{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:WFKV4XGHHZS2UL4YJ23GFCKW4Y","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":"bc3f0d723ef96424267982b3d3e662973704dc328217e9dd2a1c96800236af0e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2009-10-04T18:42:35Z","title_canon_sha256":"45342a4a7c92204a4c6b4d72ad9c2f6f47edde88ca251540a337e2e55b09ff0c"},"schema_version":"1.0","source":{"id":"0910.0628","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0910.0628","created_at":"2026-05-18T03:38:56Z"},{"alias_kind":"arxiv_version","alias_value":"0910.0628v3","created_at":"2026-05-18T03:38:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.0628","created_at":"2026-05-18T03:38:56Z"},{"alias_kind":"pith_short_12","alias_value":"WFKV4XGHHZS2","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"WFKV4XGHHZS2UL4Y","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"WFKV4XGH","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:aa7e3685c45549fba95570d23f6856e618994a79a97b035b4195c2efc2235e93","target":"graph","created_at":"2026-05-18T03:38:56Z","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 show that the zero locus of an admissible normal function on a smooth complex algebraic variety is algebraic.","authors_text":"Gregory Pearlstein, Patrick Brosnan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2009-10-04T18:42:35Z","title":"On the algebraicity of the zero locus of an admissible normal function"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.0628","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":"sha256:4324bef0ce1b17aeccb3b0a810dc6352bd49b6784213451cd8e7942d69de23e4","target":"record","created_at":"2026-05-18T03:38:56Z","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":"bc3f0d723ef96424267982b3d3e662973704dc328217e9dd2a1c96800236af0e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2009-10-04T18:42:35Z","title_canon_sha256":"45342a4a7c92204a4c6b4d72ad9c2f6f47edde88ca251540a337e2e55b09ff0c"},"schema_version":"1.0","source":{"id":"0910.0628","kind":"arxiv","version":3}},"canonical_sha256":"b1555e5cc73e65aa2f984eb6628956e61612095c52b8495dabf370540502fd93","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b1555e5cc73e65aa2f984eb6628956e61612095c52b8495dabf370540502fd93","first_computed_at":"2026-05-18T03:38:56.498186Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:38:56.498186Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5zuYUW2SX7EKHhk4PKliz5ZO3d+mU+lHKhyPd9F5c/KEdNHU48yAI8luVq71K71u3B93BJaz0Tbng0Iu9bA6CA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:38:56.498619Z","signed_message":"canonical_sha256_bytes"},"source_id":"0910.0628","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4324bef0ce1b17aeccb3b0a810dc6352bd49b6784213451cd8e7942d69de23e4","sha256:aa7e3685c45549fba95570d23f6856e618994a79a97b035b4195c2efc2235e93"],"state_sha256":"f4832821f13af90d38e1e62241c4bfbc664ded4388f4ab8e87e08449ecf22095"}