{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:NFBZURSNQKEUFHBGYH2X5I6XHX","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":"d48a2510e61bd3a917e4f002cdff47ee9e871e81e50ddd9949a4be7842d82119","cross_cats_sorted":["math.NT","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-09-13T10:17:49Z","title_canon_sha256":"246085c1298eab6a9b106f4b2e96b1f50b56c85e0a2a2acf89626c51f098500e"},"schema_version":"1.0","source":{"id":"1709.04235","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.04235","created_at":"2026-07-05T04:38:39Z"},{"alias_kind":"arxiv_version","alias_value":"1709.04235v3","created_at":"2026-07-05T04:38:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.04235","created_at":"2026-07-05T04:38:39Z"},{"alias_kind":"pith_short_12","alias_value":"NFBZURSNQKEU","created_at":"2026-07-05T04:38:39Z"},{"alias_kind":"pith_short_16","alias_value":"NFBZURSNQKEUFHBG","created_at":"2026-07-05T04:38:39Z"},{"alias_kind":"pith_short_8","alias_value":"NFBZURSN","created_at":"2026-07-05T04:38:39Z"}],"graph_snapshots":[{"event_id":"sha256:55c87dc3fae8180c52834dd3afce78188b3e78ff32867581a2e5571fba5a9b9b","target":"graph","created_at":"2026-07-05T04:38:39Z","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/1709.04235/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The purpose of the present paper is to develop the enumerative geometry of dormant $G$-opers for a semisimple algebraic group $G$. In the present paper, we construct a compact moduli stack admitting a perfect obstruction theory by introducing the notion of a dormant faithful twisted $G$-oper (or a \"$G$-do'per\", for short). The resulting virtual fundamental class induces a semisimple $2$d TQFT (= $2$-dimensional topological quantum field theory) counting the number of $G$-do'pers. This $2$d TQFT gives an analogue of the Witten-Kontsevich theorem describing the intersection numbers of psi classe","authors_text":"Yasuhiro Wakabayashi","cross_cats":["math.NT","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-09-13T10:17:49Z","title":"Topological quantum field theory for dormant opers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.04235","kind":"arxiv","version":3},"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":"sha256:8d90a0819e27162bb9209666559c35cc2cd884213f9116a346b3cda36b147c92","target":"record","created_at":"2026-07-05T04:38:39Z","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":"d48a2510e61bd3a917e4f002cdff47ee9e871e81e50ddd9949a4be7842d82119","cross_cats_sorted":["math.NT","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-09-13T10:17:49Z","title_canon_sha256":"246085c1298eab6a9b106f4b2e96b1f50b56c85e0a2a2acf89626c51f098500e"},"schema_version":"1.0","source":{"id":"1709.04235","kind":"arxiv","version":3}},"canonical_sha256":"69439a464d8289429c26c1f57ea3d73dfccf49da8f660fc64fd05b95f83eb9f3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"69439a464d8289429c26c1f57ea3d73dfccf49da8f660fc64fd05b95f83eb9f3","first_computed_at":"2026-07-05T04:38:39.553079Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:38:39.553079Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"avIkwW6K1TAMFpNo1CA6o5qMOXO/HxIN38iUhkocQDNnV3Jk+Hh5lle6sUidrWs1oP45EAAi8fLHUmB5LEjfCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T04:38:39.553540Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.04235","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8d90a0819e27162bb9209666559c35cc2cd884213f9116a346b3cda36b147c92","sha256:55c87dc3fae8180c52834dd3afce78188b3e78ff32867581a2e5571fba5a9b9b"],"state_sha256":"88f8dca4f4937a1a25700aea1e125a74b3654483ae0d942e7eb5cd04625a936e"}