{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:YGEHHWYXZKTNKZ3ERJM7WOM2UF","short_pith_number":"pith:YGEHHWYX","canonical_record":{"source":{"id":"1212.3813","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-12-16T18:28:24Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"87d93602fe3021e2a990aa3a4f745a508a87bf885c37dd6fc0cf97aaa3cd52ce","abstract_canon_sha256":"edd6effe149e6b51f4f31322939a7757c1153dbcbf33ff373ae82896d3a01f70"},"schema_version":"1.0"},"canonical_sha256":"c18873db17caa6d567648a59fb399aa163359fef6e3c2fa07c6fa9aeb0c0a182","source":{"kind":"arxiv","id":"1212.3813","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.3813","created_at":"2026-05-18T03:38:22Z"},{"alias_kind":"arxiv_version","alias_value":"1212.3813v1","created_at":"2026-05-18T03:38:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.3813","created_at":"2026-05-18T03:38:22Z"},{"alias_kind":"pith_short_12","alias_value":"YGEHHWYXZKTN","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"YGEHHWYXZKTNKZ3E","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"YGEHHWYX","created_at":"2026-05-18T12:27:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:YGEHHWYXZKTNKZ3ERJM7WOM2UF","target":"record","payload":{"canonical_record":{"source":{"id":"1212.3813","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-12-16T18:28:24Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"87d93602fe3021e2a990aa3a4f745a508a87bf885c37dd6fc0cf97aaa3cd52ce","abstract_canon_sha256":"edd6effe149e6b51f4f31322939a7757c1153dbcbf33ff373ae82896d3a01f70"},"schema_version":"1.0"},"canonical_sha256":"c18873db17caa6d567648a59fb399aa163359fef6e3c2fa07c6fa9aeb0c0a182","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:38:22.332212Z","signature_b64":"H03Yyg3ivOSt8RuCYCzw3vCAvX3iAgsBNijeMJ6W2NYE5UTTensVkLyepDECbBnVsWtdnPWjBIM3V5IBbJNrCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c18873db17caa6d567648a59fb399aa163359fef6e3c2fa07c6fa9aeb0c0a182","last_reissued_at":"2026-05-18T03:38:22.331617Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:38:22.331617Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1212.3813","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":"2026-05-18T03:38:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2YL+TJjk2RXCF5HCSpT9zAj1o4voA0e2MW5OB7hzvZuF40v2UJxAFHGhewNSw7odi7G9UGZNYJdWYddlXftPAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T01:47:57.498736Z"},"content_sha256":"71cd1d6199776c919262348ad038f7bb8feee983fb786abce2e8ceb653df1ff5","schema_version":"1.0","event_id":"sha256:71cd1d6199776c919262348ad038f7bb8feee983fb786abce2e8ceb653df1ff5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:YGEHHWYXZKTNKZ3ERJM7WOM2UF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Comparison Isomorphisms for Smooth Formal Schemes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.AG","authors_text":"Adrian Iovita, Fabrizio Andreatta","submitted_at":"2012-12-16T18:28:24Z","abstract_excerpt":"For a smooth proper scheme or formal scheme over an unramified, complete DVR of mixed characteristics we prove a comparison isomorphism relating etale cohomology of the generic fiber with values in a crystalline etale sheaf to the crystalline cohomology of its special fiber with values in the associated F-isocrystal."