{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:BT7XWR76YY7F2LHQR7I4BGGDTT","short_pith_number":"pith:BT7XWR76","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"},"canonical_sha256":"0cff7b47fec63e5d2cf08fd1c098c39ccfad1b1db6f330900731318a69f09f1a","source":{"kind":"arxiv","id":"2210.06805","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.06805","created_at":"2026-07-05T06:18:36Z"},{"alias_kind":"arxiv_version","alias_value":"2210.06805v2","created_at":"2026-07-05T06:18:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.06805","created_at":"2026-07-05T06:18:36Z"},{"alias_kind":"pith_short_12","alias_value":"BT7XWR76YY7F","created_at":"2026-07-05T06:18:36Z"},{"alias_kind":"pith_short_16","alias_value":"BT7XWR76YY7F2LHQ","created_at":"2026-07-05T06:18:36Z"},{"alias_kind":"pith_short_8","alias_value":"BT7XWR76","created_at":"2026-07-05T06:18:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:BT7XWR76YY7F2LHQR7I4BGGDTT","target":"record","payload":{"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"},"canonical_sha256":"0cff7b47fec63e5d2cf08fd1c098c39ccfad1b1db6f330900731318a69f09f1a","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"},"source_kind":"arxiv","source_id":"2210.06805","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:18:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oGnWQ1GGFtq1F2XU33ftpei63hl/g0iKYvcbmR4xN0wGOyKA1TKtxwjuFma9N6i5JKfxfaFyqax9lPfdbqQkDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T10:51:53.627684Z"},"content_sha256":"61575c6737ad3c278a2f9ae562680787ae0bb04967e93cbcc46866523799a5ce","schema_version":"1.0","event_id":"sha256:61575c6737ad3c278a2f9ae562680787ae0bb04967e93cbcc46866523799a5ce"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:BT7XWR76YY7F2LHQR7I4BGGDTT","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:18:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4K76owIPaR0oHT/+RYalKLXP0Al2mw/+2u5HLYq1ASsEB+s7qGJvf/zY606Cb8NSCHYpZR2a+PmTuA6/PhowAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T10:51:53.628202Z"},"content_sha256":"9264d7d0aff37b34bba69cd1e8079b4738ceff86b9840e2ba123f60ec3ec7f03","schema_version":"1.0","event_id":"sha256:9264d7d0aff37b34bba69cd1e8079b4738ceff86b9840e2ba123f60ec3ec7f03"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BT7XWR76YY7F2LHQR7I4BGGDTT/bundle.json","state_url":"https://pith.science/pith/BT7XWR76YY7F2LHQR7I4BGGDTT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BT7XWR76YY7F2LHQR7I4BGGDTT/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":"2026-08-04T10:51:53Z","links":{"resolver":"https://pith.science/pith/BT7XWR76YY7F2LHQR7I4BGGDTT","bundle":"https://pith.science/pith/BT7XWR76YY7F2LHQR7I4BGGDTT/bundle.json","state":"https://pith.science/pith/BT7XWR76YY7F2LHQR7I4BGGDTT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BT7XWR76YY7F2LHQR7I4BGGDTT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:BT7XWR76YY7F2LHQR7I4BGGDTT","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":"f5c6a1501a068b3b1bf655382bbf82d30a501440578ca8b1964321fdee207d7b","cross_cats_sorted":["cond-mat.str-el"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"hep-th","submitted_at":"2022-10-13T07:36:23Z","title_canon_sha256":"52b8ab574973c2bc661612f1237ddac7a0659c9b9ff18888923c1f65d5e0aee9"},"schema_version":"1.0","source":{"id":"2210.06805","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.06805","created_at":"2026-07-05T06:18:36Z"},{"alias_kind":"arxiv_version","alias_value":"2210.06805v2","created_at":"2026-07-05T06:18:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.06805","created_at":"2026-07-05T06:18:36Z"},{"alias_kind":"pith_short_12","alias_value":"BT7XWR76YY7F","created_at":"2026-07-05T06:18:36Z"},{"alias_kind":"pith_short_16","alias_value":"BT7XWR76YY7F2LHQ","created_at":"2026-07-05T06:18:36Z"},{"alias_kind":"pith_short_8","alias_value":"BT7XWR76","created_at":"2026-07-05T06:18:36Z"}],"graph_snapshots":[{"event_id":"sha256:9264d7d0aff37b34bba69cd1e8079b4738ceff86b9840e2ba123f60ec3ec7f03","target":"graph","created_at":"2026-07-05T06:18:36Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2210.06805/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"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","authors_text":"Kimyeong Lee, Linfeng Li, Sungjay Lee, Zhihao Duan","cross_cats":["cond-mat.str-el"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"hep-th","submitted_at":"2022-10-13T07:36:23Z","title":"On Classification of Fermionic Rational Conformal Field Theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.06805","kind":"arxiv","version":2},"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":"sha256:61575c6737ad3c278a2f9ae562680787ae0bb04967e93cbcc46866523799a5ce","target":"record","created_at":"2026-07-05T06:18:36Z","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":"f5c6a1501a068b3b1bf655382bbf82d30a501440578ca8b1964321fdee207d7b","cross_cats_sorted":["cond-mat.str-el"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"hep-th","submitted_at":"2022-10-13T07:36:23Z","title_canon_sha256":"52b8ab574973c2bc661612f1237ddac7a0659c9b9ff18888923c1f65d5e0aee9"},"schema_version":"1.0","source":{"id":"2210.06805","kind":"arxiv","version":2}},"canonical_sha256":"0cff7b47fec63e5d2cf08fd1c098c39ccfad1b1db6f330900731318a69f09f1a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0cff7b47fec63e5d2cf08fd1c098c39ccfad1b1db6f330900731318a69f09f1a","first_computed_at":"2026-07-05T06:18:36.517680Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:18:36.517680Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SCXLYn1Ncze7fyhB9romMyYGSFBoQwv/Vp/EcB+QgWuu86YksOTTKiIg8TJ3cViZB5Ld1Z7pDYCmWZFub3ZZCg==","signature_status":"signed_v1","signed_at":"2026-07-05T06:18:36.518149Z","signed_message":"canonical_sha256_bytes"},"source_id":"2210.06805","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:61575c6737ad3c278a2f9ae562680787ae0bb04967e93cbcc46866523799a5ce","sha256:9264d7d0aff37b34bba69cd1e8079b4738ceff86b9840e2ba123f60ec3ec7f03"],"state_sha256":"d7f3d91cbdb2d5d183bfc0a4fec05c510c436785bd0e76a1184827db0ef27689"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0WFIWfpT4skZA+coxmNEWbjMPQuJpPdyNzT4no99pBAr7/dG6HAlC3mkQ1wpIoykpFvPnBInk3MeLIQ3+azLBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T10:51:53.632877Z","bundle_sha256":"2c77617078d960e16335912787672ea7ccf0a8856755b8e4510f3efce29a2b7a"}}