{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:ALVLFONA2Q6KCOSUMYNQTLOPND","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":"9f548e78b9e74bc2993b5aad361de11b00bfc3673d7b3557541e8d043c10b71e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-07-03T05:50:28Z","title_canon_sha256":"7b4643fb7e57e61f22f4385f9eaac010f8507ceb2ca8fcd7e26c3fca27bf7497"},"schema_version":"1.0","source":{"id":"1207.0575","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.0575","created_at":"2026-05-18T02:26:45Z"},{"alias_kind":"arxiv_version","alias_value":"1207.0575v5","created_at":"2026-05-18T02:26:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.0575","created_at":"2026-05-18T02:26:45Z"},{"alias_kind":"pith_short_12","alias_value":"ALVLFONA2Q6K","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"ALVLFONA2Q6KCOSU","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"ALVLFONA","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:0b3fed9b1e8ee864a985168ede3d869b13b4a093f3a6e3cdb5b155d733d8d1f7","target":"graph","created_at":"2026-05-18T02:26:45Z","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 that every curve on a rationally connected variety is algebraically equivalent to a (non-effective) integral sum of rational curves.","authors_text":"Hong R. Zong","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-07-03T05:50:28Z","title":"Curve Classes on Rationally Connected Varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.0575","kind":"arxiv","version":5},"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:bdf2fba945c13f17ce509787679a514001be1110a5d23ecce0d89ed8f3d1a8c6","target":"record","created_at":"2026-05-18T02:26:45Z","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":"9f548e78b9e74bc2993b5aad361de11b00bfc3673d7b3557541e8d043c10b71e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-07-03T05:50:28Z","title_canon_sha256":"7b4643fb7e57e61f22f4385f9eaac010f8507ceb2ca8fcd7e26c3fca27bf7497"},"schema_version":"1.0","source":{"id":"1207.0575","kind":"arxiv","version":5}},"canonical_sha256":"02eab2b9a0d43ca13a54661b09adcf68d1c8668a42b2c7366c8de8a44eff28ae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"02eab2b9a0d43ca13a54661b09adcf68d1c8668a42b2c7366c8de8a44eff28ae","first_computed_at":"2026-05-18T02:26:45.718056Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:26:45.718056Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"73UDZK3NpqlvbuAL4y8wOj6zOjRnxV6P3vJqSlPNcgnt+/j1iwch0AigEfWDmQYvWucVMvd4/ZJcMstTK7NWCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:26:45.718452Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.0575","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bdf2fba945c13f17ce509787679a514001be1110a5d23ecce0d89ed8f3d1a8c6","sha256:0b3fed9b1e8ee864a985168ede3d869b13b4a093f3a6e3cdb5b155d733d8d1f7"],"state_sha256":"9e501f20112cfb75ac89e7ac8f848be3643bce6dd6e7d4e316606c83d0f3fc44"}