{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:XI7SHCTWIDWYPYB4SXNPBXAEMP","short_pith_number":"pith:XI7SHCTW","canonical_record":{"source":{"id":"0812.1318","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-12-07T10:10:06Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"128f0e8a3c084acf10abb1da4afc0c3f0664c6adad12453dc4015cec23961816","abstract_canon_sha256":"d2a415a8d4a04a3dbe7072978e0d540d26dde34180035e9c0cfde5b322a7aafb"},"schema_version":"1.0"},"canonical_sha256":"ba3f238a7640ed87e03c95daf0dc0463f52464ea2aa176c3604846e9f52b1e1d","source":{"kind":"arxiv","id":"0812.1318","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0812.1318","created_at":"2026-05-18T03:53:29Z"},{"alias_kind":"arxiv_version","alias_value":"0812.1318v3","created_at":"2026-05-18T03:53:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0812.1318","created_at":"2026-05-18T03:53:29Z"},{"alias_kind":"pith_short_12","alias_value":"XI7SHCTWIDWY","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"XI7SHCTWIDWYPYB4","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"XI7SHCTW","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:XI7SHCTWIDWYPYB4SXNPBXAEMP","target":"record","payload":{"canonical_record":{"source":{"id":"0812.1318","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-12-07T10:10:06Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"128f0e8a3c084acf10abb1da4afc0c3f0664c6adad12453dc4015cec23961816","abstract_canon_sha256":"d2a415a8d4a04a3dbe7072978e0d540d26dde34180035e9c0cfde5b322a7aafb"},"schema_version":"1.0"},"canonical_sha256":"ba3f238a7640ed87e03c95daf0dc0463f52464ea2aa176c3604846e9f52b1e1d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:53:29.807049Z","signature_b64":"xN0vN0CA/NYmOa6bC5nY8et9/sw9iOlvKKwgYYmsUBFGukAqd6NLYGoOmD5wjIWXqayXOaAj3duJlj/VL/LHAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ba3f238a7640ed87e03c95daf0dc0463f52464ea2aa176c3604846e9f52b1e1d","last_reissued_at":"2026-05-18T03:53:29.806262Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:53:29.806262Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0812.1318","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:53:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3YQ+sB46ku3aw57SVgqSTqiJxuWHAAE/L4zIOOi8gIYA+9SWd0fd5Wk2LqBRfxzTddTbzli0lpA0VOWDwPy2Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T04:20:08.074399Z"},"content_sha256":"e2d1ed4976f883f2f8e4bcd9be2a5c41255fc097ac577f723bd95b39c66f993e","schema_version":"1.0","event_id":"sha256:e2d1ed4976f883f2f8e4bcd9be2a5c41255fc097ac577f723bd95b39c66f993e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:XI7SHCTWIDWYPYB4SXNPBXAEMP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the complete classification of the unitary N=2 minimal superconformal field theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Oliver Gray","submitted_at":"2008-12-07T10:10:06Z","abstract_excerpt":"Aiming at a complete classification of unitary N=2 minimal models (where the assumption of space-time supersymmetry has been dropped), it is shown that each modular invariant candidate of a partition function for such a theory is indeed the partition function of a minimal model. A family of models constructed via orbifoldings of either the diagonal model or of the space-time supersymmetric exceptional models demonstrates that there exists a unitary N=2 minimal model for every one of the allowed partition functions in the list obtained from Gannon's work.\n  Kreuzer and Schellekens' conjecture t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0812.1318","kind":"arxiv","version":3},"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":"2026-05-18T03:53:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nJpH8EjaIJHmT7ao9biu2OWuieO2ClBIW4VgOheV/pi2HrQePuzNxB9uDNBaEVQ/4Ii2xkOlE96pb6nwkm10Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T04:20:08.075113Z"},"content_sha256":"7cc8beb7da0b530ef684d1e4ef4c5ddd774ebf916d7c9d7fefd2ffc92b73ff1d","schema_version":"1.0","event_id":"sha256:7cc8beb7da0b530ef684d1e4ef4c5ddd774ebf916d7c9d7fefd2ffc92b73ff1d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XI7SHCTWIDWYPYB4SXNPBXAEMP/bundle.json","state_url":"https://pith.science/pith/