{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:6HSHV6W7M6V3NXPG5A4C37NSAO","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":"af36bb1aeb9ebaaa7abe2209414cd99d2d57727542831448c4705400cc71e2f0","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2009-09-03T06:22:27Z","title_canon_sha256":"b9faba47620533a15ed56ecbfd2748803fe8e1bf0251845ebe1e5d3b1dc90018"},"schema_version":"1.0","source":{"id":"0909.0577","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0909.0577","created_at":"2026-05-18T01:03:24Z"},{"alias_kind":"arxiv_version","alias_value":"0909.0577v1","created_at":"2026-05-18T01:03:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0909.0577","created_at":"2026-05-18T01:03:24Z"},{"alias_kind":"pith_short_12","alias_value":"6HSHV6W7M6V3","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"6HSHV6W7M6V3NXPG","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"6HSHV6W7","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:c33e81edcec3806f3ca4f1079a071b91d44ef44ed188e91821f15889475fce17","target":"graph","created_at":"2026-05-18T01:03:24Z","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 present some results on two meromorphic functions from S to the Riemann sphere sharing a number of values where S is a Riemann surface of one of the following types: compact, compact minus finitely many points, the unit disk, a torus, the complex plane.","authors_text":"Andreas Schweizer","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2009-09-03T06:22:27Z","title":"Value-sharing of meromorphic functions on a Riemann surface"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0909.0577","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":"sha256:6cbff9f46508c836010a5f0e6dae5a5c0c7a8afc5d843c4aeeb08e469fa5ea8d","target":"record","created_at":"2026-05-18T01:03:24Z","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":"af36bb1aeb9ebaaa7abe2209414cd99d2d57727542831448c4705400cc71e2f0","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2009-09-03T06:22:27Z","title_canon_sha256":"b9faba47620533a15ed56ecbfd2748803fe8e1bf0251845ebe1e5d3b1dc90018"},"schema_version":"1.0","source":{"id":"0909.0577","kind":"arxiv","version":1}},"canonical_sha256":"f1e47afadf67abb6dde6e8382dfdb203a1130b3f68586fcbbfa2e7206300c4d1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f1e47afadf67abb6dde6e8382dfdb203a1130b3f68586fcbbfa2e7206300c4d1","first_computed_at":"2026-05-18T01:03:24.790538Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:03:24.790538Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"y/ptOTAGu57GHbQ1Z1xVfxh6p2PoYUkL5/xf/ytgEObhCZ48+Po2nBYIWI3ZGEsKpUnDS4H9wpC+2fdpxSMGBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:03:24.791053Z","signed_message":"canonical_sha256_bytes"},"source_id":"0909.0577","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6cbff9f46508c836010a5f0e6dae5a5c0c7a8afc5d843c4aeeb08e469fa5ea8d","sha256:c33e81edcec3806f3ca4f1079a071b91d44ef44ed188e91821f15889475fce17"],"state_sha256":"2939c27ba9df5851ab1dcee54c2a9cb8ad456db17d1d35c4360c4ee2e5d69b33"}