{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:C63BG54FQQAZ2LCWMIBN2MA423","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":"7ca06cdbca3583bbc97c946a5dbfa6a483ec913d6af49c7849ffedc40ecb7d4d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-03-24T18:30:13Z","title_canon_sha256":"1591ac251985f607a765aed84eaaa63d94705a1f0a278cfdf0e5b23500cdcee4"},"schema_version":"1.0","source":{"id":"1703.08563","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.08563","created_at":"2026-05-18T00:38:27Z"},{"alias_kind":"arxiv_version","alias_value":"1703.08563v2","created_at":"2026-05-18T00:38:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.08563","created_at":"2026-05-18T00:38:27Z"},{"alias_kind":"pith_short_12","alias_value":"C63BG54FQQAZ","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"C63BG54FQQAZ2LCW","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"C63BG54F","created_at":"2026-05-18T12:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:269831ddfc054a025f5fa45ba108ff4f725c9adfd41ad7966cef075c5c103d80","target":"graph","created_at":"2026-05-18T00:38:27Z","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 study the dynamical properties of a large class of rational maps with exactly three ramification points. By constructing families of such maps, we obtain infinitely many conservative maps of degree $d$; this answers a question of Silverman. Rather precise results on the reduction of these maps yield strong information on the rational dynamics.","authors_text":"Irene Bouw, Jacqueline Anderson, Michelle Manes, Neslihan Girgin, Ozlem Ejder, Valentijn Karemaker","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-03-24T18:30:13Z","title":"Dynamical Belyi maps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.08563","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":"sha256:52aedb7c2ae49c2f1675cbfaa1daf937d6428417d52f4bfa964fb102e3afe10f","target":"record","created_at":"2026-05-18T00:38:27Z","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":"7ca06cdbca3583bbc97c946a5dbfa6a483ec913d6af49c7849ffedc40ecb7d4d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-03-24T18:30:13Z","title_canon_sha256":"1591ac251985f607a765aed84eaaa63d94705a1f0a278cfdf0e5b23500cdcee4"},"schema_version":"1.0","source":{"id":"1703.08563","kind":"arxiv","version":2}},"canonical_sha256":"17b613778584019d2c566202dd301cd6d9ed2028d2a4f41a1e075a663e04187d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"17b613778584019d2c566202dd301cd6d9ed2028d2a4f41a1e075a663e04187d","first_computed_at":"2026-05-18T00:38:27.973974Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:38:27.973974Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pHqd2qW8YZuaGr67rWlkxU8OheopRJeJaeqSbTwBo3JdhqSV7R4Is4b94GOpg0i8+VaV4FREvYLhdQMl40jnAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:38:27.974582Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.08563","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:52aedb7c2ae49c2f1675cbfaa1daf937d6428417d52f4bfa964fb102e3afe10f","sha256:269831ddfc054a025f5fa45ba108ff4f725c9adfd41ad7966cef075c5c103d80"],"state_sha256":"7790bfaded2c25ed34052cbb3272e7870c479374a112761a5b7e6ba56c9a7c46"}