{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:SY4UIALPDSSEHEI5DAOD7TVXQS","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":"83407beeec987e778d3708d3a0aa6d4fad15a47b645258e760db294ca5ba8a01","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-04-12T16:33:01Z","title_canon_sha256":"1d5a96b8abe145ae1b0d15b8e7a1bf589693a157855dfacb05cfc4bdffd56435"},"schema_version":"1.0","source":{"id":"1104.2263","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.2263","created_at":"2026-05-18T04:24:35Z"},{"alias_kind":"arxiv_version","alias_value":"1104.2263v1","created_at":"2026-05-18T04:24:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.2263","created_at":"2026-05-18T04:24:35Z"},{"alias_kind":"pith_short_12","alias_value":"SY4UIALPDSSE","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"SY4UIALPDSSEHEI5","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"SY4UIALP","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:8bff636cc94e15a72f0dad5bea053c38b95329924a41124a144cbfc0536d3eb4","target":"graph","created_at":"2026-05-18T04:24:35Z","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 Picard group of a regular simply connected variety over an algebraically closed field of arbitrary characteristic is finitely generated. The main difficulty to overcome is the unavailability of resolution of singularities. From this we deduce that in positive characteristic there exist no nontrivial stratified line bundles on such a variety, and we present a complex analog.","authors_text":"Lars Kindler","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-04-12T16:33:01Z","title":"The Picard Group of Simply Connected Regular Varieties and Stratified Line Bundles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.2263","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":"sha256:99167eeff2e642d9d7651a8c4eae29fbe9f981ad39af2f2637a281cd8163a718","target":"record","created_at":"2026-05-18T04:24:35Z","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":"83407beeec987e778d3708d3a0aa6d4fad15a47b645258e760db294ca5ba8a01","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-04-12T16:33:01Z","title_canon_sha256":"1d5a96b8abe145ae1b0d15b8e7a1bf589693a157855dfacb05cfc4bdffd56435"},"schema_version":"1.0","source":{"id":"1104.2263","kind":"arxiv","version":1}},"canonical_sha256":"963944016f1ca443911d181c3fceb7849ce388859c63f213ad48a82577cd6a34","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"963944016f1ca443911d181c3fceb7849ce388859c63f213ad48a82577cd6a34","first_computed_at":"2026-05-18T04:24:35.663639Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:24:35.663639Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BRnADHEtL/vL5bcvDNDB05m6FrdtnhHvkcnLBSt1WWmAMO9i45BNn8dk2Ncexg7POwvxJVCxIoQNdiT9+qtlDg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:24:35.664172Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.2263","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:99167eeff2e642d9d7651a8c4eae29fbe9f981ad39af2f2637a281cd8163a718","sha256:8bff636cc94e15a72f0dad5bea053c38b95329924a41124a144cbfc0536d3eb4"],"state_sha256":"980de71f357b5d3c46c8244e46256a44a251c5a5d3d7da5e9eafeb33deada5e4"}