{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:KTHOL52UWTKDPMD5FCVQLANAXP","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":"c9d5c39c8d3d99298ca98b50cf5ccb70e49e84bc49d670de5564a7553010011f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-01-30T18:17:24Z","title_canon_sha256":"ef55aa8d8f0d62faa81ef9f3212cd0af53e8a72d8dbafcbb89c408a6c1682591"},"schema_version":"1.0","source":{"id":"1201.6310","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.6310","created_at":"2026-05-18T02:29:32Z"},{"alias_kind":"arxiv_version","alias_value":"1201.6310v3","created_at":"2026-05-18T02:29:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.6310","created_at":"2026-05-18T02:29:32Z"},{"alias_kind":"pith_short_12","alias_value":"KTHOL52UWTKD","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"KTHOL52UWTKDPMD5","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"KTHOL52U","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:1b5359cc80ec30397f0635b4d7eb432ed7686aba088148ce1123868dc66cac97","target":"graph","created_at":"2026-05-18T02:29:32Z","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 a Curve Selection Lemma valid in infinite-dimensional algebraic geometry and apply it, together with a structure theorem of Grinberg-Kahzdan and Drinfeld, to obtain a Curve Selection Lemma in arc spaces.","authors_text":"Javier Fernandez de Bobadilla, Maria Pe Pereira","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-01-30T18:17:24Z","title":"Curve selection lemma in infinite dimensional algebraic geometry and arc spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.6310","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:ade856bd4426f9e1bda10cd7e04d8ce951486b31519c96efe385481274cacd36","target":"record","created_at":"2026-05-18T02:29:32Z","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":"c9d5c39c8d3d99298ca98b50cf5ccb70e49e84bc49d670de5564a7553010011f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-01-30T18:17:24Z","title_canon_sha256":"ef55aa8d8f0d62faa81ef9f3212cd0af53e8a72d8dbafcbb89c408a6c1682591"},"schema_version":"1.0","source":{"id":"1201.6310","kind":"arxiv","version":3}},"canonical_sha256":"54cee5f754b4d437b07d28ab0581a0bbc1634d3b9cc4095de1364d68f2637792","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"54cee5f754b4d437b07d28ab0581a0bbc1634d3b9cc4095de1364d68f2637792","first_computed_at":"2026-05-18T02:29:32.649247Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:29:32.649247Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"p+SBgCQvZbKD/HcKpFyF9cHpPDn4+wZ8+1HcIJ0ynzlsozOCHPyad9ugP6HYcBrpWsr+9DwuWRZzuhcx+03BDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:29:32.649666Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.6310","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ade856bd4426f9e1bda10cd7e04d8ce951486b31519c96efe385481274cacd36","sha256:1b5359cc80ec30397f0635b4d7eb432ed7686aba088148ce1123868dc66cac97"],"state_sha256":"b061884b92bc886b4b86b69f043b7b24f81755a291d305e181f78d4320b9c078"}