{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:J5CDB4GUMC2TR5OISCMWNE3RPW","short_pith_number":"pith:J5CDB4GU","canonical_record":{"source":{"id":"1403.2942","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-03-12T14:25:09Z","cross_cats_sorted":[],"title_canon_sha256":"34100aaaec72a4e38fa7680bc982f7408a5b65b2fe73260e8fe2bc32627503bc","abstract_canon_sha256":"3beed656c19d65b1f6122002f4079bc81858b7a5b0fd4f36fa30896bce3457c1"},"schema_version":"1.0"},"canonical_sha256":"4f4430f0d460b538f5c890996693717d82c52a6d9c20eaed6550c19187a86f32","source":{"kind":"arxiv","id":"1403.2942","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.2942","created_at":"2026-05-18T02:41:53Z"},{"alias_kind":"arxiv_version","alias_value":"1403.2942v2","created_at":"2026-05-18T02:41:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.2942","created_at":"2026-05-18T02:41:53Z"},{"alias_kind":"pith_short_12","alias_value":"J5CDB4GUMC2T","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"J5CDB4GUMC2TR5OI","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"J5CDB4GU","created_at":"2026-05-18T12:28:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:J5CDB4GUMC2TR5OISCMWNE3RPW","target":"record","payload":{"canonical_record":{"source":{"id":"1403.2942","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-03-12T14:25:09Z","cross_cats_sorted":[],"title_canon_sha256":"34100aaaec72a4e38fa7680bc982f7408a5b65b2fe73260e8fe2bc32627503bc","abstract_canon_sha256":"3beed656c19d65b1f6122002f4079bc81858b7a5b0fd4f36fa30896bce3457c1"},"schema_version":"1.0"},"canonical_sha256":"4f4430f0d460b538f5c890996693717d82c52a6d9c20eaed6550c19187a86f32","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:41:53.231511Z","signature_b64":"rTejw6+wJdfbtoNA/SY43WXUMeiiTqjxPNjVEobLDuBWvv8W1ogXDkGG8LCr1wgEI0A5FIkETH1Eas65VwKSCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4f4430f0d460b538f5c890996693717d82c52a6d9c20eaed6550c19187a86f32","last_reissued_at":"2026-05-18T02:41:53.230815Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:41:53.230815Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.2942","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:41:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"73ZHX2Mvh1QoW15qJv8kYLVjgH9fleH1O4GbV1NEdbDMN6FDF77jb4DSCIy3n50rKck2T0J+A1N4rSdi5yMpDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T08:39:23.405360Z"},"content_sha256":"94b44b81d7221f197eb3d550b5d53b2b20dded31a3ad1ebbd07a7faaf89a519f","schema_version":"1.0","event_id":"sha256:94b44b81d7221f197eb3d550b5d53b2b20dded31a3ad1ebbd07a7faaf89a519f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:J5CDB4GUMC2TR5OISCMWNE3RPW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Almost purity and overconvergent Witt vectors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Christopher Davis, Kiran S. Kedlaya","submitted_at":"2014-03-12T14:25:09Z","abstract_excerpt":"In a previous paper, we stated a general almost purity theorem in the style of Faltings: if R is a ring for which the Frobenius maps on finite p-typical Witt vectors over R are surjective, then the integral closure of R in a finite \\'etale extension of R[p^{-1}] is \"almost\" finite \\'etale over R. Here, we use almost purity to lift the finite \\'etale extension of R[p^{-1}] to a finite \\'etale extension of rings of overconvergent Witt vectors. The point is that no hypothesis of p-adic completeness is needed; this result thus points towards potential global analogues of p-adic Hodge theory. As an"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.2942","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:41:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ySNk/2GgrV/hT2KDkayfXC0kNZXA7pS35LVzLRw86WQPfvvffk0Kx2P94dRttT3RzinhT3ZyONYOe5kHm0AIBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T08:39:23.405719Z"},"content_sha256":"5a97bb41927a594daddb42fb1e3f5d0c8cd7ee6a027b2ab4ac84d183493c7361","schema_version":"1.0","event_id":"sha256:5a97bb41927a594daddb42fb1e3f5d0c8cd7ee6a027b2ab4ac84d183493c7361"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J5CDB4GUMC2TR5OISCMWNE3RPW/bundle.json","state_url":"https://pith.science