{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:E5GZW7YV5NCMB6G2OJAT2VSIBR","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":"ed0b70b9a9a270588500db5de47380a1b4f65c7f075696ed87b541ae3b9cb836","cross_cats_sorted":["math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-07-02T21:54:42Z","title_canon_sha256":"bb9cdd7ed5cc809bf2bd7678e77729b93fc3da75e368894d536b6c2aa2f49b1b"},"schema_version":"1.0","source":{"id":"1207.0530","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.0530","created_at":"2026-05-18T02:30:32Z"},{"alias_kind":"arxiv_version","alias_value":"1207.0530v3","created_at":"2026-05-18T02:30:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.0530","created_at":"2026-05-18T02:30:32Z"},{"alias_kind":"pith_short_12","alias_value":"E5GZW7YV5NCM","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"E5GZW7YV5NCMB6G2","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"E5GZW7YV","created_at":"2026-05-18T12:27:04Z"}],"graph_snapshots":[{"event_id":"sha256:686bb9b9b8bb2b5486119481519af7fe55cf607e411493552dd8df5cc49bf801","target":"graph","created_at":"2026-05-18T02:30:32Z","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 analyze cohomological properties of the Krichever map and use the results to study Weierstrass cycles in moduli spaces and the tautological ring.","authors_text":"Albert Schwarz, Jia-Ming (Frank) Liou","cross_cats":["math.AT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-07-02T21:54:42Z","title":"Weierstrass cycles in moduli spaces and the Krichever map"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.0530","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":"sha256:43dbca830e632409aff622d19cb9d3573095f1ce58dfc570e139145e4c37a3e0","target":"record","created_at":"2026-05-18T02:30:32Z","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":"ed0b70b9a9a270588500db5de47380a1b4f65c7f075696ed87b541ae3b9cb836","cross_cats_sorted":["math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-07-02T21:54:42Z","title_canon_sha256":"bb9cdd7ed5cc809bf2bd7678e77729b93fc3da75e368894d536b6c2aa2f49b1b"},"schema_version":"1.0","source":{"id":"1207.0530","kind":"arxiv","version":3}},"canonical_sha256":"274d9b7f15eb44c0f8da72413d56480c70af47a641168d217aa6648d30a9f10a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"274d9b7f15eb44c0f8da72413d56480c70af47a641168d217aa6648d30a9f10a","first_computed_at":"2026-05-18T02:30:32.837569Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:30:32.837569Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"01Rpwzs+JzI4MJhU3Z3jNSLKCkY47YhEBt6E4+WIOwYEqRe1OdmwqggrfrylCFpFr3Wlkq9N9Oxc9rExo4aHCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:30:32.837997Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.0530","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:43dbca830e632409aff622d19cb9d3573095f1ce58dfc570e139145e4c37a3e0","sha256:686bb9b9b8bb2b5486119481519af7fe55cf607e411493552dd8df5cc49bf801"],"state_sha256":"2fb22fa42d693276120e5ea1d46a228ea871c4fedc550b34261c7644efe90e24"}