{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:NT6XGXJXCDYSI5ZNBH2P42PDYQ","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":"72b38ced73864e372899d8951d4c85cd35ef57feadcf74b63bd50e103aaa21bd","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-03-31T05:42:06Z","title_canon_sha256":"6622d976959b1097f158fb466d5d9278273aa4571a49ec69ad445dc24c640fe7"},"schema_version":"1.0","source":{"id":"2503.23741","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.23741","created_at":"2026-07-05T10:43:07Z"},{"alias_kind":"arxiv_version","alias_value":"2503.23741v2","created_at":"2026-07-05T10:43:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.23741","created_at":"2026-07-05T10:43:07Z"},{"alias_kind":"pith_short_12","alias_value":"NT6XGXJXCDYS","created_at":"2026-07-05T10:43:07Z"},{"alias_kind":"pith_short_16","alias_value":"NT6XGXJXCDYSI5ZN","created_at":"2026-07-05T10:43:07Z"},{"alias_kind":"pith_short_8","alias_value":"NT6XGXJX","created_at":"2026-07-05T10:43:07Z"}],"graph_snapshots":[{"event_id":"sha256:4fe8061ee67a36012ba9e4bde27ba8aa08f9c23677b98727b997e0791765ddbe","target":"graph","created_at":"2026-07-05T10:43:07Z","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/2503.23741/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study modular symmetries in non-supersymmetric heterotic string theories on toroidal backgrounds with Wilson line modulus, constructed by stringy Scherk-Schwartz compactification. In particular, we focus on a subgroup of the T-duality group $O(D+16,D,\\mathbb{Z})$ with $D=2$ given by an outer automorphism of the Narain lattice, which can be mapped to the Siegel modular group $\\mathrm{Sp}(4,\\mathbb{Z})$. We classify the modular symmetries and a $CP$-like symmetry on $T^2$ and its orbifolds with symmetric and asymmetric orbifold twists. It turns out that the non-supersymmetric heterotic string","authors_text":"Hajime Otsuka, Shuta Funakoshi, Yuichi Koga","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-03-31T05:42:06Z","title":"Classification of Modular Symmetries in Non-Supersymmetric Heterotic String theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.23741","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":"sha256:12f6d1f29339856360cfcea4d6d57ede768b4c23be686b8dc814c458b5f5e991","target":"record","created_at":"2026-07-05T10:43:07Z","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":"72b38ced73864e372899d8951d4c85cd35ef57feadcf74b63bd50e103aaa21bd","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-03-31T05:42:06Z","title_canon_sha256":"6622d976959b1097f158fb466d5d9278273aa4571a49ec69ad445dc24c640fe7"},"schema_version":"1.0","source":{"id":"2503.23741","kind":"arxiv","version":2}},"canonical_sha256":"6cfd735d3710f124772d09f4fe69e3c40fa347bbc2ef8bb0796c7b72289aae62","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6cfd735d3710f124772d09f4fe69e3c40fa347bbc2ef8bb0796c7b72289aae62","first_computed_at":"2026-07-05T10:43:07.322658Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:43:07.322658Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"R4voRq0S35kzsGbqq850T7iV1fxfInF5TXceKq1qemdkFqYp4svmBC/U3UsZfxMC6GzOnVzZNChOi67C91ZlCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:43:07.323162Z","signed_message":"canonical_sha256_bytes"},"source_id":"2503.23741","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:12f6d1f29339856360cfcea4d6d57ede768b4c23be686b8dc814c458b5f5e991","sha256:4fe8061ee67a36012ba9e4bde27ba8aa08f9c23677b98727b997e0791765ddbe"],"state_sha256":"d463b333a1b0ef1bc1a70e88e0c7e94cbd68479cf83fcab173fbf01a7dbfd5ae"}