{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:YOCOVF3G7PKQDQELPEUYWHCO5A","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":"4be810f6b5425f2413ae3fe368323777bf6c40123b9a913f29f1b149d7ba8e10","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-05-26T08:56:37Z","title_canon_sha256":"4ad10a3a6ef45d654e0f0af90ae39c75bb4bd0aed0d258c9bcec8589d35f32a2"},"schema_version":"1.0","source":{"id":"1005.4761","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1005.4761","created_at":"2026-05-18T00:16:57Z"},{"alias_kind":"arxiv_version","alias_value":"1005.4761v4","created_at":"2026-05-18T00:16:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.4761","created_at":"2026-05-18T00:16:57Z"},{"alias_kind":"pith_short_12","alias_value":"YOCOVF3G7PKQ","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"YOCOVF3G7PKQDQEL","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"YOCOVF3G","created_at":"2026-05-18T12:26:17Z"}],"graph_snapshots":[{"event_id":"sha256:347870ed8f6942a5954445f6aabdf63898ae564c980df5ecc919075dd31dfd38","target":"graph","created_at":"2026-05-18T00:16:57Z","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 prove that the irreducible components of the characteristic varieties of quasi-projective manifolds are either pull-backs of such components for orbifolds, or torsion points. This gives an interpretation for the so-called \\emph{translated} components of the characteristic varieties, and shows that the zero-dimensional components are indeed torsion. The main result is used to derive further obstructions for a group to be the fundamental group of a quasi-projective manifold.","authors_text":"Daniel Matei, Enrique Artal Bartolo, Jose Ignacio Cogolludo-Agustin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-05-26T08:56:37Z","title":"Characteristic varieties of quasi-projective manifolds and orbifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.4761","kind":"arxiv","version":4},"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:fe4e695223e36928851f500c266d8a753a916c220a9653bf5986bd1cd9f27a37","target":"record","created_at":"2026-05-18T00:16:57Z","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":"4be810f6b5425f2413ae3fe368323777bf6c40123b9a913f29f1b149d7ba8e10","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-05-26T08:56:37Z","title_canon_sha256":"4ad10a3a6ef45d654e0f0af90ae39c75bb4bd0aed0d258c9bcec8589d35f32a2"},"schema_version":"1.0","source":{"id":"1005.4761","kind":"arxiv","version":4}},"canonical_sha256":"c384ea9766fbd501c08b79298b1c4ee827f7c2b1a2f4e44eb8b39605828d589b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c384ea9766fbd501c08b79298b1c4ee827f7c2b1a2f4e44eb8b39605828d589b","first_computed_at":"2026-05-18T00:16:57.174880Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:16:57.174880Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ptsJHFpPEwLNObNJ4H2HLxv8DW6eRRbU1Mp309E++4ZDNgJH/zMc+3RawOCBWYIFCqtTSWd6Lw7JIrAIZsYSCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:16:57.175619Z","signed_message":"canonical_sha256_bytes"},"source_id":"1005.4761","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe4e695223e36928851f500c266d8a753a916c220a9653bf5986bd1cd9f27a37","sha256:347870ed8f6942a5954445f6aabdf63898ae564c980df5ecc919075dd31dfd38"],"state_sha256":"db8661ce4e638431c8ef24fc7b330ece112b34bb196c9b793b3ebaff5d883e0a"}