f639fe","abstract_canon_sha256":"77b1d7eb34017d26971cc50ec8febcb493ca0ff6106b92dadb81067cf0b1664b"},"schema_version":"1.0"},"canonical_sha256":"3852aec4e31c56cfc777fe816eb7fc5ffffd2845e8bc9d50dfd436cb9e76cba0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:55:52.691555Z","signature_b64":"j/AhMKbh+XVRjB5Zb3bISXZAsnjOi/hoD7yHhh82spI7C+gRBD4IOGUhKDXT4Bva666R6Np6BYj5+gcvvOuOCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3852aec4e31c56cfc777fe816eb7fc5ffffd2845e8bc9d50dfd436cb9e76cba0","last_reissued_at":"2026-05-18T00:55:52.690801Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:55:52.690801Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1612.01421","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:55:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"esxkJ6Me79uk0Ru0vWRAchsvHa9z9jdOU+/RhxZx6utmfJMHyYb8gVUv/pOeMa+EjbwhMVVfiOf4xDcMfDQMDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T03:31:10.172708Z"},"content_sha256":"fd1d3e3ccd75520a9c078df166caaac80a83f95721431f757b76960217bdb375","schema_version":"1.0","event_id":"sha256:fd1d3e3ccd75520a9c078df166caaac80a83f95721431f757b76960217bdb375"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:HBJK5RHDDRLM7R3X72AW5N74L7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nuclearity properties and $C^*$-envelopes of operator system inductive limits","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Ajay Kumar, Preeti Luthra","submitted_at":"2016-12-05T16:34:09Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.01421","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:55:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Nlt0Ocbxl/rFXIeudqIEKsRIEVmagi1ZQxxenpm7qbqxgD28CRMjUD8xBg9Yy58/suEMt/VWwcAeGXjvlGniBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T03:31:10.173050Z"},"content_sha256":"d70c931a1e5d97a63d7517f1919d39e83651325674bf13093f97ccb8e398f97a","schema_version":"1.0","event_id":"sha256:d70c931a1e5d97a63d7517f1919d39e83651325674bf13093f97ccb8e398f97a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HBJK5RHDDRLM7R3X72AW5N74L7/bundle.json","state_url":"https://pith.science/pith/HBJK5RHDDRLM7R3X72AW5N74L7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HBJK5RHDDRLM7R3X72AW5N74L7/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-01T03:31:10Z","links":{"resolver":"https://pith.science/pith/HBJK5RHDDRLM7R3X72AW5N74L7","bundle":"https://pith.science/pith/HBJK5RHDDRLM7R3X72AW5N74L7/bundle.json","state":"https://pith.science/pith/HBJK5RHDDRLM7R3X72AW5N74L7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HBJK5RHDDRLM7R3X72AW5N74L7/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yOSBWZfQIca4UwNfFVs/3xKrXVMyCBi8Adw1Mig8d016n3t6qQlMcS7txjoWYLRNQWzBMOnzLTZxFJ5ox0QsBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T03:31:10.174921Z","bundle_sha256":"06461f0004713ef3ac6a9c8d20088d5655ff8bffac20869fc5e88c7a808982f3"}}