{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:C36BBAIR4Q3F62DKVWNYXDOP4G","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":"e4c925a31fdce16c69e5e3d1dea06d76bd8da7cb665b07e1d40b1df4644a7a1a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2024-10-13T18:42:16Z","title_canon_sha256":"a95f8a118d57ac0ded9254f8dcafe6ee41a02e91c6ee3aa2a21761e01fad81a5"},"schema_version":"1.0","source":{"id":"2410.09959","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.09959","created_at":"2026-05-28T02:04:39Z"},{"alias_kind":"arxiv_version","alias_value":"2410.09959v3","created_at":"2026-05-28T02:04:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.09959","created_at":"2026-05-28T02:04:39Z"},{"alias_kind":"pith_short_12","alias_value":"C36BBAIR4Q3F","created_at":"2026-05-28T02:04:39Z"},{"alias_kind":"pith_short_16","alias_value":"C36BBAIR4Q3F62DK","created_at":"2026-05-28T02:04:39Z"},{"alias_kind":"pith_short_8","alias_value":"C36BBAIR","created_at":"2026-05-28T02:04:39Z"}],"graph_snapshots":[{"event_id":"sha256:835e517f4b7afe339cd7585de04fdb732ad77ddf6c9734d65e0e6143630eb86d","target":"graph","created_at":"2026-05-28T02:04:39Z","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/2410.09959/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study generalized $V$-filtrations, defined by Sabbah, on $\\mathcal D$-modules underlying mixed Hodge modules on $X\\times \\mathbf A^r$. Using cyclic covers, we compare these filtrations to the usual $V$-filtration, which is better understood. The main result shows that these filtrations can be used to compute the restriction functors $\\sigma^!, \\sigma^*$, where $\\sigma \\colon X \\times \\{0\\} \\to X \\times \\mathbf A^r$ is the inclusion of the zero section.\n  As an application, we use the restriction result to study singularities of complete intersection subvarieties. These filtrations can be us","authors_text":"Bradley Dirks, Qianyu Chen, Sebastian Olano","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2024-10-13T18:42:16Z","title":"Restrictions of mixed Hodge modules using generalized V-filtrations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.09959","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":"sha256:6a85ed3ac5a20298c96bc489157c5789859f34b1099f50cdcfa200d0fe572a5d","target":"record","created_at":"2026-05-28T02:04:39Z","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":"e4c925a31fdce16c69e5e3d1dea06d76bd8da7cb665b07e1d40b1df4644a7a1a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2024-10-13T18:42:16Z","title_canon_sha256":"a95f8a118d57ac0ded9254f8dcafe6ee41a02e91c6ee3aa2a21761e01fad81a5"},"schema_version":"1.0","source":{"id":"2410.09959","kind":"arxiv","version":3}},"canonical_sha256":"16fc108111e4365f686aad9b8b8dcfe1b52de1118af3bdd9b816a7bcc1e4920a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"16fc108111e4365f686aad9b8b8dcfe1b52de1118af3bdd9b816a7bcc1e4920a","first_computed_at":"2026-05-28T02:04:39.283119Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-28T02:04:39.283119Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"e/AbhF/CQ17su9CvppeuM5P5JyyF6u9QvVtOOocKwXJOIP69+tmJWkTeQW1QjoIZcnVT4e3tj4+gVYHBW91eAQ==","signature_status":"signed_v1","signed_at":"2026-05-28T02:04:39.283634Z","signed_message":"canonical_sha256_bytes"},"source_id":"2410.09959","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6a85ed3ac5a20298c96bc489157c5789859f34b1099f50cdcfa200d0fe572a5d","sha256:835e517f4b7afe339cd7585de04fdb732ad77ddf6c9734d65e0e6143630eb86d"],"state_sha256":"05ca9ffc9325157919d92d69baaca64f328cc0f13589e39d7645d2ec1ec1d632"}