{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:QEWR76AAK5JZQSSWHNTXR3W4SH","short_pith_number":"pith:QEWR76AA","schema_version":"1.0","canonical_sha256":"812d1ff8005753984a563b6778eedc91c6cb2f81acbf677a391bcea10c9acc56","source":{"kind":"arxiv","id":"1512.04859","version":1},"attestation_state":"computed","paper":{"title":"On Mirror Symmetry for Calabi-Yau Fourfolds with Three-Form Cohomology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Sebastian Greiner, Thomas W. Grimm","submitted_at":"2015-12-15T17:07:34Z","abstract_excerpt":"We study the action of mirror symmetry on two-dimensional N=(2,2) effective theories obtained by compactifying Type IIA string theory on Calabi-Yau fourfolds. Our focus is on fourfold geometries with non-trivial three-form cohomology. The couplings of the massless zero-modes arising by expanding in these forms depend both on the complex structure deformations and the Kahler structure deformations of the Calabi-Yau fourfold. We argue that two holomorphic functions of the deformation moduli capture this information. These are exchanged under mirror symmetry, which allows us to derive them at the"},"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":"1512.04859","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-15T17:07:34Z","cross_cats_sorted":[],"title_canon_sha256":"6da997e29d517f2c0938ea4bfa9e4808ec83b27e3781b69c106bc35151f41aee","abstract_canon_sha256":"746e181ab1ae491468ee56f50417f36ac280a464c62f912dba92d60b3469fb9e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:41:55.442756Z","signature_b64":"fWcXvLaKT+zYDZ7vT+gDwhtOL52H+MW+lZYBnrO/dFMidEUBIjYaIU9lUFOP5sAMHPXMyk2oA+FKzP4u9Jx0BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"812d1ff8005753984a563b6778eedc91c6cb2f81acbf677a391bcea10c9acc56","last_reissued_at":"2026-07-05T03:41:55.442342Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:41:55.442342Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Mirror Symmetry for Calabi-Yau Fourfolds with Three-Form Cohomology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Sebastian Greiner, Thomas W. Grimm","submitted_at":"2015-12-15T17:07:34Z","abstract_excerpt":"We study the action of mirror symmetry on two-dimensional N=(2,2) effective theories obtained by compactifying Type IIA string theory on Calabi-Yau fourfolds. Our focus is on fourfold geometries with non-trivial three-form cohomology. The couplings of the massless zero-modes arising by expanding in these forms depend both on the complex structure deformations and the Kahler structure deformations of the Calabi-Yau fourfold. We argue that two holomorphic functions of the deformation moduli capture this information. These are exchanged under mirror symmetry, which allows us to derive them at the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.04859","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1512.04859/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1512.04859","created_at":"2026-07-05T03:41:55.442407+00:00"},{"alias_kind":"arxiv_version","alias_value":"1512.04859v1","created_at":"2026-07-05T03:41:55.442407+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.04859","created_at":"2026-07-05T03:41:55.442407+00:00"},{"alias_kind":"pith_short_12","alias_value":"QEWR76AAK5JZ","created_at":"2026-07-05T03:41:55.442407+00:00"},{"alias_kind":"pith_short_16","alias_value":"QEWR76AAK5JZQSSW","created_at":"2026-07-05T03:41:55.442407+00:00"},{"alias_kind":"pith_short_8","alias_value":"QEWR76AA","created_at":"2026-07-05T03:41:55.442407+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/QEWR76AAK5JZQSSWHNTXR3W4SH","json":"https://pith.science/pith/QEWR76AAK5JZQSSWHNTXR3W4SH.json","graph_json":"https://pith.science/api/pith-number/QEWR76AAK5JZQSSWHNTXR3W4SH/graph.json","events_json":"https://pith.science/api/pith-number/QEWR76AAK5JZQSSWHNTXR3W4SH/events.json","paper":"https://pith.science/paper/QEWR76AA"},"agent_actions":{"view_html":"https://pith.science/pith/QEWR76AAK5JZQSSWHNTXR3W4SH","download_json":"https://pith.science/pith/QEWR76AAK5JZQSSWHNTXR3W4SH.json","view_paper":"https://pith.science/paper/QEWR76AA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1512.04859&json=true","fetch_graph":"https://pith.science/api/pith-number/QEWR76AAK5JZQSSWHNTXR3W4SH/graph.json","fetch_events":"https://pith.science/api/pith-number/QEWR76AAK5JZQSSWHNTXR3W4SH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QEWR76AAK5JZQSSWHNTXR3W4SH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QEWR76AAK5JZQSSWHNTXR3W4SH/action/storage_attestation","attest_author":"https://pith.science/pith/QEWR76AAK5JZQSSWHNTXR3W4SH/action/author_attestation","sign_citation":"https://pith.science/pith/QEWR76AAK5JZQSSWHNTXR3W4SH/action/citation_signature","submit_replication":"https://pith.science/pith/QEWR76AAK5JZQSSWHNTXR3W4SH/action/replication_record"}},"created_at":"2026-07-05T03:41:55.442407+00:00","updated_at":"2026-07-05T03:41:55.442407+00:00"}