{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:DMLHDYGZ7Q2UDBF4K5Q46MTPS7","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":"9270bad298cf42e7bd70fc140b94c8aa127f04512d820ee36a2ac99a999cf5e5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-11-09T12:45:37Z","title_canon_sha256":"99032654cf70f5f7ebf5b2d1b70dbd68ae56ee2d20effa12bf652751ada792f9"},"schema_version":"1.0","source":{"id":"1611.02901","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.02901","created_at":"2026-05-18T00:36:52Z"},{"alias_kind":"arxiv_version","alias_value":"1611.02901v2","created_at":"2026-05-18T00:36:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.02901","created_at":"2026-05-18T00:36:52Z"},{"alias_kind":"pith_short_12","alias_value":"DMLHDYGZ7Q2U","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"DMLHDYGZ7Q2UDBF4","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"DMLHDYGZ","created_at":"2026-05-18T12:30:12Z"}],"graph_snapshots":[{"event_id":"sha256:b4975d688146c15ad7f1364bf72fa7d0601676cf141cd73458ab46f8192a8114","target":"graph","created_at":"2026-05-18T00:36:52Z","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":"Each finite and connected bipartite graph induces a finite collection of non-isomorphic dessins d'enfants, that is, $2$-cell embeddings of it into some closed orientable surface. We describe an algorithm to compute all these dessins d'enfants, together their automorphims group, monodromy group and duality type.","authors_text":"Ruben A. Hidalgo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-11-09T12:45:37Z","title":"Bipartite graphs and their dessins d'enfants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.02901","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":"sha256:9634fcc5bb5ea9ee35fade3f50b03b113980b4de9347a599704bd8cd72ea2e25","target":"record","created_at":"2026-05-18T00:36:52Z","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":"9270bad298cf42e7bd70fc140b94c8aa127f04512d820ee36a2ac99a999cf5e5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-11-09T12:45:37Z","title_canon_sha256":"99032654cf70f5f7ebf5b2d1b70dbd68ae56ee2d20effa12bf652751ada792f9"},"schema_version":"1.0","source":{"id":"1611.02901","kind":"arxiv","version":2}},"canonical_sha256":"1b1671e0d9fc354184bc5761cf326f97da7885ce72f11aca273a397181ccc94e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1b1671e0d9fc354184bc5761cf326f97da7885ce72f11aca273a397181ccc94e","first_computed_at":"2026-05-18T00:36:52.214172Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:36:52.214172Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ByrdQj53jDtDa8VgiNb3cnmsdxd0IDbPxIDimAi4FlBi2zirhEJRafGmn9YYSfSS3TPFgo8pJFtDM6LrARJeAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:36:52.214632Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.02901","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9634fcc5bb5ea9ee35fade3f50b03b113980b4de9347a599704bd8cd72ea2e25","sha256:b4975d688146c15ad7f1364bf72fa7d0601676cf141cd73458ab46f8192a8114"],"state_sha256":"ed58777cc5f5d27e7e633f76ecccf9b065e46e0dff97ff3b4e4ea1779188c9e7"}