{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1995:CDOBXQ4XIYCGFRHSSYYIBMTJFS","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":"c46b87bf3d97dbf5998e9cbbe904d177dfe336f80241735bc221003eb9433f10","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1995-11-06T20:34:14Z","title_canon_sha256":"871ec84a93c9715f015277cb8da63d1b8a73054f2d3e6971392310330ac6d9c9"},"schema_version":"1.0","source":{"id":"hep-th/9511040","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9511040","created_at":"2026-05-18T02:36:03Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9511040v1","created_at":"2026-05-18T02:36:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9511040","created_at":"2026-05-18T02:36:03Z"},{"alias_kind":"pith_short_12","alias_value":"CDOBXQ4XIYCG","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"CDOBXQ4XIYCGFRHS","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"CDOBXQ4X","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:0985a884e44ca85f8d355dd565a85d8f2ed9919b6c475e92873e560a6301efcd","target":"graph","created_at":"2026-05-18T02:36:03Z","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":"In this paper we explicitly classify all modular invariant partition functions for su(n) at level 2 and 3. Previously, these were known only for level 1. The level 2 exceptionals exist at n=10, 16, and 28; the level 3 exceptionals exist at n=5, 9, and 21. One of these is new, but the others were all anticipated by the \"rank-level duality\" relating su(n) level k and su(k) level n. The main recent result which this paper rests on is the classification of \"ADE_7-type invariants\".","authors_text":"Terry Gannon","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1995-11-06T20:34:14Z","title":"The level 2 and 3 modular invariants of SU(n)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9511040","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":"sha256:26aca5dd10471f6359fb4ed3a208bc9c1a9b8fcfbac4539a371f2dbb42f2aa25","target":"record","created_at":"2026-05-18T02:36:03Z","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":"c46b87bf3d97dbf5998e9cbbe904d177dfe336f80241735bc221003eb9433f10","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1995-11-06T20:34:14Z","title_canon_sha256":"871ec84a93c9715f015277cb8da63d1b8a73054f2d3e6971392310330ac6d9c9"},"schema_version":"1.0","source":{"id":"hep-th/9511040","kind":"arxiv","version":1}},"canonical_sha256":"10dc1bc397460462c4f2963080b2692c861c0cebf4200aee0957d6578393524b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"10dc1bc397460462c4f2963080b2692c861c0cebf4200aee0957d6578393524b","first_computed_at":"2026-05-18T02:36:03.779279Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:36:03.779279Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ePRZheIDZsW5Bi2wiX69/Tc4IG2W2qASCoQ6tuNIlprbJUuA60wOFb83dMWE70as6bkGnTOv0IGr4MqOWO//Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:36:03.779787Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9511040","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:26aca5dd10471f6359fb4ed3a208bc9c1a9b8fcfbac4539a371f2dbb42f2aa25","sha256:0985a884e44ca85f8d355dd565a85d8f2ed9919b6c475e92873e560a6301efcd"],"state_sha256":"19ae2da9f5270c70f39bcecf804f7463b017d4a19463ddd0b71699ed07470d61"}