{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:6YI3HOPDH6ODRA3N4AOJZ4ZOO4","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":"eac83d61059211c6acd0f7336e5e95e9568b86eff7054a1b8ef1fa5114aad7da","cross_cats_sorted":["math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-06-02T03:36:53Z","title_canon_sha256":"4d773df13e9801b1c6b3a4b302e6d72c77291199237b09c38b72611ff6a2e5ef"},"schema_version":"1.0","source":{"id":"1506.00742","kind":"arxiv","version":7}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.00742","created_at":"2026-05-18T00:44:37Z"},{"alias_kind":"arxiv_version","alias_value":"1506.00742v7","created_at":"2026-05-18T00:44:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.00742","created_at":"2026-05-18T00:44:37Z"},{"alias_kind":"pith_short_12","alias_value":"6YI3HOPDH6OD","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"6YI3HOPDH6ODRA3N","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"6YI3HOPD","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:bd8d57f7312020f7fc5ebb4ac2858de696e8c329d52f4970798231756455212b","target":"graph","created_at":"2026-05-18T00:44:37Z","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 show that for k a perfect field of characteristic p, there exist endomorphisms of the completed algebraic closure of k((t)) which are not bijective. As a corollary, we resolve a question of Fargues and Fontaine by showing that for p a prime and C_p a completed algebraic closure of Q_p, there exist closed points of the Fargues-Fontaine curve associated to C_p whose residue fields are not (even abstractly) isomorphic to C_p as topological fields.","authors_text":"Kiran S. Kedlaya, Michael Temkin","cross_cats":["math.AT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-06-02T03:36:53Z","title":"Endomorphisms of power series fields and residue fields of Fargues-Fontaine curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.00742","kind":"arxiv","version":7},"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":"sha256:4ff1410e0bb7b9238758acfb2b81af86d99a613150eda923539adf890f98e8e3","target":"record","created_at":"2026-05-18T00:44:37Z","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":"eac83d61059211c6acd0f7336e5e95e9568b86eff7054a1b8ef1fa5114aad7da","cross_cats_sorted":["math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-06-02T03:36:53Z","title_canon_sha256":"4d773df13e9801b1c6b3a4b302e6d72c77291199237b09c38b72611ff6a2e5ef"},"schema_version":"1.0","source":{"id":"1506.00742","kind":"arxiv","version":7}},"canonical_sha256":"f611b3b9e33f9c38836de01c9cf32e771ce5cc66c409c62bb51bb549976cb14d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f611b3b9e33f9c38836de01c9cf32e771ce5cc66c409c62bb51bb549976cb14d","first_computed_at":"2026-05-18T00:44:37.356514Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:37.356514Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7N4h99695hFg7QCWQx8DQ2uwg8cOe1g31ziGAtgAtrdYb1NboKVxQ1vRFPprMoTz7Cl68VLw3bZNyMDCUHTpAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:37.357138Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.00742","source_kind":"arxiv","source_version":7}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4ff1410e0bb7b9238758acfb2b81af86d99a613150eda923539adf890f98e8e3","sha256:bd8d57f7312020f7fc5ebb4ac2858de696e8c329d52f4970798231756455212b"],"state_sha256":"b1bc0303a18cc13e7abcd8034c4a249a9e2f54e3dd5491afa47a73c824f65e27"}