{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:RHJ5BSU2J2IRFRQSMGU7GL6WCT","short_pith_number":"pith:RHJ5BSU2","schema_version":"1.0","canonical_sha256":"89d3d0ca9a4e9112c61261a9f32fd614e4e2897b8800128ba4fe0f3e97ca7287","source":{"kind":"arxiv","id":"2002.01949","version":2},"attestation_state":"computed","paper":{"title":"Rational CFT With Three Characters: The Quasi-Character Approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","math-ph","math.MP","math.NT"],"primary_cat":"hep-th","authors_text":"Palash Singh, Rahul Poddar, Sunil Mukhi","submitted_at":"2020-02-05T19:00:11Z","abstract_excerpt":"Quasi-characters are vector-valued modular functions having an integral, but not necessarily positive, q-expansion. Using modular differential equations, a complete classification has been provided in arXiv:1810.09472 for the case of two characters. These in turn generate all possible admissible characters, of arbitrary Wronskian index, in order two. Here we initiate a study of the three-character case. We conjecture several infinite families of quasi-characters and show in examples that their linear combinations an generate admissible characters with arbitrarily large Wronskian index. The str"},"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":"2002.01949","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-02-05T19:00:11Z","cross_cats_sorted":["cond-mat.str-el","math-ph","math.MP","math.NT"],"title_canon_sha256":"6615ea96f477654b02874738071f200f8b8b95b9d2da5c0b6e15f25f54e7217d","abstract_canon_sha256":"044cd76059e6eb418178d22fcd20bc5265bdf0142e43d49f675bf04c1005f83c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:04:15.023556Z","signature_b64":"7ajLPsa3QwSXYZ2uxSpNxTCDg4gFliT4TycnD6gius9JohvbnuQbL/RvFKygklPn96lb7TRZeHuRkJZ0sM5sAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"89d3d0ca9a4e9112c61261a9f32fd614e4e2897b8800128ba4fe0f3e97ca7287","last_reissued_at":"2026-07-05T01:04:15.023031Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:04:15.023031Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Rational CFT With Three Characters: The Quasi-Character Approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","math-ph","math.MP","math.NT"],"primary_cat":"hep-th","authors_text":"Palash Singh, Rahul Poddar, Sunil Mukhi","submitted_at":"2020-02-05T19:00:11Z","abstract_excerpt":"Quasi-characters are vector-valued modular functions having an integral, but not necessarily positive, q-expansion. Using modular differential equations, a complete classification has been provided in arXiv:1810.09472 for the case of two characters. These in turn generate all possible admissible characters, of arbitrary Wronskian index, in order two. Here we initiate a study of the three-character case. We conjecture several infinite families of quasi-characters and show in examples that their linear combinations an generate admissible characters with arbitrarily large Wronskian index. The str"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2002.01949","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/2002.01949/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":"2002.01949","created_at":"2026-07-05T01:04:15.023091+00:00"},{"alias_kind":"arxiv_version","alias_value":"2002.01949v2","created_at":"2026-07-05T01:04:15.023091+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2002.01949","created_at":"2026-07-05T01:04:15.023091+00:00"},{"alias_kind":"pith_short_12","alias_value":"RHJ5BSU2J2IR","created_at":"2026-07-05T01:04:15.023091+00:00"},{"alias_kind":"pith_short_16","alias_value":"RHJ5BSU2J2IRFRQS","created_at":"2026-07-05T01:04:15.023091+00:00"},{"alias_kind":"pith_short_8","alias_value":"RHJ5BSU2","created_at":"2026-07-05T01:04:15.023091+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":4,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2503.23761","citing_title":"Two approaches to the holomorphic modular bootstrap","ref_index":12,"is_internal_anchor":false},{"citing_arxiv_id":"2507.07170","citing_title":"Signs, growth and admissibility of quasi-characters and the holomorphic modular bootstrap for RCFT","ref_index":12,"is_internal_anchor":false},{"citing_arxiv_id":"2510.24248","citing_title":"Quasi-Characters for three-character Rational Conformal Field Theories","ref_index":12,"is_internal_anchor":false},{"citing_arxiv_id":"2512.02107","citing_title":"Generalised 4d Partition Functions and Modular Differential Equations","ref_index":53,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/RHJ5BSU2J2IRFRQSMGU7GL6WCT","json":"https://pith.science/pith/RHJ5BSU2J2IRFRQSMGU7GL6WCT.json","graph_json":"https://pith.science/api/pith-number/RHJ5BSU2J2IRFRQSMGU7GL6WCT/graph.json","events_json":"https://pith.science/api/pith-number/RHJ5BSU2J2IRFRQSMGU7GL6WCT/events.json","paper":"https://pith.science/paper/RHJ5BSU2"},"agent_actions":{"view_html":"https://pith.science/pith/RHJ5BSU2J2IRFRQSMGU7GL6WCT","download_json":"https://pith.science/pith/RHJ5BSU2J2IRFRQSMGU7GL6WCT.json","view_paper":"https://pith.science/paper/RHJ5BSU2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2002.01949&json=true","fetch_graph":"https://pith.science/api/pith-number/RHJ5BSU2J2IRFRQSMGU7GL6WCT/graph.json","fetch_events":"https://pith.science/api/pith-number/RHJ5BSU2J2IRFRQSMGU7GL6WCT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RHJ5BSU2J2IRFRQSMGU7GL6WCT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RHJ5BSU2J2IRFRQSMGU7GL6WCT/action/storage_attestation","attest_author":"https://pith.science/pith/RHJ5BSU2J2IRFRQSMGU7GL6WCT/action/author_attestation","sign_citation":"https://pith.science/pith/RHJ5BSU2J2IRFRQSMGU7GL6WCT/action/citation_signature","submit_replication":"https://pith.science/pith/RHJ5BSU2J2IRFRQSMGU7GL6WCT/action/replication_record"}},"created_at":"2026-07-05T01:04:15.023091+00:00","updated_at":"2026-07-05T01:04:15.023091+00:00"}