{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:C53LCIC2RD67CCE5MOWPQLCFZT","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":"07a18394d16d0722df5beee93656bc52b723e3def1286e9748181d3bc5a1bf77","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2012-11-05T17:09:55Z","title_canon_sha256":"04c6b6130982a8ecb96abecc00358bc74b22fb5d7bb6b6970c7ef23681a4e1e8"},"schema_version":"1.0","source":{"id":"1211.0931","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.0931","created_at":"2026-05-18T03:41:00Z"},{"alias_kind":"arxiv_version","alias_value":"1211.0931v2","created_at":"2026-05-18T03:41:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.0931","created_at":"2026-05-18T03:41:00Z"},{"alias_kind":"pith_short_12","alias_value":"C53LCIC2RD67","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"C53LCIC2RD67CCE5","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"C53LCIC2","created_at":"2026-05-18T12:27:01Z"}],"graph_snapshots":[{"event_id":"sha256:1eb12aac3937a7c9bdec5c61431c5a34b098117911f2dfa115fca9784dfd0087","target":"graph","created_at":"2026-05-18T03:41:00Z","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":"The mirror extensions for vertex operator algebras are studied. Two explicit examples which are not simple current extensions of some affine vertex operator algebras of type $A$ are given.","authors_text":"Chongying Dong, Feng Xu, Xiangyu Jiao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2012-11-05T17:09:55Z","title":"Mirror Extensions of Vertex Operator Algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.0931","kind":"arxiv","version":2},"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":"sha256:2cdd509da45a50d24fd95c46e3338062191b06c7836ebd85fd235c899312a7f4","target":"record","created_at":"2026-05-18T03:41:00Z","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":"07a18394d16d0722df5beee93656bc52b723e3def1286e9748181d3bc5a1bf77","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2012-11-05T17:09:55Z","title_canon_sha256":"04c6b6130982a8ecb96abecc00358bc74b22fb5d7bb6b6970c7ef23681a4e1e8"},"schema_version":"1.0","source":{"id":"1211.0931","kind":"arxiv","version":2}},"canonical_sha256":"1776b1205a88fdf1089d63acf82c45cce91219a54f87939d14f13cdc3bb4e5af","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1776b1205a88fdf1089d63acf82c45cce91219a54f87939d14f13cdc3bb4e5af","first_computed_at":"2026-05-18T03:41:00.822784Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:41:00.822784Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4bE+gvdcy+Jdwzalr4pjUVX3aXbcl4WYyXFQ4VxoBBY5OuskKeEpqDQlsehtc2xcM5uGPGcSwG8cXbiNfFfQAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:41:00.823397Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.0931","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2cdd509da45a50d24fd95c46e3338062191b06c7836ebd85fd235c899312a7f4","sha256:1eb12aac3937a7c9bdec5c61431c5a34b098117911f2dfa115fca9784dfd0087"],"state_sha256":"805c113404ca996a5c26fd144357256e315df8ee8ba655639bf4c5e882a97411"}