{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:K6HPNQ42FEICLOLWHKOCBIQHD7","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":"7c04a1d8dd92087ed2ca84a634ba942541081be4a4e43bed329e93a930608cc3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-04-27T18:13:12Z","title_canon_sha256":"556df0c4d933ce208a28754c39accb4856303f15903121b4e6d179c591d2759d"},"schema_version":"1.0","source":{"id":"1604.08158","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.08158","created_at":"2026-05-18T00:14:29Z"},{"alias_kind":"arxiv_version","alias_value":"1604.08158v3","created_at":"2026-05-18T00:14:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.08158","created_at":"2026-05-18T00:14:29Z"},{"alias_kind":"pith_short_12","alias_value":"K6HPNQ42FEIC","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"K6HPNQ42FEICLOLW","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"K6HPNQ42","created_at":"2026-05-18T12:30:25Z"}],"graph_snapshots":[{"event_id":"sha256:cb4c129d78a7d1dd4fce3f708fd8b44890fd6a80c49821d23c1c86591b5ce7d3","target":"graph","created_at":"2026-05-18T00:14:29Z","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 classify all rational functions whose branching pattern above {0, 1, infinity} satisfy a certain regularity condition with precisely d=5 exceptions. This work is motivated by solving second order linear differential equations, with d=5 true singularities, in terms of hypergeometric functions. A similar problem was solved for d=4 by Vidunas and Filipuk.","authors_text":"Mark van Hoeij, Vijay Jung Kunwar","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-04-27T18:13:12Z","title":"Classifying (almost)-Belyi maps with Five Exceptional Points"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.08158","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":"sha256:76cfc44596fa3376763ce0b4f81ef8cad723a55bea9baeb89bc0a25cb1935c65","target":"record","created_at":"2026-05-18T00:14:29Z","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":"7c04a1d8dd92087ed2ca84a634ba942541081be4a4e43bed329e93a930608cc3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-04-27T18:13:12Z","title_canon_sha256":"556df0c4d933ce208a28754c39accb4856303f15903121b4e6d179c591d2759d"},"schema_version":"1.0","source":{"id":"1604.08158","kind":"arxiv","version":3}},"canonical_sha256":"578ef6c39a291025b9763a9c20a2071fda197bc04919f15b5ee45c1813628ee0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"578ef6c39a291025b9763a9c20a2071fda197bc04919f15b5ee45c1813628ee0","first_computed_at":"2026-05-18T00:14:29.252449Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:14:29.252449Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3YmiAZAY1oRPrND7HKEYRmHTL+ZX28vMTq8RqYTWqY+pJktjd8X1soBdQQvMWm7wlOVUhOeQsOzzEZBubzDlCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:14:29.253130Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.08158","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:76cfc44596fa3376763ce0b4f81ef8cad723a55bea9baeb89bc0a25cb1935c65","sha256:cb4c129d78a7d1dd4fce3f708fd8b44890fd6a80c49821d23c1c86591b5ce7d3"],"state_sha256":"dbbcd69eb0cf3c944d59bd6b4986809832068de08b28698453990f5736f9d28f"}