{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:PKUTANFU2Z2W3QOJ2DMHILE4AG","short_pith_number":"pith:PKUTANFU","schema_version":"1.0","canonical_sha256":"7aa93034b4d6756dc1c9d0d8742c9c01805bfb7d308d89308560edc9f66d56c1","source":{"kind":"arxiv","id":"1709.02820","version":1},"attestation_state":"computed","paper":{"title":"Modular Amplitudes and Flux-Superpotentials on elliptic Calabi-Yau fourfolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"hep-th","authors_text":"Albrecht Klemm, Cesar Fierro Cota, Thorsten Schimannek","submitted_at":"2017-09-08T18:03:56Z","abstract_excerpt":"We discuss the period geometry and the topological string amplitudes on elliptically fibered Calabi-Yau fourfolds in toric ambient spaces. In particular, we describe a general procedure to fix integral periods. Using some elementary facts from homological mirror symmetry we then obtain Bridgelands involution and its monodromy action on the integral basis for non-singular elliptically fibered fourfolds. The full monodromy group contains a subgroup that acts as PSL(2,Z) on the K\\\"ahler modulus of the fiber and we analyze the consequences of this modularity for the genus zero and genus one amplit"},"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":"1709.02820","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-09-08T18:03:56Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"12c1de3d526c32d9f41bb5d17aab4a448db72fca797aea7b6c5a0041fdd50cab","abstract_canon_sha256":"1193d8d7ccc2de766df53e4f33b0791e473a85a1017e3788d8d75b88540e0976"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:35:40.414986Z","signature_b64":"DWI4efFjYOdfWkMrc5lzdt1DH3XefqWSMwqZdzRkHuiTB2GImSTMbELAzPDzeNKZm0o9oleRXj21WNWYd+IvAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7aa93034b4d6756dc1c9d0d8742c9c01805bfb7d308d89308560edc9f66d56c1","last_reissued_at":"2026-05-18T00:35:40.414291Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:35:40.414291Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Modular Amplitudes and Flux-Superpotentials on elliptic Calabi-Yau fourfolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"hep-th","authors_text":"Albrecht Klemm, Cesar Fierro Cota, Thorsten Schimannek","submitted_at":"2017-09-08T18:03:56Z","abstract_excerpt":"We discuss the period geometry and the topological string amplitudes on elliptically fibered Calabi-Yau fourfolds in toric ambient spaces. In particular, we describe a general procedure to fix integral periods. Using some elementary facts from homological mirror symmetry we then obtain Bridgelands involution and its monodromy action on the integral basis for non-singular elliptically fibered fourfolds. The full monodromy group contains a subgroup that acts as PSL(2,Z) on the K\\\"ahler modulus of the fiber and we analyze the consequences of this modularity for the genus zero and genus one amplit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.02820","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":"1709.02820","created_at":"2026-05-18T00:35:40.414408+00:00"},{"alias_kind":"arxiv_version","alias_value":"1709.02820v1","created_at":"2026-05-18T00:35:40.414408+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.02820","created_at":"2026-05-18T00:35:40.414408+00:00"},{"alias_kind":"pith_short_12","alias_value":"PKUTANFU2Z2W","created_at":"2026-05-18T12:31:37.085036+00:00"},{"alias_kind":"pith_short_16","alias_value":"PKUTANFU2Z2W3QOJ","created_at":"2026-05-18T12:31:37.085036+00:00"},{"alias_kind":"pith_short_8","alias_value":"PKUTANFU","created_at":"2026-05-18T12:31:37.085036+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2105.09326","citing_title":"F-theory flux vacua at large complex structure","ref_index":24,"is_internal_anchor":true},{"citing_arxiv_id":"2603.12315","citing_title":"Quantum obstructions for $N=1$ infinite distance limits -- Part I: $g_s$ obstructions","ref_index":56,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PKUTANFU2Z2W3QOJ2DMHILE4AG","json":"https://pith.science/pith/PKUTANFU2Z2W3QOJ2DMHILE4AG.json","graph_json":"https://pith.science/api/pith-number/PKUTANFU2Z2W3QOJ2DMHILE4AG/graph.json","events_json":"https://pith.science/api/pith-number/PKUTANFU2Z2W3QOJ2DMHILE4AG/events.json","paper":"https://pith.science/paper/PKUTANFU"},"agent_actions":{"view_html":"https://pith.science/pith/PKUTANFU2Z2W3QOJ2DMHILE4AG","download_json":"https://pith.science/pith/PKUTANFU2Z2W3QOJ2DMHILE4AG.json","view_paper":"https://pith.science/paper/PKUTANFU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1709.02820&json=true","fetch_graph":"https://pith.science/api/pith-number/PKUTANFU2Z2W3QOJ2DMHILE4AG/graph.json","fetch_events":"https://pith.science/api/pith-number/PKUTANFU2Z2W3QOJ2DMHILE4AG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PKUTANFU2Z2W3QOJ2DMHILE4AG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PKUTANFU2Z2W3QOJ2DMHILE4AG/action/storage_attestation","attest_author":"https://pith.science/pith/PKUTANFU2Z2W3QOJ2DMHILE4AG/action/author_attestation","sign_citation":"https://pith.science/pith/PKUTANFU2Z2W3QOJ2DMHILE4AG/action/citation_signature","submit_replication":"https://pith.science/pith/PKUTANFU2Z2W3QOJ2DMHILE4AG/action/replication_record"}},"created_at":"2026-05-18T00:35:40.414408+00:00","updated_at":"2026-05-18T00:35:40.414408+00:00"}