XI7SHCTWIDWYPYB4SXNPBXAEMP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XI7SHCTWIDWYPYB4SXNPBXAEMP/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":"2026-05-31T04:20:08Z","links":{"resolver":"https://pith.science/pith/XI7SHCTWIDWYPYB4SXNPBXAEMP","bundle":"https://pith.science/pith/XI7SHCTWIDWYPYB4SXNPBXAEMP/bundle.json","state":"https://pith.science/pith/XI7SHCTWIDWYPYB4SXNPBXAEMP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XI7SHCTWIDWYPYB4SXNPBXAEMP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:XI7SHCTWIDWYPYB4SXNPBXAEMP","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":"d2a415a8d4a04a3dbe7072978e0d540d26dde34180035e9c0cfde5b322a7aafb","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-12-07T10:10:06Z","title_canon_sha256":"128f0e8a3c084acf10abb1da4afc0c3f0664c6adad12453dc4015cec23961816"},"schema_version":"1.0","source":{"id":"0812.1318","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0812.1318","created_at":"2026-05-18T03:53:29Z"},{"alias_kind":"arxiv_version","alias_value":"0812.1318v3","created_at":"2026-05-18T03:53:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0812.1318","created_at":"2026-05-18T03:53:29Z"},{"alias_kind":"pith_short_12","alias_value":"XI7SHCTWIDWY","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"XI7SHCTWIDWYPYB4","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"XI7SHCTW","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:7cc8beb7da0b530ef684d1e4ef4c5ddd774ebf916d7c9d7fefd2ffc92b73ff1d","target":"graph","created_at":"2026-05-18T03:53:29Z","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":"Aiming at a complete classification of unitary N=2 minimal models (where the assumption of space-time supersymmetry has been dropped), it is shown that each modular invariant candidate of a partition function for such a theory is indeed the partition function of a minimal model. A family of models constructed via orbifoldings of either the diagonal model or of the space-time supersymmetric exceptional models demonstrates that there exists a unitary N=2 minimal model for every one of the allowed partition functions in the list obtained from Gannon's work.\n  Kreuzer and Schellekens' conjecture t","authors_text":"Oliver Gray","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-12-07T10:10:06Z","title":"On the complete classification of the unitary N=2 minimal superconformal field theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0812.1318","kind":"arxiv","version":3},"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:e2d1ed4976f883f2f8e4bcd9be2a5c41255fc097ac577f723bd95b39c66f993e","target":"record","created_at":"2026-05-18T03:53:29Z","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":"d2a415a8d4a04a3dbe7072978e0d540d26dde34180035e9c0cfde5b322a7aafb","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-12-07T10:10:06Z","title_canon_sha256":"128f0e8a3c084acf10abb1da4afc0c3f0664c6adad12453dc4015cec23961816"},"schema_version":"1.0","source":{"id":"0812.1318","kind":"arxiv","version":3}},"canonical_sha256":"ba3f238a7640ed87e03c95daf0dc0463f52464ea2aa176c3604846e9f52b1e1d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ba3f238a7640ed87e03c95daf0dc0463f52464ea2aa176c3604846e9f52b1e1d","first_computed_at":"2026-05-18T03:53:29.806262Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:53:29.806262Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xN0vN0CA/NYmOa6bC5nY8et9/sw9iOlvKKwgYYmsUBFGukAqd6NLYGoOmD5wjIWXqayXOaAj3duJlj/VL/LHAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:53:29.807049Z","signed_message":"canonical_sha256_bytes"},"source_id":"0812.1318","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e2d1ed4976f883f2f8e4bcd9be2a5c41255fc097ac577f723bd95b39c66f993e","sha256:7cc8beb7da0b530ef684d1e4ef4c5ddd774ebf916d7c9d7fefd2ffc92b73ff1d"],"state_sha256":"777a9568038e5301a8127b136a4782415995a2458617d53657a8a46314464d7b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N+ywifO98aTrZspU0j4Mv0JEVkRgD9RZIaxYKNK9QcUv5bFIUv4T48bRkVk4Ml6EafNEfhzGHLfzKQ4zlH/fDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T04:20:08.079100Z","bundle_sha256":"6b4106ee65e669ac4dd2c271acc048fbcf3b768cc5d3facf2513ee4d2bd8cf5e"}}