{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:Y7IO6E637J7S7QC5GOUNXOM7II","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":"a16e2997c6d061b59810c2f4c77ca1e6f7570a79e570dd3b143e1de675f154af","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-12-31T01:42:06Z","title_canon_sha256":"a8283b89662733338fdc84406f3bb875549229dbd733c384ff0b600b575f21dc"},"schema_version":"1.0","source":{"id":"1501.00063","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.00063","created_at":"2026-05-18T02:30:10Z"},{"alias_kind":"arxiv_version","alias_value":"1501.00063v1","created_at":"2026-05-18T02:30:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.00063","created_at":"2026-05-18T02:30:10Z"},{"alias_kind":"pith_short_12","alias_value":"Y7IO6E637J7S","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"Y7IO6E637J7S7QC5","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"Y7IO6E63","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:aec203920023cb70595988c69b987f1841b49c825bff0be777ef31b15177f6ce","target":"graph","created_at":"2026-05-18T02:30:10Z","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 irreducible modules of the 2-cycle permutation orbifold models of lattice vertex operator algebras of rank 1 are classified, the quantum dimensions of irreducible modules and the fusion rules are determined.","authors_text":"Chongying Dong, Feng Xu, Nina Yu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-12-31T01:42:06Z","title":"Cyclic permutations of lattice vertex operator algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.00063","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":"sha256:4dc086d561e37bdd186396c8ed760ad122fbe7982946432b7f7b04a111ae79f1","target":"record","created_at":"2026-05-18T02:30:10Z","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":"a16e2997c6d061b59810c2f4c77ca1e6f7570a79e570dd3b143e1de675f154af","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-12-31T01:42:06Z","title_canon_sha256":"a8283b89662733338fdc84406f3bb875549229dbd733c384ff0b600b575f21dc"},"schema_version":"1.0","source":{"id":"1501.00063","kind":"arxiv","version":1}},"canonical_sha256":"c7d0ef13dbfa7f2fc05d33a8dbb99f4204ea284bfb8fceb68d4d7b90d5dc1842","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c7d0ef13dbfa7f2fc05d33a8dbb99f4204ea284bfb8fceb68d4d7b90d5dc1842","first_computed_at":"2026-05-18T02:30:10.258263Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:30:10.258263Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FRXBtrPBjzjHi2jYcLBin6bkYWjISgD2Mx21AdRRc+7aVBn1ZnqL+sFpLMYbdwbTESnetFEXEvTwRyWcBh4aAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:30:10.258726Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.00063","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4dc086d561e37bdd186396c8ed760ad122fbe7982946432b7f7b04a111ae79f1","sha256:aec203920023cb70595988c69b987f1841b49c825bff0be777ef31b15177f6ce"],"state_sha256":"d8016eace075dbbd71586edbb3da746967a79edd98a702edadde7044b1997278"}