{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:VJ2PNXFCXBU5UXALAPIQDSB7PE","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":"f332625d9a68e81d181e2d33136973601e345aa60f30ccc0a0c9cc59a4ae2ff8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2024-05-28T15:18:27Z","title_canon_sha256":"8eb5b57b224f0b723802edee0a2dc03d31a53d3694c651aee53b2ad39155c4cd"},"schema_version":"1.0","source":{"id":"2405.18268","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.18268","created_at":"2026-07-05T08:49:34Z"},{"alias_kind":"arxiv_version","alias_value":"2405.18268v2","created_at":"2026-07-05T08:49:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.18268","created_at":"2026-07-05T08:49:34Z"},{"alias_kind":"pith_short_12","alias_value":"VJ2PNXFCXBU5","created_at":"2026-07-05T08:49:34Z"},{"alias_kind":"pith_short_16","alias_value":"VJ2PNXFCXBU5UXAL","created_at":"2026-07-05T08:49:34Z"},{"alias_kind":"pith_short_8","alias_value":"VJ2PNXFC","created_at":"2026-07-05T08:49:34Z"}],"graph_snapshots":[{"event_id":"sha256:e9ff50e539896c1f963b15028410a679828810e148a44728538bc6213b4d8e06","target":"graph","created_at":"2026-07-05T08:49:34Z","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/2405.18268/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"For a reductive group $G$, we prove that complex irreducible rigid $G$-local systems with quasi-unipotent monodromies and finite order abelianization on a smooth curve are motivic, generalizing a theorem of Katz for $GL_n$. We do so by showing that the Hecke eigensheaf corresponding to such a local system is itself motivic. Unlike other works in the subject, we work entirely over the complex numbers. In the setting of de Rham geometric Langlands, we prove the existence of Hecke eigensheaves associated to any irreducible $G$-local system with regular singularities. We also provide a spectral de","authors_text":"Joakim F{\\ae}rgeman","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2024-05-28T15:18:27Z","title":"Motivic realization of rigid G-local systems on curves and tamely ramified geometric Langlands"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.18268","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:eace72570f5fffd36a409b42f5e7cbc2d7a61423ad53b822d1fe9014a0ac6d8f","target":"record","created_at":"2026-07-05T08:49:34Z","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":"f332625d9a68e81d181e2d33136973601e345aa60f30ccc0a0c9cc59a4ae2ff8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2024-05-28T15:18:27Z","title_canon_sha256":"8eb5b57b224f0b723802edee0a2dc03d31a53d3694c651aee53b2ad39155c4cd"},"schema_version":"1.0","source":{"id":"2405.18268","kind":"arxiv","version":2}},"canonical_sha256":"aa74f6dca2b869da5c0b03d101c83f793f77f081578acaab7de3afdc6f0b5db1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aa74f6dca2b869da5c0b03d101c83f793f77f081578acaab7de3afdc6f0b5db1","first_computed_at":"2026-07-05T08:49:34.918451Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:49:34.918451Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6d/b6yLVFlvheBMF4L8/SKvo6GpE5lDtapfLejwDDMrxb2Hvos60mqnEdwGCispTuhLLfwEoGYXBru0pGbUWAg==","signature_status":"signed_v1","signed_at":"2026-07-05T08:49:34.918923Z","signed_message":"canonical_sha256_bytes"},"source_id":"2405.18268","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eace72570f5fffd36a409b42f5e7cbc2d7a61423ad53b822d1fe9014a0ac6d8f","sha256:e9ff50e539896c1f963b15028410a679828810e148a44728538bc6213b4d8e06"],"state_sha256":"3fbe7bf0cfdbd8f47da1b13670a80df8922f3731edc48364dc7302b06c3c3778"}