{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:3BA5TUYIFIZUPG3Y64NXRUSCBZ","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":"5fd73ff0784a93646d5e7e65b368098b876276f3bd27c73be617761b9ade5949","cross_cats_sorted":["math-ph","math.AT","math.MP","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-05-25T22:14:47Z","title_canon_sha256":"67301f3863dc6ca23b2eb6a4205e486f5fdc1e3617e08060e9c70a7ef6027a3f"},"schema_version":"1.0","source":{"id":"1905.10685","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.10685","created_at":"2026-05-17T23:45:05Z"},{"alias_kind":"arxiv_version","alias_value":"1905.10685v1","created_at":"2026-05-17T23:45:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.10685","created_at":"2026-05-17T23:45:05Z"},{"alias_kind":"pith_short_12","alias_value":"3BA5TUYIFIZU","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"3BA5TUYIFIZUPG3Y","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"3BA5TUYI","created_at":"2026-05-18T12:33:07Z"}],"graph_snapshots":[{"event_id":"sha256:3491286e5d14757f0fecac958b2f820a98716c0f1262751c13de5bf3a7e306a3","target":"graph","created_at":"2026-05-17T23:45:05Z","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 establish curious Lefschetz property for generic character varieties of Riemann surfaces conjectured by Hausel, Letellier and Rodriguez-Villegas. Our main tool applies directly in the case when there is at least one puncture where the local monodromy has distinct eigenvalues. We pass to a vector bundle over the character variety, which is then decomposed into cells, which look like vector bundles over varieties associated to braids by Shende-Treumann-Zaslow. These varieties are in turn decomposed into cells that look like $(\\mathbb{C}^*)^{d-2k}\\times \\mathbb{C}^k$. The curious Lefschetz pro","authors_text":"Anton Mellit","cross_cats":["math-ph","math.AT","math.MP","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-05-25T22:14:47Z","title":"Cell decompositions of character varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.10685","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:cb7ec539b0ad670782108f3f8b6e3f674bfa43c898dc27ae9f69268582f6bf0d","target":"record","created_at":"2026-05-17T23:45:05Z","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":"5fd73ff0784a93646d5e7e65b368098b876276f3bd27c73be617761b9ade5949","cross_cats_sorted":["math-ph","math.AT","math.MP","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-05-25T22:14:47Z","title_canon_sha256":"67301f3863dc6ca23b2eb6a4205e486f5fdc1e3617e08060e9c70a7ef6027a3f"},"schema_version":"1.0","source":{"id":"1905.10685","kind":"arxiv","version":1}},"canonical_sha256":"d841d9d3082a33479b78f71b78d2420e7f7ecac816caf21f0fa9b701488fb09a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d841d9d3082a33479b78f71b78d2420e7f7ecac816caf21f0fa9b701488fb09a","first_computed_at":"2026-05-17T23:45:05.558460Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:45:05.558460Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6piu8zhWuxKaS7ivW4u9s49mnTVIgh+jfND3bP1Aa3s06LPsTPr5c4RKIG1K8wpRhSbDSXTaezKLP4RDaDaXDw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:45:05.559149Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.10685","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cb7ec539b0ad670782108f3f8b6e3f674bfa43c898dc27ae9f69268582f6bf0d","sha256:3491286e5d14757f0fecac958b2f820a98716c0f1262751c13de5bf3a7e306a3"],"state_sha256":"a1aa9209a3db70a9b8136c1d6fa672a4f93cfa8a7390459c48a2aca07e951f79"}