{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:XYMS77W25CLW47KPGT4UIUF5QP","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":"09f7102b961e372959308531345ccb42305904286ce989f1c7c70493e00a480b","cross_cats_sorted":["math-ph","math.MP","math.SP"],"license":"","primary_cat":"math.CA","submitted_at":"2003-10-29T20:28:18Z","title_canon_sha256":"8f505650a8b8433cc4498d589280b97b84d1ee62013869bce0b647233efc3a92"},"schema_version":"1.0","source":{"id":"math/0310465","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0310465","created_at":"2026-07-04T14:37:50Z"},{"alias_kind":"arxiv_version","alias_value":"math/0310465v2","created_at":"2026-07-04T14:37:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0310465","created_at":"2026-07-04T14:37:50Z"},{"alias_kind":"pith_short_12","alias_value":"XYMS77W25CLW","created_at":"2026-07-04T14:37:50Z"},{"alias_kind":"pith_short_16","alias_value":"XYMS77W25CLW47KP","created_at":"2026-07-04T14:37:50Z"},{"alias_kind":"pith_short_8","alias_value":"XYMS77W2","created_at":"2026-07-04T14:37:50Z"}],"graph_snapshots":[{"event_id":"sha256:edf2d96a5ac7fa9f30d75420bcef0934a8128d3be6840eb85ced460595ba034b","target":"graph","created_at":"2026-07-04T14:37:50Z","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/math/0310465/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We find a new class of the Fuchsian equations, which have an algebraic geometric solutions with the parameter belonging to a hyperelliptic curve. Methods of calculating the algebraic genus of the curve, and its branching points, are suggested. Numerous examples are given.","authors_text":"Alexander O. Smirnov","cross_cats":["math-ph","math.MP","math.SP"],"headline":"","license":"","primary_cat":"math.CA","submitted_at":"2003-10-29T20:28:18Z","title":"Finite-gap solutions of the Fuchsian equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0310465","kind":"arxiv","version":2},"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":"sha256:5e26f4b13163e3e555c07ddb248efabeac76d8aab75ebfe0cd7e63f5f98facf1","target":"record","created_at":"2026-07-04T14:37:50Z","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":"09f7102b961e372959308531345ccb42305904286ce989f1c7c70493e00a480b","cross_cats_sorted":["math-ph","math.MP","math.SP"],"license":"","primary_cat":"math.CA","submitted_at":"2003-10-29T20:28:18Z","title_canon_sha256":"8f505650a8b8433cc4498d589280b97b84d1ee62013869bce0b647233efc3a92"},"schema_version":"1.0","source":{"id":"math/0310465","kind":"arxiv","version":2}},"canonical_sha256":"be192ffedae8976e7d4f34f94450bd83d71364bedc55fa85617050be9cd5c1c2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"be192ffedae8976e7d4f34f94450bd83d71364bedc55fa85617050be9cd5c1c2","first_computed_at":"2026-07-04T14:37:50.420069Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:37:50.420069Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Rfd9+KWNH96Er55TZ7vmlN73m6JHn53DVRTlg77s4Z6JV88HOL6Hp0H1jnFWqIR8sMI214/+xHH8I+CuWp4RAg==","signature_status":"signed_v1","signed_at":"2026-07-04T14:37:50.420433Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0310465","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5e26f4b13163e3e555c07ddb248efabeac76d8aab75ebfe0cd7e63f5f98facf1","sha256:edf2d96a5ac7fa9f30d75420bcef0934a8128d3be6840eb85ced460595ba034b"],"state_sha256":"b4c53b315d18c5dbdf8a6f08647ec66423adc1071051c7075f330f00ef163d7a"}