{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:U46IVAYAGKEO3UO6G6E2VDJREQ","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":"2abc13aae478ae6c5b11be0dd718a26869c2a623bc733670d4235d2f5446cda1","cross_cats_sorted":["math.AG"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.CV","submitted_at":"2023-09-21T16:07:01Z","title_canon_sha256":"b3b3eab6705ab63601755831b039ba4c51ef5d0f41af1be4c8a377ae19f4a3b6"},"schema_version":"1.0","source":{"id":"2309.12203","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2309.12203","created_at":"2026-07-05T06:53:00Z"},{"alias_kind":"arxiv_version","alias_value":"2309.12203v1","created_at":"2026-07-05T06:53:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.12203","created_at":"2026-07-05T06:53:00Z"},{"alias_kind":"pith_short_12","alias_value":"U46IVAYAGKEO","created_at":"2026-07-05T06:53:00Z"},{"alias_kind":"pith_short_16","alias_value":"U46IVAYAGKEO3UO6","created_at":"2026-07-05T06:53:00Z"},{"alias_kind":"pith_short_8","alias_value":"U46IVAYA","created_at":"2026-07-05T06:53:00Z"}],"graph_snapshots":[{"event_id":"sha256:1e36de95b721a8beeee1f857dae060d58b83d25aa1a23f37ed90c085d5962db5","target":"graph","created_at":"2026-07-05T06:53:00Z","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/2309.12203/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 investigate $G$-opers on pointed Riemann surfaces (for a simple algebraic group $G$ of adjoint type) and their monodromy maps. In the first part, we review some general facts on $G$-opers, or more generally, principal $G$-bundles with holomorphic connection having simple poles along marked points, including the correspondence with $G$-representations of the fundamental group. One of the main results, proved in the second part, asserts that the space of certain $G$-opers with real monodromy forms a discrete set. This fact generalizes the discreteness theor","authors_text":"Yasuhiro Wakabayashi","cross_cats":["math.AG"],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.CV","submitted_at":"2023-09-21T16:07:01Z","title":"Opers with real monodromy and Eichler-Shimura isomorphism"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.12203","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":"sha256:988ba758ec38735af27a4cf139de24834d4bc34623ba598da1533969978f790a","target":"record","created_at":"2026-07-05T06:53:00Z","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":"2abc13aae478ae6c5b11be0dd718a26869c2a623bc733670d4235d2f5446cda1","cross_cats_sorted":["math.AG"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.CV","submitted_at":"2023-09-21T16:07:01Z","title_canon_sha256":"b3b3eab6705ab63601755831b039ba4c51ef5d0f41af1be4c8a377ae19f4a3b6"},"schema_version":"1.0","source":{"id":"2309.12203","kind":"arxiv","version":1}},"canonical_sha256":"a73c8a83003288edd1de3789aa8d31242ba74ddff50c258572ee4c9f123abbe8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a73c8a83003288edd1de3789aa8d31242ba74ddff50c258572ee4c9f123abbe8","first_computed_at":"2026-07-05T06:53:00.059270Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:53:00.059270Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TB5PlJzrKxmb5QDSQCFVvLyDC8RiId1VhHYDmi39A3Vbpcf1HjaRTShHkFabxdYf56Lw/pJmI+1ftXZ6DE4uCw==","signature_status":"signed_v1","signed_at":"2026-07-05T06:53:00.059739Z","signed_message":"canonical_sha256_bytes"},"source_id":"2309.12203","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:988ba758ec38735af27a4cf139de24834d4bc34623ba598da1533969978f790a","sha256:1e36de95b721a8beeee1f857dae060d58b83d25aa1a23f37ed90c085d5962db5"],"state_sha256":"da676558988ec41066a334a0b0e8fb1e8b8290ac9799fe36ebe30560a41e20fb"}