{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:4BEXXXWWSOVXC4PQBBJIROL2TN","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":"50747007a671ae1e315e565b336795c8885d89add726d87928fc22dad7bea510","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-10-29T04:59:34Z","title_canon_sha256":"8096a2648c650d6b524753729ee2121ff6489282c54464d5d6e8bd48352ed8ef"},"schema_version":"1.0","source":{"id":"1710.10563","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.10563","created_at":"2026-05-18T00:31:47Z"},{"alias_kind":"arxiv_version","alias_value":"1710.10563v1","created_at":"2026-05-18T00:31:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.10563","created_at":"2026-05-18T00:31:47Z"},{"alias_kind":"pith_short_12","alias_value":"4BEXXXWWSOVX","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"4BEXXXWWSOVXC4PQ","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"4BEXXXWW","created_at":"2026-05-18T12:30:58Z"}],"graph_snapshots":[{"event_id":"sha256:72d65251fcc66a16a72c5bc098dfbba9622cf9dc4a2a57e42f71bb132dfbf40c","target":"graph","created_at":"2026-05-18T00:31:47Z","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":"We analyze aspects of extant examples of 2d extremal chiral (super)conformal field theories with $c\\leq 24$. These are theories whose only operators with dimension smaller or equal to $c/24$ are the vacuum and its (super)Virasoro descendents. The prototypical example is the monster CFT, whose famous genus zero property is intimately tied to the Rademacher summability of its twined partition functions, a property which also distinguishes the functions of Mathieu and umbral moonshine. However, there are now several additional known examples of extremal CFTs, all of which have at least $\\mathcal ","authors_text":"Francesca Ferrari, Sarah M. Harrison","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-10-29T04:59:34Z","title":"Properties of extremal CFTs with small central charge"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.10563","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":"sha256:051a2156528547f4b3fc203b1d96176220cc3bce5b0c756eb5e3fb1e661b2ad7","target":"record","created_at":"2026-05-18T00:31:47Z","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":"50747007a671ae1e315e565b336795c8885d89add726d87928fc22dad7bea510","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-10-29T04:59:34Z","title_canon_sha256":"8096a2648c650d6b524753729ee2121ff6489282c54464d5d6e8bd48352ed8ef"},"schema_version":"1.0","source":{"id":"1710.10563","kind":"arxiv","version":1}},"canonical_sha256":"e0497bded693ab7171f0085288b97a9b773420ada071a44178fbf1f27e3694b8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e0497bded693ab7171f0085288b97a9b773420ada071a44178fbf1f27e3694b8","first_computed_at":"2026-05-18T00:31:47.103638Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:31:47.103638Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0wcBLSPB0GBmu1rBcVLk7KxUcoDuMfOaXIRv/7yXtwPV8Dy0NUdCEkeCDbBCPQdHrvvqY+da6Tgt8Aa93PswAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:31:47.104283Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.10563","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:051a2156528547f4b3fc203b1d96176220cc3bce5b0c756eb5e3fb1e661b2ad7","sha256:72d65251fcc66a16a72c5bc098dfbba9622cf9dc4a2a57e42f71bb132dfbf40c"],"state_sha256":"f06e8b0962e811da43f2bf0dc4510bd6b84bc7ae3dc5331e772e2d70e89da429"}