{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:2UI3D53MYYKQEVGZLI6XJNDZ7R","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":"b55f4da0316b34370ede1af6ef13779d12d6a131b277422b7ba9582313e5ee06","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-04-28T01:18:12Z","title_canon_sha256":"6d148d3aa04b420ed2afcde176b4f02cd25c7f60ca27a817082be7a61bce3bc7"},"schema_version":"1.0","source":{"id":"1004.4938","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.4938","created_at":"2026-05-18T04:13:05Z"},{"alias_kind":"arxiv_version","alias_value":"1004.4938v2","created_at":"2026-05-18T04:13:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.4938","created_at":"2026-05-18T04:13:05Z"},{"alias_kind":"pith_short_12","alias_value":"2UI3D53MYYKQ","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"2UI3D53MYYKQEVGZ","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"2UI3D53M","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:a3cf7058de01dd7a2ddf47d982664297b38c7cf8493eb7306aa75bb4eb5a7d19","target":"graph","created_at":"2026-05-18T04:13:05Z","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":"Using Koll\\'ar's semipositivity results, we produce a number of nef and ample tautological divisors on Hassett's spaces of weighted stable pointed curves. As an application, we prove that Hassett's spaces are log canonical models of Deligne-Mumford spaces of stable pointed curves.","authors_text":"Maksym Fedorchuk","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-04-28T01:18:12Z","title":"Moduli spaces of weighted stable curves and log canonical models of $\\bar{M}_{g,n}$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.4938","kind":"arxiv","version":2},"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":"sha256:9b9830169e39ccf4c0b7527905dd791295a6cc9e76f497edde7eb1f974dc132c","target":"record","created_at":"2026-05-18T04:13:05Z","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":"b55f4da0316b34370ede1af6ef13779d12d6a131b277422b7ba9582313e5ee06","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-04-28T01:18:12Z","title_canon_sha256":"6d148d3aa04b420ed2afcde176b4f02cd25c7f60ca27a817082be7a61bce3bc7"},"schema_version":"1.0","source":{"id":"1004.4938","kind":"arxiv","version":2}},"canonical_sha256":"d511b1f76cc6150254d95a3d74b479fc5a1ee7fe82f91b564fd63838b8f560ae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d511b1f76cc6150254d95a3d74b479fc5a1ee7fe82f91b564fd63838b8f560ae","first_computed_at":"2026-05-18T04:13:05.809185Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:13:05.809185Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mivuDFxPK0EeAka5P8PX/uMjCLr4OCct5V8FSizg6GtiC/aIgRq0+vpdF5BL2rBgh60+7hG57iQ6U7PsBjQcCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:13:05.809557Z","signed_message":"canonical_sha256_bytes"},"source_id":"1004.4938","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9b9830169e39ccf4c0b7527905dd791295a6cc9e76f497edde7eb1f974dc132c","sha256:a3cf7058de01dd7a2ddf47d982664297b38c7cf8493eb7306aa75bb4eb5a7d19"],"state_sha256":"0b126ffdc08dd3b0a247347a0979e74f8fb089b81707f3eaca9127b65af1225d"}