/pith/J5CDB4GUMC2TR5OISCMWNE3RPW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J5CDB4GUMC2TR5OISCMWNE3RPW/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-30T08:39:23Z","links":{"resolver":"https://pith.science/pith/J5CDB4GUMC2TR5OISCMWNE3RPW","bundle":"https://pith.science/pith/J5CDB4GUMC2TR5OISCMWNE3RPW/bundle.json","state":"https://pith.science/pith/J5CDB4GUMC2TR5OISCMWNE3RPW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J5CDB4GUMC2TR5OISCMWNE3RPW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:J5CDB4GUMC2TR5OISCMWNE3RPW","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":"3beed656c19d65b1f6122002f4079bc81858b7a5b0fd4f36fa30896bce3457c1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-03-12T14:25:09Z","title_canon_sha256":"34100aaaec72a4e38fa7680bc982f7408a5b65b2fe73260e8fe2bc32627503bc"},"schema_version":"1.0","source":{"id":"1403.2942","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.2942","created_at":"2026-05-18T02:41:53Z"},{"alias_kind":"arxiv_version","alias_value":"1403.2942v2","created_at":"2026-05-18T02:41:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.2942","created_at":"2026-05-18T02:41:53Z"},{"alias_kind":"pith_short_12","alias_value":"J5CDB4GUMC2T","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"J5CDB4GUMC2TR5OI","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"J5CDB4GU","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:5a97bb41927a594daddb42fb1e3f5d0c8cd7ee6a027b2ab4ac84d183493c7361","target":"graph","created_at":"2026-05-18T02:41:53Z","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":"In a previous paper, we stated a general almost purity theorem in the style of Faltings: if R is a ring for which the Frobenius maps on finite p-typical Witt vectors over R are surjective, then the integral closure of R in a finite \\'etale extension of R[p^{-1}] is \"almost\" finite \\'etale over R. Here, we use almost purity to lift the finite \\'etale extension of R[p^{-1}] to a finite \\'etale extension of rings of overconvergent Witt vectors. The point is that no hypothesis of p-adic completeness is needed; this result thus points towards potential global analogues of p-adic Hodge theory. As an","authors_text":"Christopher Davis, Kiran S. Kedlaya","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-03-12T14:25:09Z","title":"Almost purity and overconvergent Witt vectors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.2942","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":"sha256:94b44b81d7221f197eb3d550b5d53b2b20dded31a3ad1ebbd07a7faaf89a519f","target":"record","created_at":"2026-05-18T02:41:53Z","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":"3beed656c19d65b1f6122002f4079bc81858b7a5b0fd4f36fa30896bce3457c1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-03-12T14:25:09Z","title_canon_sha256":"34100aaaec72a4e38fa7680bc982f7408a5b65b2fe73260e8fe2bc32627503bc"},"schema_version":"1.0","source":{"id":"1403.2942","kind":"arxiv","version":2}},"canonical_sha256":"4f4430f0d460b538f5c890996693717d82c52a6d9c20eaed6550c19187a86f32","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4f4430f0d460b538f5c890996693717d82c52a6d9c20eaed6550c19187a86f32","first_computed_at":"2026-05-18T02:41:53.230815Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:41:53.230815Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rTejw6+wJdfbtoNA/SY43WXUMeiiTqjxPNjVEobLDuBWvv8W1ogXDkGG8LCr1wgEI0A5FIkETH1Eas65VwKSCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:41:53.231511Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.2942","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:94b44b81d7221f197eb3d550b5d53b2b20dded31a3ad1ebbd07a7faaf89a519f","sha256:5a97bb41927a594daddb42fb1e3f5d0c8cd7ee6a027b2ab4ac84d183493c7361"],"state_sha256":"afef40cbdf1a2b292a80e64d71f53e6d00725e1508d72c04855f3ecc82373551"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4s0rwDb4KyXFKaBmPbfXx9YcTSoGjOSiQh26ZWHB5r4eRGs+lce5q8sKLneLeeLIxo3qBIYFogUkMbthSrdjAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T08:39:23.407955Z","bundle_sha256":"0e9519b100e7783aba1ea6a0f6283044d29a745ee5000e36afb7c3c2495e8076"}}