{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:3JIEIGNPZOGLW3RKBRSCIZIH4T","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":"5738eaa0c636194f652afce60026b966d61b0105a7a7e98a63af9c93198935b2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-05-21T18:00:02Z","title_canon_sha256":"d6374f91bba6ea2fd744d7bdc95c6eca01c1c4902154f1317b2145b5c947a0f6"},"schema_version":"1.0","source":{"id":"2005.10837","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2005.10837","created_at":"2026-07-05T03:55:45Z"},{"alias_kind":"arxiv_version","alias_value":"2005.10837v2","created_at":"2026-07-05T03:55:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2005.10837","created_at":"2026-07-05T03:55:45Z"},{"alias_kind":"pith_short_12","alias_value":"3JIEIGNPZOGL","created_at":"2026-07-05T03:55:45Z"},{"alias_kind":"pith_short_16","alias_value":"3JIEIGNPZOGLW3RK","created_at":"2026-07-05T03:55:45Z"},{"alias_kind":"pith_short_8","alias_value":"3JIEIGNP","created_at":"2026-07-05T03:55:45Z"}],"graph_snapshots":[{"event_id":"sha256:62f674bfddec6854208b5449d0a6765632c6e55479b3780ad67e83452c8b4aa5","target":"graph","created_at":"2026-07-05T03:55:45Z","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/2005.10837/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the interplay between the enumerative geometry of Calabi-Yau fourfolds with fluxes and the modularity of elliptic genera in four-dimensional string theories. We argue that certain contributions to the elliptic genus are given by derivatives of modular or quasi-modular forms, which encode BPS invariants of Calabi-Yau or non-Calabi-Yau threefolds that are embedded in the given fourfold. As a result, the elliptic genus is only a quasi-Jacobi form, rather than a modular or quasi-modular one in the usual sense. This manifests itself as a holomorphic anomaly of the spectral flow symme","authors_text":"Guglielmo Lockhart, Seung-Joo Lee, Timo Weigand, Wolfgang Lerche","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-05-21T18:00:02Z","title":"Quasi-Jacobi Forms, Elliptic Genera and Strings in Four Dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2005.10837","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":"sha256:4e3aacd8cf9824d4ef957bdb396eaae1c212f7f8b2c4930a5b752e07b328547b","target":"record","created_at":"2026-07-05T03:55:45Z","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":"5738eaa0c636194f652afce60026b966d61b0105a7a7e98a63af9c93198935b2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-05-21T18:00:02Z","title_canon_sha256":"d6374f91bba6ea2fd744d7bdc95c6eca01c1c4902154f1317b2145b5c947a0f6"},"schema_version":"1.0","source":{"id":"2005.10837","kind":"arxiv","version":2}},"canonical_sha256":"da504419afcb8cbb6e2a0c64246507e4dff911903a97c7cb5c452addbbd00d6e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"da504419afcb8cbb6e2a0c64246507e4dff911903a97c7cb5c452addbbd00d6e","first_computed_at":"2026-07-05T03:55:45.835570Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:55:45.835570Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KWP64TmnTryvd4ODEdhztnHisBEM1M+ptbLQr4dqgAhMgmgbLpurMWXCGMutZ2svMUesFvSK/Yuaf1T2OFJgDw==","signature_status":"signed_v1","signed_at":"2026-07-05T03:55:45.836016Z","signed_message":"canonical_sha256_bytes"},"source_id":"2005.10837","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4e3aacd8cf9824d4ef957bdb396eaae1c212f7f8b2c4930a5b752e07b328547b","sha256:62f674bfddec6854208b5449d0a6765632c6e55479b3780ad67e83452c8b4aa5"],"state_sha256":"e9458d3aaec9b73394c923bc05c97377e236340466073deb2f6c8e8f7caee50c"}