{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:UC45KUXGVBSPE5VD4CKB3VKMGE","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":"3a99b510a5ca6ffe590e57650f06fcaa31be634c05fc377387612085a9d764f0","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2012-11-02T16:23:07Z","title_canon_sha256":"e58c64fcc6009bb60931a04993b74e0944fbce9f571d05bb43e5ae14e4d540a1"},"schema_version":"1.0","source":{"id":"1211.0484","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.0484","created_at":"2026-05-18T01:53:26Z"},{"alias_kind":"arxiv_version","alias_value":"1211.0484v1","created_at":"2026-05-18T01:53:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.0484","created_at":"2026-05-18T01:53:26Z"},{"alias_kind":"pith_short_12","alias_value":"UC45KUXGVBSP","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"UC45KUXGVBSPE5VD","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"UC45KUXG","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:b37a7297ff10f3e98250eb44e88437f07c5949a568251d69a89211ef8385fc35","target":"graph","created_at":"2026-05-18T01:53:26Z","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":"Motivated by our subfactor generalization of Wall's conjecture, in this paper we determine all intermediate subfactors for conformal subnets corresponding to four infinite series of conformal inclusions, and as a consequence we verify that these series of subfactors verify our conjecture. Our results can be stated in the framework of Vertex Operator Algebras. We also verify our conjecture for Jones-Wassermann subfactors from representations of Loop groups extending our earlier results.","authors_text":"Feng Xu","cross_cats":["math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2012-11-02T16:23:07Z","title":"On examples of intermediate subfactors from conformal field theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.0484","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":"sha256:6ee8af700a183a6ba9ae57c4e6d3386dfe654e57d38ed171057340ae76d06bc3","target":"record","created_at":"2026-05-18T01:53:26Z","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":"3a99b510a5ca6ffe590e57650f06fcaa31be634c05fc377387612085a9d764f0","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2012-11-02T16:23:07Z","title_canon_sha256":"e58c64fcc6009bb60931a04993b74e0944fbce9f571d05bb43e5ae14e4d540a1"},"schema_version":"1.0","source":{"id":"1211.0484","kind":"arxiv","version":1}},"canonical_sha256":"a0b9d552e6a864f276a3e0941dd54c311bded8f4b66e28b955599af9fed4771e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a0b9d552e6a864f276a3e0941dd54c311bded8f4b66e28b955599af9fed4771e","first_computed_at":"2026-05-18T01:53:26.548909Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:53:26.548909Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DwAilDeixSyUIm0D9RT6iY3EenBbX/CXbRWEyZ2KNWjQ/DxUoIX9O8c9xqkem6emr55ZG6+C5ECf0FUtvBGADg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:53:26.549544Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.0484","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6ee8af700a183a6ba9ae57c4e6d3386dfe654e57d38ed171057340ae76d06bc3","sha256:b37a7297ff10f3e98250eb44e88437f07c5949a568251d69a89211ef8385fc35"],"state_sha256":"26c2c4f116c0dc32c1179cac40d35415d977b0f8a6d9b36fd70c8bbd4ab5edab"}