{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:DZ6SICSVMK7DFDWURHX5QJ32OB","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":"d625ffadb488ad2216597656217427e2fcaacdf5cb3001b8113b26ceac467bef","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2009-09-09T21:39:04Z","title_canon_sha256":"34463502d402b21f6a44e7800d634c4cb2180011a8f517994aeaf9ee1cc50120"},"schema_version":"1.0","source":{"id":"0909.1835","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0909.1835","created_at":"2026-05-18T03:29:48Z"},{"alias_kind":"arxiv_version","alias_value":"0909.1835v3","created_at":"2026-05-18T03:29:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0909.1835","created_at":"2026-05-18T03:29:48Z"},{"alias_kind":"pith_short_12","alias_value":"DZ6SICSVMK7D","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"DZ6SICSVMK7DFDWU","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"DZ6SICSV","created_at":"2026-05-18T12:25:59Z"}],"graph_snapshots":[{"event_id":"sha256:383c5a6a27cfd7dd1d7d38086c517d8cd7d9d8bf4cbd02c050f5316dde24f8d2","target":"graph","created_at":"2026-05-18T03:29:48Z","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":"In this paper we investigate the relation between the finite generation of the Cox ring R(X) of a smooth projective surface X and its anticanonical Iitaka dimension k(-K_X).","authors_text":"Antonio Laface, Michela Artebani","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2009-09-09T21:39:04Z","title":"Cox rings of surfaces and the anticanonical Iitaka dimension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0909.1835","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":"sha256:74a48a2bf78966c43495ab25b34a3caa0424f35269a17242ba6771a6611b2149","target":"record","created_at":"2026-05-18T03:29:48Z","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":"d625ffadb488ad2216597656217427e2fcaacdf5cb3001b8113b26ceac467bef","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2009-09-09T21:39:04Z","title_canon_sha256":"34463502d402b21f6a44e7800d634c4cb2180011a8f517994aeaf9ee1cc50120"},"schema_version":"1.0","source":{"id":"0909.1835","kind":"arxiv","version":3}},"canonical_sha256":"1e7d240a5562be328ed489efd8277a707465d6939c0a2ca5a99df741a690bca6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1e7d240a5562be328ed489efd8277a707465d6939c0a2ca5a99df741a690bca6","first_computed_at":"2026-05-18T03:29:48.789267Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:29:48.789267Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AGxxWQ1tMoo7yLwHph07vSrj+xYuHd4whgXojpxKNH1O+i3q+pRrPmWR5tPDUwSifwyX+82JX30Lo7jtky5aCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:29:48.789801Z","signed_message":"canonical_sha256_bytes"},"source_id":"0909.1835","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:74a48a2bf78966c43495ab25b34a3caa0424f35269a17242ba6771a6611b2149","sha256:383c5a6a27cfd7dd1d7d38086c517d8cd7d9d8bf4cbd02c050f5316dde24f8d2"],"state_sha256":"3dc4b3c86ac3e833125ab47fdcd195810c185a393b404cdb1bf27b105f04ba85"}