{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:HGL6JYROA4EWDSJXTNT63JAWKR","short_pith_number":"pith:HGL6JYRO","canonical_record":{"source":{"id":"1008.0305","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-08-02T13:52:23Z","cross_cats_sorted":[],"title_canon_sha256":"925140427e55357f4dff6e9018af352e957f62997dbc6a758c650c10235d618a","abstract_canon_sha256":"6c096368fe1e5a62da092ab1f62df7e759101ea0ec9dc34e9baeac9e9ce7094c"},"schema_version":"1.0"},"canonical_sha256":"3997e4e22e070961c9379b67eda416545b91d82aef9b6b10936b88db8eebbafe","source":{"kind":"arxiv","id":"1008.0305","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.0305","created_at":"2026-05-18T04:42:43Z"},{"alias_kind":"arxiv_version","alias_value":"1008.0305v1","created_at":"2026-05-18T04:42:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.0305","created_at":"2026-05-18T04:42:43Z"},{"alias_kind":"pith_short_12","alias_value":"HGL6JYROA4EW","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"HGL6JYROA4EWDSJX","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"HGL6JYRO","created_at":"2026-05-18T12:26:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:HGL6JYROA4EWDSJXTNT63JAWKR","target":"record","payload":{"canonical_record":{"source":{"id":"1008.0305","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-08-02T13:52:23Z","cross_cats_sorted":[],"title_canon_sha256":"925140427e55357f4dff6e9018af352e957f62997dbc6a758c650c10235d618a","abstract_canon_sha256":"6c096368fe1e5a62da092ab1f62df7e759101ea0ec9dc34e9baeac9e9ce7094c"},"schema_version":"1.0"},"canonical_sha256":"3997e4e22e070961c9379b67eda416545b91d82aef9b6b10936b88db8eebbafe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:42:43.584935Z","signature_b64":"KeEqOPmcJcZLCmTIEfjOBVXurFPUpjP6FH56wbFeBMDfzlTPqV9qMg6FvCck5hlT0KvKCE2O+mG8SKd3DaenAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3997e4e22e070961c9379b67eda416545b91d82aef9b6b10936b88db8eebbafe","last_reissued_at":"2026-05-18T04:42:43.584327Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:42:43.584327Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1008.0305","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":"2026-05-18T04:42:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"W7ikperAsNx9vg5+TnMjaJs8YaX6xtSbABhNYCHU4J6+iGWEn9kbc8do1l7JKyoUKaT9NiHrdNF/SSfT7xkLCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T08:13:04.345775Z"},"content_sha256":"ea2d9e90a36774abe8cf6aaaf69e8a83e5a921b4c2542a33b96c391c2809128e","schema_version":"1.0","event_id":"sha256:ea2d9e90a36774abe8cf6aaaf69e8a83e5a921b4c2542a33b96c391c2809128e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:HGL6JYROA4EWDSJXTNT63JAWKR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Overconvergent Witt Vectors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Andreas Langer, Christopher Davis, Thomas Zink","submitted_at":"2010-08-02T13:52:23Z","abstract_excerpt":"Let A be a finitely generated algebra over a field K of characteristic p >0. We introduce a subring of the ring of Witt vectors W(A). We call it the ring of overconvergent Witt vectors. We prove that on a scheme X of finite type over K the overconvergent Witt vectors are an \\'etale sheaf. In a forthcoming paper (Annales ENS) we define an overconvergent de Rham-Witt complex on a smooth scheme X over a perfect field K whose hypercohomology is the rigid cohomology of X in the sense of Berthelot."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.0305","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":""},"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":"2026-05-18T04:42:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KJrSgXGbBM8k5HykEvc8cwVxkK59OrfAhqc5fM4NzrfHpUm2Z7to5/gAG/aqFsK3n3178IC62n1xDBN64YNKCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T08:13:04.346370Z"},"content_sha256":"f0b73ed623ae5ff23db3c701137c304a8c71054b0337309b935f02d8df5592ff","schema_version":"1.0","event_id":"sha256:f0b73ed623ae5ff23db3c701137c304a8c71054b0337309b935f02d8df5592ff"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HGL6JYROA4EWDSJXTNT63JAWKR/bundle.json","state_url":"https://pith.science/pith/HGL6JYROA4EWDSJXTNT63JAWKR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HGL6JYROA4EWDSJXTNT63JAWKR/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":"2026-05-27T08:13:04Z","links":{"resolver":"https://pith.science/pith/HGL6JYROA4EWDSJXTNT63JAWKR","bundle":"https://pith.science/pith/HGL6JYROA4EWDSJXTNT63JAWKR/bundle.json","state":"https://pith.science/pith/HGL6JYROA4EWDSJXTNT63JAWKR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HGL6JYROA4EWDSJXTNT63JAWKR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:HGL6JYROA4EWDSJXTNT63JAWKR","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":"6c096368fe1e5a62da092ab1f62df7e759101ea0ec9dc34e9baeac9e9ce7094c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-08-02T13:52:23Z","title_canon_sha256":"925140427e55357f4dff6e9018af352e957f62997dbc6a758c650c10235d618a"},"schema_version":"1.0","source":{"id":"1008.0305","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.0305","created_at":"2026-05-18T04:42:43Z"},{"alias_kind":"arxiv_version","alias_value":"1008.0305v1","created_at":"2026-05-18T04:42:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.0305","created_at":"2026-05-18T04:42:43Z"},{"alias_kind":"pith_short_12","alias_value":"HGL6JYROA4EW","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"HGL6JYROA4EWDSJX","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"HGL6JYRO","created_at":"2026-05-18T12:26:07Z"}],"graph_snapshots":[{"event_id":"sha256:f0b73ed623ae5ff23db3c701137c304a8c71054b0337309b935f02d8df5592ff","target":"graph","created_at":"2026-05-18T04:42:43Z","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":"Let A be a finitely generated algebra over a field K of characteristic p >0. We introduce a subring of the ring of Witt vectors W(A). We call it the ring of overconvergent Witt vectors. We prove that on a scheme X of finite type over K the overconvergent Witt vectors are an \\'etale sheaf. In a forthcoming paper (Annales ENS) we define an overconvergent de Rham-Witt complex on a smooth scheme X over a perfect field K whose hypercohomology is the rigid cohomology of X in the sense of Berthelot.","authors_text":"Andreas Langer, Christopher Davis, Thomas Zink","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-08-02T13:52:23Z","title":"Overconvergent Witt Vectors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.0305","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:ea2d9e90a36774abe8cf6aaaf69e8a83e5a921b4c2542a33b96c391c2809128e","target":"record","created_at":"2026-05-18T04:42:43Z","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":"6c096368fe1e5a62da092ab1f62df7e759101ea0ec9dc34e9baeac9e9ce7094c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-08-02T13:52:23Z","title_canon_sha256":"925140427e55357f4dff6e9018af352e957f62997dbc6a758c650c10235d618a"},"schema_version":"1.0","source":{"id":"1008.0305","kind":"arxiv","version":1}},"canonical_sha256":"3997e4e22e070961c9379b67eda416545b91d82aef9b6b10936b88db8eebbafe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3997e4e22e070961c9379b67eda416545b91d82aef9b6b10936b88db8eebbafe","first_computed_at":"2026-05-18T04:42:43.584327Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:42:43.584327Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KeEqOPmcJcZLCmTIEfjOBVXurFPUpjP6FH56wbFeBMDfzlTPqV9qMg6FvCck5hlT0KvKCE2O+mG8SKd3DaenAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:42:43.584935Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.0305","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ea2d9e90a36774abe8cf6aaaf69e8a83e5a921b4c2542a33b96c391c2809128e","sha256:f0b73ed623ae5ff23db3c701137c304a8c71054b0337309b935f02d8df5592ff"],"state_sha256":"a8c8fac447b98469878e0355a4e242a07d40917f13df8c53c290cff54e66a41d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NOJmkSlsB8IIYBP2i2IV6ETIQYcAUfI15e/peqgeql6PHKpKwsMshhRYEvYQ8XhSkLkfdSViv+at67+Q8VfZDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T08:13:04.349598Z","bundle_sha256":"1d634d149918738f04e96b24e0e8c9d153c25aa6a399b6150a04df919f6197b8"}}