{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:NRGNZPVNL4L35WKCD3C5OGJUFI","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":"21521730ee0ff7b9bc6ae297bc219a83ea4a1d5857eb15e5f11ade09c3dc5b38","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-12-28T10:47:14Z","title_canon_sha256":"a3829280769105fd19a8fd76df78cd725ed79263b6dfadb2b8fc66d78136ea7b"},"schema_version":"1.0","source":{"id":"1112.6095","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.6095","created_at":"2026-05-18T04:05:36Z"},{"alias_kind":"arxiv_version","alias_value":"1112.6095v1","created_at":"2026-05-18T04:05:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.6095","created_at":"2026-05-18T04:05:36Z"},{"alias_kind":"pith_short_12","alias_value":"NRGNZPVNL4L3","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"NRGNZPVNL4L35WKC","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"NRGNZPVN","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:d26183997ae5e4dade11f9bdb1f81baaf6a9d490c1139b99f5b6f869c95a6d03","target":"graph","created_at":"2026-05-18T04:05:36Z","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":"The paper aims to give an account, both historical and geometric, on the diverse geography of rational parametrizations of moduli spaces related to curves. It is a contribution to the book Handbook of Moduli, editors G. Farkas and I. Morrison, to be published by International Press. Refereed version.","authors_text":"Alessandro Verra","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-12-28T10:47:14Z","title":"Rational parametrizations of moduli spaces of curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.6095","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":"sha256:9ddea36468f1abbd40eb428324c548d37bdc6d6fccf5adf5aa999dbe71d9399b","target":"record","created_at":"2026-05-18T04:05:36Z","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":"21521730ee0ff7b9bc6ae297bc219a83ea4a1d5857eb15e5f11ade09c3dc5b38","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-12-28T10:47:14Z","title_canon_sha256":"a3829280769105fd19a8fd76df78cd725ed79263b6dfadb2b8fc66d78136ea7b"},"schema_version":"1.0","source":{"id":"1112.6095","kind":"arxiv","version":1}},"canonical_sha256":"6c4cdcbead5f17bed9421ec5d719342a01fa176f8c259d37242daaa45f021ef1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6c4cdcbead5f17bed9421ec5d719342a01fa176f8c259d37242daaa45f021ef1","first_computed_at":"2026-05-18T04:05:36.827855Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:05:36.827855Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"w/9BS8c8D5+TSbZEHjlKJeJLO8Zv5T7u3HeHA5Ue7SELsxzRSxYoKOl8BF1Es/ckdmL6vyi1ImV7viS3Tl4XAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:05:36.828497Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.6095","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9ddea36468f1abbd40eb428324c548d37bdc6d6fccf5adf5aa999dbe71d9399b","sha256:d26183997ae5e4dade11f9bdb1f81baaf6a9d490c1139b99f5b6f869c95a6d03"],"state_sha256":"099413e8d33465e86232807ea43ed40b9f7af59580bef50f5eec2b0d58ff027c"}