{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:5CMYRN2XWN4BS5KMH6534LAUMV","short_pith_number":"pith:5CMYRN2X","canonical_record":{"source":{"id":"2110.10120","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2021-10-19T17:25:12Z","cross_cats_sorted":[],"title_canon_sha256":"2eafbcfa95dfd7e3c462f1fad80fc32e3a770ce7874193c4ea097b3ae035589f","abstract_canon_sha256":"b8e327b0079614627212ed45986b1398b6043a454d1e99cccb512c5cfb5eba11"},"schema_version":"1.0"},"canonical_sha256":"e89988b757b37819754c3fbbbe2c146540bc063336cc54f0709a1c53c76ecc34","source":{"kind":"arxiv","id":"2110.10120","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2110.10120","created_at":"2026-07-05T03:24:04Z"},{"alias_kind":"arxiv_version","alias_value":"2110.10120v1","created_at":"2026-07-05T03:24:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2110.10120","created_at":"2026-07-05T03:24:04Z"},{"alias_kind":"pith_short_12","alias_value":"5CMYRN2XWN4B","created_at":"2026-07-05T03:24:04Z"},{"alias_kind":"pith_short_16","alias_value":"5CMYRN2XWN4BS5KM","created_at":"2026-07-05T03:24:04Z"},{"alias_kind":"pith_short_8","alias_value":"5CMYRN2X","created_at":"2026-07-05T03:24:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:5CMYRN2XWN4BS5KMH6534LAUMV","target":"record","payload":{"canonical_record":{"source":{"id":"2110.10120","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2021-10-19T17:25:12Z","cross_cats_sorted":[],"title_canon_sha256":"2eafbcfa95dfd7e3c462f1fad80fc32e3a770ce7874193c4ea097b3ae035589f","abstract_canon_sha256":"b8e327b0079614627212ed45986b1398b6043a454d1e99cccb512c5cfb5eba11"},"schema_version":"1.0"},"canonical_sha256":"e89988b757b37819754c3fbbbe2c146540bc063336cc54f0709a1c53c76ecc34","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:24:04.064248Z","signature_b64":"3jsTz1cBovJgyHgVfDkRU1GJjo8XOvUrePkjAzeTjSaZnf9ziMfaXxjLbymAkrXicUwRTo3rMGSNh6nvTSTFCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e89988b757b37819754c3fbbbe2c146540bc063336cc54f0709a1c53c76ecc34","last_reissued_at":"2026-07-05T03:24:04.063757Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:24:04.063757Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2110.10120","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T03:24:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xtSX1sNNDYjAAhDjjzk2aoQgdJZFTjJrgJlWamkfXBEfVy8S3Xy9AFMjyXWiy+sqd7iGOkUEuhkFjrns4KDdBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T15:45:25.025143Z"},"content_sha256":"fcab414ec9205011e7ba5c1382ebc6a003cdeee57e557983d0660369bff59240","schema_version":"1.0","event_id":"sha256:fcab414ec9205011e7ba5c1382ebc6a003cdeee57e557983d0660369bff59240"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:5CMYRN2XWN4BS5KMH6534LAUMV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Tilting Correspondences of Perfectoid Rings","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Arnab Kundu","submitted_at":"2021-10-19T17:25:12Z","abstract_excerpt":"In this article, we present an alternate proof of a vanishing result of \\'etale cohomology on perfectoid rings due to \\v{C}esnavi\\v{c}ius and more recently proved by a different approach by Bhatt and Scholze. To establish that, we prove a tilting equivalence of \\'etale cohomology of perfectoid rings taking values in commutative, finite \\'etale group schemes. On the way, we algebraically establish an analogue of the tilting correspondences of Scholze, between the category of finite \\'etale schemes over a perfectoid ring and that over its tilt, without using tools from almost ring theory or adic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2110.10120","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2110.10120/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T03:24:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XE3/UX5iOoRUT5COISi3XDr3Si5mBLYnT0g82Zmany1EKaQvMecHv6pPRqk32l7GEqBA6kpAHVusdIwtLHViAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T15:45:25.025864Z"},"content_sha256":"ee2352c9c7184081ead31a3e794b9d3e534da02607e1204d9f4562334478c581","schema_version":"1.0","event_id":"sha256:ee2352c9c7184081ead31a3e794b9d3e534da02607e1204d9f4562334478c581"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5CMYRN2XWN4BS5KMH6534LAUMV/bundle.json","state_url":"https://pith.science/pith/5CMYRN2XWN4BS5KMH6534LAUMV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5CMYRN2XWN4BS5KMH6534LAUMV/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":"2026-07-05T15:45:25Z","links":{"resolver":"https://pith.science/pith/5CMYRN2XWN4BS5KMH6534LAUMV","bundle":"https://pith.science/pith/5CMYRN2XWN4BS5KMH6534LAUMV/bundle.json","state":"https://pith.science/pith/5CMYRN2XWN4BS5KMH6534LAUMV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5CMYRN2XWN4BS5KMH6534LAUMV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:5CMYRN2XWN4BS5KMH6534LAUMV","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":"b8e327b0079614627212ed45986b1398b6043a454d1e99cccb512c5cfb5eba11","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2021-10-19T17:25:12Z","title_canon_sha256":"2eafbcfa95dfd7e3c462f1fad80fc32e3a770ce7874193c4ea097b3ae035589f"},"schema_version":"1.0","source":{"id":"2110.10120","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2110.10120","created_at":"2026-07-05T03:24:04Z"},{"alias_kind":"arxiv_version","alias_value":"2110.10120v1","created_at":"2026-07-05T03:24:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2110.10120","created_at":"2026-07-05T03:24:04Z"},{"alias_kind":"pith_short_12","alias_value":"5CMYRN2XWN4B","created_at":"2026-07-05T03:24:04Z"},{"alias_kind":"pith_short_16","alias_value":"5CMYRN2XWN4BS5KM","created_at":"2026-07-05T03:24:04Z"},{"alias_kind":"pith_short_8","alias_value":"5CMYRN2X","created_at":"2026-07-05T03:24:04Z"}],"graph_snapshots":[{"event_id":"sha256:ee2352c9c7184081ead31a3e794b9d3e534da02607e1204d9f4562334478c581","target":"graph","created_at":"2026-07-05T03:24:04Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2110.10120/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this article, we present an alternate proof of a vanishing result of \\'etale cohomology on perfectoid rings due to \\v{C}esnavi\\v{c}ius and more recently proved by a different approach by Bhatt and Scholze. To establish that, we prove a tilting equivalence of \\'etale cohomology of perfectoid rings taking values in commutative, finite \\'etale group schemes. On the way, we algebraically establish an analogue of the tilting correspondences of Scholze, between the category of finite \\'etale schemes over a perfectoid ring and that over its tilt, without using tools from almost ring theory or adic","authors_text":"Arnab Kundu","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2021-10-19T17:25:12Z","title":"Tilting Correspondences of Perfectoid Rings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2110.10120","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:fcab414ec9205011e7ba5c1382ebc6a003cdeee57e557983d0660369bff59240","target":"record","created_at":"2026-07-05T03:24:04Z","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":"b8e327b0079614627212ed45986b1398b6043a454d1e99cccb512c5cfb5eba11","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2021-10-19T17:25:12Z","title_canon_sha256":"2eafbcfa95dfd7e3c462f1fad80fc32e3a770ce7874193c4ea097b3ae035589f"},"schema_version":"1.0","source":{"id":"2110.10120","kind":"arxiv","version":1}},"canonical_sha256":"e89988b757b37819754c3fbbbe2c146540bc063336cc54f0709a1c53c76ecc34","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e89988b757b37819754c3fbbbe2c146540bc063336cc54f0709a1c53c76ecc34","first_computed_at":"2026-07-05T03:24:04.063757Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:24:04.063757Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3jsTz1cBovJgyHgVfDkRU1GJjo8XOvUrePkjAzeTjSaZnf9ziMfaXxjLbymAkrXicUwRTo3rMGSNh6nvTSTFCw==","signature_status":"signed_v1","signed_at":"2026-07-05T03:24:04.064248Z","signed_message":"canonical_sha256_bytes"},"source_id":"2110.10120","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fcab414ec9205011e7ba5c1382ebc6a003cdeee57e557983d0660369bff59240","sha256:ee2352c9c7184081ead31a3e794b9d3e534da02607e1204d9f4562334478c581"],"state_sha256":"c867cd6fb3bbaaf97741c22a99b6b05cb53e89b445258eff74c6a1e27ea92e37"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gPZgR4zw1/GkxFL8+MwrkESz9SY872iryLuViWNbx3ZvQFYnaa9XoWiOnXrngo3I/NEw+WJ2Q4V60OrAdak7AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T15:45:25.029072Z","bundle_sha256":"66d6e293e9c3792a39cb9ac7552fabf19e53ffa5ecd272beb7836a681fcea9e3"}}