{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:IGKHUCWBAYZYO5OOGYG3IZKUNF","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":"2b0dcec6a62c94759027e54144299fb2a428a5a9e7bcaab58731272759d7da0e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2017-01-19T17:00:04Z","title_canon_sha256":"6b6b03b2623a976eddf266afc58dcc21090c55074ac41fb08322f3de6f844f76"},"schema_version":"1.0","source":{"id":"1701.05508","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.05508","created_at":"2026-05-17T23:55:34Z"},{"alias_kind":"arxiv_version","alias_value":"1701.05508v3","created_at":"2026-05-17T23:55:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.05508","created_at":"2026-05-17T23:55:34Z"},{"alias_kind":"pith_short_12","alias_value":"IGKHUCWBAYZY","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"IGKHUCWBAYZYO5OO","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"IGKHUCWB","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:d4d8f58ba368a2e5c12bcf9a7b689e90b82a3497e9930cee0ac6e15df6a1b1df","target":"graph","created_at":"2026-05-17T23:55:34Z","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 prove in arbitrary characteristic that an immediate valued algebraic function field $F$ of transcendence degree 1 over a tame field $K$ is contained in the henselization of $K(x)$ for a suitably chosen $x\\in F$. This eliminates ramification in such valued function fields. We give generalizations of this result, relaxing the assumption on $K$. Our theorems have important applications to local uniformization and to the model theory of valued fields in positive and mixed characteristic.","authors_text":"Franz-Viktor Kuhlmann","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2017-01-19T17:00:04Z","title":"Elimination of Ramification II: Henselian Rationality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.05508","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":"sha256:389f9cf70821c3006da0169e836516ccea50f6ca6354cf0981b9106f616a10b1","target":"record","created_at":"2026-05-17T23:55:34Z","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":"2b0dcec6a62c94759027e54144299fb2a428a5a9e7bcaab58731272759d7da0e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2017-01-19T17:00:04Z","title_canon_sha256":"6b6b03b2623a976eddf266afc58dcc21090c55074ac41fb08322f3de6f844f76"},"schema_version":"1.0","source":{"id":"1701.05508","kind":"arxiv","version":3}},"canonical_sha256":"41947a0ac106338775ce360db46554695abcce40c66964543c70dc1aca84e44b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"41947a0ac106338775ce360db46554695abcce40c66964543c70dc1aca84e44b","first_computed_at":"2026-05-17T23:55:34.836059Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:55:34.836059Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Of78PRzKfw3OHk6JFsHUslYQv4cb/zyelsCmfafv540DxbT2RnUbyVmn+wIa/IixnkhBARpq4qkolD/tFHNMDg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:55:34.836546Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.05508","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:389f9cf70821c3006da0169e836516ccea50f6ca6354cf0981b9106f616a10b1","sha256:d4d8f58ba368a2e5c12bcf9a7b689e90b82a3497e9930cee0ac6e15df6a1b1df"],"state_sha256":"86708538eecdc9108b1d883f2eb51be473acb7cb48572936a93d358f0163ca39"}