{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:ISQ5CML7JV5FN3BG65RZFIDGNN","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":"0235e90bae066945e084b63340f87409ba59a020717f4d65301bb9a37a230509","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-06-10T16:21:50Z","title_canon_sha256":"7461d731b5e5ae21f922054e0093455403a9597a327539759ab0a168ae299796"},"schema_version":"1.0","source":{"id":"1906.04100","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.04100","created_at":"2026-05-17T23:43:43Z"},{"alias_kind":"arxiv_version","alias_value":"1906.04100v1","created_at":"2026-05-17T23:43:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.04100","created_at":"2026-05-17T23:43:43Z"},{"alias_kind":"pith_short_12","alias_value":"ISQ5CML7JV5F","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"ISQ5CML7JV5FN3BG","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"ISQ5CML7","created_at":"2026-05-18T12:33:18Z"}],"graph_snapshots":[{"event_id":"sha256:9646d091d0ff518b7dee8d6f5fae8397aa5cfd9a35f0c66021eda12b2069b1f7","target":"graph","created_at":"2026-05-17T23:43:43Z","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":"We give a new proof of the computation of Hodge integrals we have previously obtained for the quantum singularity (FJRW) theory of chain polynomials. It uses the classical localization formula of Atiyah--Bott and we phrase our proof in a general framework that is suitable for future studies of gauged linear sigma models (GLSM). As a by-product, we obtain the first equivariant version of mirror symmetry without concavity, generalizing the work of Chiodo--Iritani--Ruan on the Landau--Ginzburg side.","authors_text":"J\\'er\\'emy Gu\\'er\\'e","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-06-10T16:21:50Z","title":"Equivariant Landau--Ginzburg mirror symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.04100","kind":"arxiv","version":1},"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:b7747943c6573e207aad8e2a85fee438e92fb35be884826c6355830038c9ba3b","target":"record","created_at":"2026-05-17T23:43:43Z","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":"0235e90bae066945e084b63340f87409ba59a020717f4d65301bb9a37a230509","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-06-10T16:21:50Z","title_canon_sha256":"7461d731b5e5ae21f922054e0093455403a9597a327539759ab0a168ae299796"},"schema_version":"1.0","source":{"id":"1906.04100","kind":"arxiv","version":1}},"canonical_sha256":"44a1d1317f4d7a56ec26f76392a0666b5587fa97225e9b3e6ee8b6ba15f5859e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"44a1d1317f4d7a56ec26f76392a0666b5587fa97225e9b3e6ee8b6ba15f5859e","first_computed_at":"2026-05-17T23:43:43.889795Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:43:43.889795Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FEah65Us8aD3tkrrTEdE4ibpz8bqliPbTnxPCX+WqFuYud6vfKChBkJHg8QKpKNPC/16GG44CxRj3Rpi+ytsCg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:43:43.890513Z","signed_message":"canonical_sha256_bytes"},"source_id":"1906.04100","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b7747943c6573e207aad8e2a85fee438e92fb35be884826c6355830038c9ba3b","sha256:9646d091d0ff518b7dee8d6f5fae8397aa5cfd9a35f0c66021eda12b2069b1f7"],"state_sha256":"5569d159ef0c73c97250a0e4381de355f868d93d8e2d0956435814b84046ec3a"}