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K","work_id":"c851d996-4ef5-40a3-9b7b-78ccd73189e9","year":null}],"snapshot_sha256":"12dfe3fa2015adcee3a611e0affa99388c9171e063f0a548724f3f030a9a7fa6"},"source":{"id":"2605.18426","kind":"arxiv","version":1},"verdict":{"created_at":"2026-05-19T23:48:21.469219Z","id":"4f249df7-c500-4b14-b5f9-780c4f197111","model_set":{"reader":"grok-4.3"},"one_line_summary":"Proves classicality for Hecke characters in completed cohomology of Hilbert modular varieties under absolute irreducibility and regular parallel weight conditions on Galois representations, giving new cases of the LCFM conjecture.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"A character of the spherical Hecke algebra in the completed cohomology of Hilbert modular varieties is modular if the associated Galois representation is absolutely irreducible and de Rham of regular parallel weights.","strongest_claim":"A character of the spherical Hecke algebra appearing in the completed cohomology of Hilbert modular 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