{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:HSZHRIIKM7ZTFZS7DUYWWZ5YFW","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":"8ef24e9d0cddcbc7af0ce2a0ca5a2a6bedc29eb5caa0f74642f9f0cb3b8b0a74","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-11-15T18:43:31Z","title_canon_sha256":"c063decb39c104c83d4b82fd3c915109e28f5f13c653a0992e2cc8d8da363007"},"schema_version":"1.0","source":{"id":"1111.3607","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.3607","created_at":"2026-05-18T02:58:00Z"},{"alias_kind":"arxiv_version","alias_value":"1111.3607v1","created_at":"2026-05-18T02:58:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.3607","created_at":"2026-05-18T02:58:00Z"},{"alias_kind":"pith_short_12","alias_value":"HSZHRIIKM7ZT","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"HSZHRIIKM7ZTFZS7","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"HSZHRIIK","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:7c5c7f2341af83494771a294d26b5ecc721902050d7981554e9cb04b1702c44c","target":"graph","created_at":"2026-05-18T02:58:00Z","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":"Given a polynomial f of degree d defined over a complete local field, we construct a biholomorphic change of variables defined in a neighbourhood of infinity which transforms the action z->f(z) to the multiplicative action z->z^d. The relation between this construction and the Bottcher coordinate in complex polynomial dynamics is similar to the relation between the complex uniformization of elliptic curves, and Tate's p-adic uniformization. Specifically, this biholomorphism is Galois equivariant, reducing certain questions about the Galois theory of preimages by f to questions about multiplica","authors_text":"Patrick Ingram","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-11-15T18:43:31Z","title":"Arboreal Galois representations and uniformization of polynomial dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.3607","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":"sha256:34e75302130e25bd9c642d189f1a5f2192fa9350595dd38625f1ebbf86adceb3","target":"record","created_at":"2026-05-18T02:58:00Z","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":"8ef24e9d0cddcbc7af0ce2a0ca5a2a6bedc29eb5caa0f74642f9f0cb3b8b0a74","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-11-15T18:43:31Z","title_canon_sha256":"c063decb39c104c83d4b82fd3c915109e28f5f13c653a0992e2cc8d8da363007"},"schema_version":"1.0","source":{"id":"1111.3607","kind":"arxiv","version":1}},"canonical_sha256":"3cb278a10a67f332e65f1d316b67b82db5a776258289e9622dd9a8742949783f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3cb278a10a67f332e65f1d316b67b82db5a776258289e9622dd9a8742949783f","first_computed_at":"2026-05-18T02:58:00.184649Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:58:00.184649Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"39NUh0aAbJGq++UL7sPnGygAMDoLC/ZmytTzK2UY6kP3PwU/ru2SleB76ybmaICvHQCvgn66oO/MGn8waK1xAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:58:00.185450Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.3607","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:34e75302130e25bd9c642d189f1a5f2192fa9350595dd38625f1ebbf86adceb3","sha256:7c5c7f2341af83494771a294d26b5ecc721902050d7981554e9cb04b1702c44c"],"state_sha256":"517b2e50bc36db382d18bc02c78adffaab6c79a152e77edc278405a8a0cbab28"}