{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:D2HJORZEYOY33U7YJZXNME6ZTB","short_pith_number":"pith:D2HJORZE","schema_version":"1.0","canonical_sha256":"1e8e974724c3b1bdd3f84e6ed613d99879148ab6d88cd8e27f5e639194543309","source":{"kind":"arxiv","id":"1504.07260","version":3},"attestation_state":"computed","paper":{"title":"Fricke S-duality in CHL models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"hep-th","authors_text":"Daniel Persson, Roberto Volpato","submitted_at":"2015-04-27T20:08:51Z","abstract_excerpt":"We consider four dimensional CHL models with sixteen spacetime supersymmetries obtained from orbifolds of type IIA superstring on K3 x T^2 by a Z_N symmetry acting (possibly) non-geometrically on K3. We show that most of these models (in particular, for geometric symmetries) are self-dual under a weak-strong duality acting on the heterotic axio-dilaton modulus S by a \"Fricke involution\" S --> -1/NS. This is a novel symmetry of CHL models that lies outside of the standard SL(2,Z)-symmetry of the parent theory, heterotic strings on T^6. For self-dual models this implies that the lattice of purel"},"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":"1504.07260","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-04-27T20:08:51Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"f3f39cea990dd65143ae4b5f1ebf152908eaf64093beda261a010ec6685b4669","abstract_canon_sha256":"c9b829d837ed9f61852dfa4ac9498e5b089fa463e7850e412d306403785f268b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:57:38.360421Z","signature_b64":"+zh18OKpQFcrs+dr5mqsguFpBEDtlLwGkhPfUe4oge7+9whiVf/iPRSqSfVJbmnhlrAV2XA5GENMDPw9gxZcBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1e8e974724c3b1bdd3f84e6ed613d99879148ab6d88cd8e27f5e639194543309","last_reissued_at":"2026-05-18T00:57:38.359893Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:57:38.359893Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fricke S-duality in CHL models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"hep-th","authors_text":"Daniel Persson, Roberto Volpato","submitted_at":"2015-04-27T20:08:51Z","abstract_excerpt":"We consider four dimensional CHL models with sixteen spacetime supersymmetries obtained from orbifolds of type IIA superstring on K3 x T^2 by a Z_N symmetry acting (possibly) non-geometrically on K3. We show that most of these models (in particular, for geometric symmetries) are self-dual under a weak-strong duality acting on the heterotic axio-dilaton modulus S by a \"Fricke involution\" S --> -1/NS. This is a novel symmetry of CHL models that lies outside of the standard SL(2,Z)-symmetry of the parent theory, heterotic strings on T^6. For self-dual models this implies that the lattice of purel"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.07260","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1504.07260","created_at":"2026-05-18T00:57:38.359978+00:00"},{"alias_kind":"arxiv_version","alias_value":"1504.07260v3","created_at":"2026-05-18T00:57:38.359978+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.07260","created_at":"2026-05-18T00:57:38.359978+00:00"},{"alias_kind":"pith_short_12","alias_value":"D2HJORZEYOY3","created_at":"2026-05-18T12:29:17.054201+00:00"},{"alias_kind":"pith_short_16","alias_value":"D2HJORZEYOY33U7Y","created_at":"2026-05-18T12:29:17.054201+00:00"},{"alias_kind":"pith_short_8","alias_value":"D2HJORZE","created_at":"2026-05-18T12:29:17.054201+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/D2HJORZEYOY33U7YJZXNME6ZTB","json":"https://pith.science/pith/D2HJORZEYOY33U7YJZXNME6ZTB.json","graph_json":"https://pith.science/api/pith-number/D2HJORZEYOY33U7YJZXNME6ZTB/graph.json","events_json":"https://pith.science/api/pith-number/D2HJORZEYOY33U7YJZXNME6ZTB/events.json","paper":"https://pith.science/paper/D2HJORZE"},"agent_actions":{"view_html":"https://pith.science/pith/D2HJORZEYOY33U7YJZXNME6ZTB","download_json":"https://pith.science/pith/D2HJORZEYOY33U7YJZXNME6ZTB.json","view_paper":"https://pith.science/paper/D2HJORZE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1504.07260&json=true","fetch_graph":"https://pith.science/api/pith-number/D2HJORZEYOY33U7YJZXNME6ZTB/graph.json","fetch_events":"https://pith.science/api/pith-number/D2HJORZEYOY33U7YJZXNME6ZTB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/D2HJORZEYOY33U7YJZXNME6ZTB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/D2HJORZEYOY33U7YJZXNME6ZTB/action/storage_attestation","attest_author":"https://pith.science/pith/D2HJORZEYOY33U7YJZXNME6ZTB/action/author_attestation","sign_citation":"https://pith.science/pith/D2HJORZEYOY33U7YJZXNME6ZTB/action/citation_signature","submit_replication":"https://pith.science/pith/D2HJORZEYOY33U7YJZXNME6ZTB/action/replication_record"}},"created_at":"2026-05-18T00:57:38.359978+00:00","updated_at":"2026-05-18T00:57:38.359978+00:00"}