{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:WB3WRCSNSDWBJILWQS2VZBTABA","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":"d038317d00be4375fff318a6b1efb39ad54839fa445e3ff85eb0ed7fe808751b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2009-05-07T12:44:45Z","title_canon_sha256":"a742254bb2ed81c4eb476df214a374211f5515bc21f39cad0734611851e85557"},"schema_version":"1.0","source":{"id":"0905.1017","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0905.1017","created_at":"2026-05-18T02:58:03Z"},{"alias_kind":"arxiv_version","alias_value":"0905.1017v1","created_at":"2026-05-18T02:58:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.1017","created_at":"2026-05-18T02:58:03Z"},{"alias_kind":"pith_short_12","alias_value":"WB3WRCSNSDWB","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"WB3WRCSNSDWBJILW","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"WB3WRCSN","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:f99f77bc32f000deb573bc60b088d146eddbdfd81410dfb44e3622eabfdb5cfa","target":"graph","created_at":"2026-05-18T02:58:03Z","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":"S.-W. Zhang recently introduced a new adelic invariant for curves of genus at least 2 over number fields and function fields. We calculate this invariant when the genus is equal to 2.","authors_text":"Robin de Jong","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2009-05-07T12:44:45Z","title":"Admissible constants for genus 2 curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.1017","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":"sha256:87e0bc8db661e3fa78d7e6c93cbb032f2c4719a22ac96e3a9c06601434e6787c","target":"record","created_at":"2026-05-18T02:58:03Z","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":"d038317d00be4375fff318a6b1efb39ad54839fa445e3ff85eb0ed7fe808751b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2009-05-07T12:44:45Z","title_canon_sha256":"a742254bb2ed81c4eb476df214a374211f5515bc21f39cad0734611851e85557"},"schema_version":"1.0","source":{"id":"0905.1017","kind":"arxiv","version":1}},"canonical_sha256":"b077688a4d90ec14a17684b55c8660080433bbd41a0e2a3b086085d7dfca33ad","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b077688a4d90ec14a17684b55c8660080433bbd41a0e2a3b086085d7dfca33ad","first_computed_at":"2026-05-18T02:58:03.271807Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:58:03.271807Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sj8yi2vj053J0YUKYL6HDiA20C2YLmP+uzW9AMxZLqi/omVCul0bBGVbEoZyCLWJTKKBJp0I9+XuVVP2k55VBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:58:03.272623Z","signed_message":"canonical_sha256_bytes"},"source_id":"0905.1017","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:87e0bc8db661e3fa78d7e6c93cbb032f2c4719a22ac96e3a9c06601434e6787c","sha256:f99f77bc32f000deb573bc60b088d146eddbdfd81410dfb44e3622eabfdb5cfa"],"state_sha256":"1ae48468e0280e7dfd9312d78fc1961f1ddbce0b92d1c3db081510dbcb050a6e"}