{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:BT7XWR76YY7F2LHQR7I4BGGDTT","short_pith_number":"pith:BT7XWR76","schema_version":"1.0","canonical_sha256":"0cff7b47fec63e5d2cf08fd1c098c39ccfad1b1db6f330900731318a69f09f1a","source":{"kind":"arxiv","id":"2210.06805","version":2},"attestation_state":"computed","paper":{"title":"On Classification of Fermionic Rational Conformal Field Theories","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"hep-th","authors_text":"Kimyeong Lee, Linfeng Li, Sungjay Lee, Zhihao Duan","submitted_at":"2022-10-13T07:36:23Z","abstract_excerpt":"We systematically study how the integrality of the conformal characters shapes the space of fermionic rational conformal field theories in two dimensions. The integrality suggests that conformal characters on torus with a given choice of spin structures should be invariant under a principal congruence subgroup of $\\mathrm{PSL}(2,\\mathbb{Z})$. The invariance strongly constrains the possible values of the central charge as well as the conformal weights in both Neveu-Schwarz and Ramond sectors, which improves the conventional holomorphic modular bootstrap method in a significant manner. This allo"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2210.06805","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"hep-th","submitted_at":"2022-10-13T07:36:23Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"52b8ab574973c2bc661612f1237ddac7a0659c9b9ff18888923c1f65d5e0aee9","abstract_canon_sha256":"f5c6a1501a068b3b1bf655382bbf82d30a501440578ca8b1964321fdee207d7b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:18:36.518149Z","signature_b64":"SCXLYn1Ncze7fyhB9romMyYGSFBoQwv/Vp/EcB+QgWuu86YksOTTKiIg8TJ3cViZB5Ld1Z7pDYCmWZFub3ZZCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0cff7b47fec63e5d2cf08fd1c098c39ccfad1b1db6f330900731318a69f09f1a","last_reissued_at":"2026-07-05T06:18:36.517680Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:18:36.517680Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Classification of Fermionic Rational Conformal Field Theories","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"hep-th","authors_text":"Kimyeong Lee, Linfeng Li, Sungjay Lee, Zhihao Duan","submitted_at":"2022-10-13T07:36:23Z","abstract_excerpt":"We systematically study how the integrality of the conformal characters shapes the space of fermionic rational conformal field theories in two dimensions. The integrality suggests that conformal characters on torus with a given choice of spin structures should be invariant under a principal congruence subgroup of $\\mathrm{PSL}(2,\\mathbb{Z})$. The invariance strongly constrains the possible values of the central charge as well as the conformal weights in both Neveu-Schwarz and Ramond sectors, which improves the conventional holomorphic modular bootstrap method in a significant manner. This allo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.06805","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2210.06805/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2210.06805","created_at":"2026-07-05T06:18:36.517746+00:00"},{"alias_kind":"arxiv_version","alias_value":"2210.06805v2","created_at":"2026-07-05T06:18:36.517746+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.06805","created_at":"2026-07-05T06:18:36.517746+00:00"},{"alias_kind":"pith_short_12","alias_value":"BT7XWR76YY7F","created_at":"2026-07-05T06:18:36.517746+00:00"},{"alias_kind":"pith_short_16","alias_value":"BT7XWR76YY7F2LHQ","created_at":"2026-07-05T06:18:36.517746+00:00"},{"alias_kind":"pith_short_8","alias_value":"BT7XWR76","created_at":"2026-07-05T06:18:36.517746+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2512.02107","citing_title":"Generalised 4d Partition Functions and Modular Differential Equations","ref_index":61,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/BT7XWR76YY7F2LHQR7I4BGGDTT","json":"https://pith.science/pith/BT7XWR76YY7F2LHQR7I4BGGDTT.json","graph_json":"https://pith.science/api/pith-number/BT7XWR76YY7F2LHQR7I4BGGDTT/graph.json","events_json":"https://pith.science/api/pith-number/BT7XWR76YY7F2LHQR7I4BGGDTT/events.json","paper":"https://pith.science/paper/BT7XWR76"},"agent_actions":{"view_html":"https://pith.science/pith/BT7XWR76YY7F2LHQR7I4BGGDTT","download_json":"https://pith.science/pith/BT7XWR76YY7F2LHQR7I4BGGDTT.json","view_paper":"https://pith.science/paper/BT7XWR76","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2210.06805&json=true","fetch_graph":"https://pith.science/api/pith-number/BT7XWR76YY7F2LHQR7I4BGGDTT/graph.json","fetch_events":"https://pith.science/api/pith-number/BT7XWR76YY7F2LHQR7I4BGGDTT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BT7XWR76YY7F2LHQR7I4BGGDTT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BT7XWR76YY7F2LHQR7I4BGGDTT/action/storage_attestation","attest_author":"https://pith.science/pith/BT7XWR76YY7F2LHQR7I4BGGDTT/action/author_attestation","sign_citation":"https://pith.science/pith/BT7XWR76YY7F2LHQR7I4BGGDTT/action/citation_signature","submit_replication":"https://pith.science/pith/BT7XWR76YY7F2LHQR7I4BGGDTT/action/replication_record"}},"created_at":"2026-07-05T06:18:36.517746+00:00","updated_at":"2026-07-05T06:18:36.517746+00:00"}