{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:IJ776MI5L4KKL3LEKCZFRYQ37Y","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":"f96c9050f694119419f73c7df2aed3008fbbd311908e1f9190ceb329d8cd83f5","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2025-05-06T21:30:36Z","title_canon_sha256":"d54fceb6a5a384acdb6ce76b595665c2f81441e2078b864807e5191d87784706"},"schema_version":"1.0","source":{"id":"2505.03986","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.03986","created_at":"2026-07-05T10:59:34Z"},{"alias_kind":"arxiv_version","alias_value":"2505.03986v1","created_at":"2026-07-05T10:59:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.03986","created_at":"2026-07-05T10:59:34Z"},{"alias_kind":"pith_short_12","alias_value":"IJ776MI5L4KK","created_at":"2026-07-05T10:59:34Z"},{"alias_kind":"pith_short_16","alias_value":"IJ776MI5L4KKL3LE","created_at":"2026-07-05T10:59:34Z"},{"alias_kind":"pith_short_8","alias_value":"IJ776MI5","created_at":"2026-07-05T10:59:34Z"}],"graph_snapshots":[{"event_id":"sha256:17258a61e9f922e3de07567950c0dee850e4d6a6262e721f3e51cd27a78f2be9","target":"graph","created_at":"2026-07-05T10:59:34Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2505.03986/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study linearizability of actions of finite groups on cubic threefolds with non-isolated singularities.","authors_text":"Ivan Cheltsov, Lisa Marquand, Yuri Tschinkel, Zhijia Zhang","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2025-05-06T21:30:36Z","title":"Equivariant geometry of cubic threefolds with non-isolated singularities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.03986","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:ee00786fd75052940365634e39894eaa797fe060526db0760a234034252e6026","target":"record","created_at":"2026-07-05T10:59:34Z","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":"f96c9050f694119419f73c7df2aed3008fbbd311908e1f9190ceb329d8cd83f5","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2025-05-06T21:30:36Z","title_canon_sha256":"d54fceb6a5a384acdb6ce76b595665c2f81441e2078b864807e5191d87784706"},"schema_version":"1.0","source":{"id":"2505.03986","kind":"arxiv","version":1}},"canonical_sha256":"427fff311d5f14a5ed6450b258e21bfe2c4f26096ee303a32bb587b8aaee337c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"427fff311d5f14a5ed6450b258e21bfe2c4f26096ee303a32bb587b8aaee337c","first_computed_at":"2026-07-05T10:59:34.644059Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:59:34.644059Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZFfKxctKggU/mf48BFVsHetZVPdTNPIJRgosZ6JKJ6JICUhkKke8V8YUMu2LuRQbwZegh+p+O+YRlRpDfdNZAg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:59:34.644543Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.03986","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee00786fd75052940365634e39894eaa797fe060526db0760a234034252e6026","sha256:17258a61e9f922e3de07567950c0dee850e4d6a6262e721f3e51cd27a78f2be9"],"state_sha256":"d2e78c5866f6684cbf4ba19fca10491c539f3053e0f63a84867f1a630cef1c3c"}