{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:IXIYBTRHAPM3TJIZMME37TLYRI","short_pith_number":"pith:IXIYBTRH","schema_version":"1.0","canonical_sha256":"45d180ce2703d9b9a5196309bfcd788a39d29db2faa00e2e248fc5cff0c07dd7","source":{"kind":"arxiv","id":"1609.04341","version":1},"attestation_state":"computed","paper":{"title":"The Satake sextic in elliptic fibrations on K3","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"math.AG","authors_text":"Andreas Malmendier, Tony Shaska","submitted_at":"2016-09-14T16:45:13Z","abstract_excerpt":"We describe explicit formulas relevant to the F-theory/heterotic string duality that reconstruct from a specific Jacobian elliptic fibration on the Shioda-Inose surface covering a generic Kummer surface the corresponding genus-two curve using the level-two Satake coordinate functions. We derive explicitly the rational map on the moduli space of genus-two curves realizing the algebraic correspondence between a sextic curve and its Satake sextic. We will prove that it is not the original sextic defining the genus-two curve, but its corresponding Satake sextic which is manifest in the F-theory mo"},"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":"1609.04341","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-09-14T16:45:13Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"da02a06d0a3f18d3d2ab61657dd73b3912cf54b6e79eb04edb2a89ba90306a0f","abstract_canon_sha256":"f16d436b6892a8d8660512a82d35a60da07eba68346aa474118f584ed3028cda"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:39:47.444592Z","signature_b64":"/ETPo9ZbCjVfNuy2a5DCoYhKEV7NwJ3t1eZK5gb1d1iTVLx/5nyKWx71eapl3ghAMUvd1Wl7ZwHSrYLoyImZCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"45d180ce2703d9b9a5196309bfcd788a39d29db2faa00e2e248fc5cff0c07dd7","last_reissued_at":"2026-05-18T00:39:47.443859Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:39:47.443859Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Satake sextic in elliptic fibrations on K3","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"math.AG","authors_text":"Andreas Malmendier, Tony Shaska","submitted_at":"2016-09-14T16:45:13Z","abstract_excerpt":"We describe explicit formulas relevant to the F-theory/heterotic string duality that reconstruct from a specific Jacobian elliptic fibration on the Shioda-Inose surface covering a generic Kummer surface the corresponding genus-two curve using the level-two Satake coordinate functions. We derive explicitly the rational map on the moduli space of genus-two curves realizing the algebraic correspondence between a sextic curve and its Satake sextic. We will prove that it is not the original sextic defining the genus-two curve, but its corresponding Satake sextic which is manifest in the F-theory mo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.04341","kind":"arxiv","version":1},"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":"1609.04341","created_at":"2026-05-18T00:39:47.443976+00:00"},{"alias_kind":"arxiv_version","alias_value":"1609.04341v1","created_at":"2026-05-18T00:39:47.443976+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.04341","created_at":"2026-05-18T00:39:47.443976+00:00"},{"alias_kind":"pith_short_12","alias_value":"IXIYBTRHAPM3","created_at":"2026-05-18T12:30:22.444734+00:00"},{"alias_kind":"pith_short_16","alias_value":"IXIYBTRHAPM3TJIZ","created_at":"2026-05-18T12:30:22.444734+00:00"},{"alias_kind":"pith_short_8","alias_value":"IXIYBTRH","created_at":"2026-05-18T12:30:22.444734+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/IXIYBTRHAPM3TJIZMME37TLYRI","json":"https://pith.science/pith/IXIYBTRHAPM3TJIZMME37TLYRI.json","graph_json":"https://pith.science/api/pith-number/IXIYBTRHAPM3TJIZMME37TLYRI/graph.json","events_json":"https://pith.science/api/pith-number/IXIYBTRHAPM3TJIZMME37TLYRI/events.json","paper":"https://pith.science/paper/IXIYBTRH"},"agent_actions":{"view_html":"https://pith.science/pith/IXIYBTRHAPM3TJIZMME37TLYRI","download_json":"https://pith.science/pith/IXIYBTRHAPM3TJIZMME37TLYRI.json","view_paper":"https://pith.science/paper/IXIYBTRH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1609.04341&json=true","fetch_graph":"https://pith.science/api/pith-number/IXIYBTRHAPM3TJIZMME37TLYRI/graph.json","fetch_events":"https://pith.science/api/pith-number/IXIYBTRHAPM3TJIZMME37TLYRI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IXIYBTRHAPM3TJIZMME37TLYRI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IXIYBTRHAPM3TJIZMME37TLYRI/action/storage_attestation","attest_author":"https://pith.science/pith/IXIYBTRHAPM3TJIZMME37TLYRI/action/author_attestation","sign_citation":"https://pith.science/pith/IXIYBTRHAPM3TJIZMME37TLYRI/action/citation_signature","submit_replication":"https://pith.science/pith/IXIYBTRHAPM3TJIZMME37TLYRI/action/replication_record"}},"created_at":"2026-05-18T00:39:47.443976+00:00","updated_at":"2026-05-18T00:39:47.443976+00:00"}