{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:P4BGL77TFKVP7OJPNZHSKOVJER","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":"679ed860bfbad16221f111b9934471a286f7c7af3d7ea7943322e3b825612ad0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-05-08T15:34:25Z","title_canon_sha256":"5f50ff9bf98173591d9340222ab5906bbebf79512f4f1f5b67760ca9038f99c6"},"schema_version":"1.0","source":{"id":"0905.1285","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0905.1285","created_at":"2026-05-18T01:03:33Z"},{"alias_kind":"arxiv_version","alias_value":"0905.1285v2","created_at":"2026-05-18T01:03:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.1285","created_at":"2026-05-18T01:03:33Z"},{"alias_kind":"pith_short_12","alias_value":"P4BGL77TFKVP","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"P4BGL77TFKVP7OJP","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"P4BGL77T","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:d8c8df1a7d2e9d8a3ff7c4b5534c7338edc186eba8a325b98a2bf109c4b27a97","target":"graph","created_at":"2026-05-18T01:03:33Z","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"},"paper":{"abstract_excerpt":"In this paper, we discuss elliptic genera of (2,2) and (0,2) supersymmetric Landau-Ginzburg models over nontrivial spaces, i.e., nonlinear sigma models on nontrivial noncompact manifolds with superpotential, generalizing old computations in Landau-Ginzburg models over (orbifolds of) vector spaces. For Landau-Ginzburg models in the same universality class as nonlinear sigma models, we explicitly check that the elliptic genera of the Landau-Ginzburg models match that of the nonlinear sigma models, via a Thom class computation of a form analogous to that appearing in recent studies of other prope","authors_text":"E. Sharpe, M. Ando","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-05-08T15:34:25Z","title":"Elliptic genera of Landau-Ginzburg models over nontrivial spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.1285","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:cec083f940735d19850a81efc7deb04a6f10b549c825f5c9e1974c3526be6cda","target":"record","created_at":"2026-05-18T01:03:33Z","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":"679ed860bfbad16221f111b9934471a286f7c7af3d7ea7943322e3b825612ad0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-05-08T15:34:25Z","title_canon_sha256":"5f50ff9bf98173591d9340222ab5906bbebf79512f4f1f5b67760ca9038f99c6"},"schema_version":"1.0","source":{"id":"0905.1285","kind":"arxiv","version":2}},"canonical_sha256":"7f0265fff32aaaffb92f6e4f253aa9246083dbf8f6086b0cca969f08b874ec34","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7f0265fff32aaaffb92f6e4f253aa9246083dbf8f6086b0cca969f08b874ec34","first_computed_at":"2026-05-18T01:03:33.132653Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:03:33.132653Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nHjmqRXHT74mHaJc7n4ynEdPohLfmGjei47HuiTJHwyklJIsOBLheT217aDA5jHNos55AKJfE3dT5FyOt4LOAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:03:33.133451Z","signed_message":"canonical_sha256_bytes"},"source_id":"0905.1285","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cec083f940735d19850a81efc7deb04a6f10b549c825f5c9e1974c3526be6cda","sha256:d8c8df1a7d2e9d8a3ff7c4b5534c7338edc186eba8a325b98a2bf109c4b27a97"],"state_sha256":"8446de154b42b1f05efbd97808dadae599d836e5823b24ec1266c70276dfd3e0"}