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.3813","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":"2026-05-18T03:38:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y7sL+zWyUEZ9Ej2sM/b6n4dUzjA0vHwc3OIZByaakbfqrbSyLSslxWx+tlg0ywZcZB2QfQUnQ++wcKtZMQlgCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T01:47:57.499077Z"},"content_sha256":"a6cae1093eb0a61e5bd840a51a06faf1dc34546c0338ab89d4f9b5d3e39645b1","schema_version":"1.0","event_id":"sha256:a6cae1093eb0a61e5bd840a51a06faf1dc34546c0338ab89d4f9b5d3e39645b1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YGEHHWYXZKTNKZ3ERJM7WOM2UF/bundle.json","state_url":"https://pith.science/pith/YGEHHWYXZKTNKZ3ERJM7WOM2UF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YGEHHWYXZKTNKZ3ERJM7WOM2UF/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":"2026-06-27T01:47:57Z","links":{"resolver":"https://pith.science/pith/YGEHHWYXZKTNKZ3ERJM7WOM2UF","bundle":"https://pith.science/pith/YGEHHWYXZKTNKZ3ERJM7WOM2UF/bundle.json","state":"https://pith.science/pith/YGEHHWYXZKTNKZ3ERJM7WOM2UF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YGEHHWYXZKTNKZ3ERJM7WOM2UF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:YGEHHWYXZKTNKZ3ERJM7WOM2UF","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":"edd6effe149e6b51f4f31322939a7757c1153dbcbf33ff373ae82896d3a01f70","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-12-16T18:28:24Z","title_canon_sha256":"87d93602fe3021e2a990aa3a4f745a508a87bf885c37dd6fc0cf97aaa3cd52ce"},"schema_version":"1.0","source":{"id":"1212.3813","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.3813","created_at":"2026-05-18T03:38:22Z"},{"alias_kind":"arxiv_version","alias_value":"1212.3813v1","created_at":"2026-05-18T03:38:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.3813","created_at":"2026-05-18T03:38:22Z"},{"alias_kind":"pith_short_12","alias_value":"YGEHHWYXZKTN","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"YGEHHWYXZKTNKZ3E","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"YGEHHWYX","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:a6cae1093eb0a61e5bd840a51a06faf1dc34546c0338ab89d4f9b5d3e39645b1","target":"graph","created_at":"2026-05-18T03:38:22Z","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":"For a smooth proper scheme or formal scheme over an unramified, complete DVR of mixed characteristics we prove a comparison isomorphism relating etale cohomology of the generic fiber with values in a crystalline etale sheaf to the crystalline cohomology of its special fiber with values in the associated F-isocrystal.","authors_text":"Adrian Iovita, Fabrizio Andreatta","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-12-16T18:28:24Z","title":"Comparison Isomorphisms for Smooth Formal Schemes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.3813","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":"sha256:71cd1d6199776c919262348ad038f7bb8feee983fb786abce2e8ceb653df1ff5","target":"record","created_at":"2026-05-18T03:38:22Z","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":"edd6effe149e6b51f4f31322939a7757c1153dbcbf33ff373ae82896d3a01f70","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-12-16T18:28:24Z","title_canon_sha256":"87d93602fe3021e2a990aa3a4f745a508a87bf885c37dd6fc0cf97aaa3cd52ce"},"schema_version":"1.0","source":{"id":"1212.3813","kind":"arxiv","version":1}},"canonical_sha256":"c18873db17caa6d567648a59fb399aa163359fef6e3c2fa07c6fa9aeb0c0a182","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c18873db17caa6d567648a59fb399aa163359fef6e3c2fa07c6fa9aeb0c0a182","first_computed_at":"2026-05-18T03:38:22.331617Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:38:22.331617Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"H03Yyg3ivOSt8RuCYCzw3vCAvX3iAgsBNijeMJ6W2NYE5UTTensVkLyepDECbBnVsWtdnPWjBIM3V5IBbJNrCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:38:22.332212Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.3813","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:71cd1d6199776c919262348ad038f7bb8feee983fb786abce2e8ceb653df1ff5","sha256:a6cae1093eb0a61e5bd840a51a06faf1dc34546c0338ab89d4f9b5d3e39645b1"],"state_sha256":"d8187e18d8295562218a9bb9daf4447fbcc8896ce0c553398af1b9d6974e7720"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TzBpD7p5yXk3saFjgSaEZYeJNlusTdzip5C5J2Ay8xH7cXYtRu+3bt808jGf8Fdb8JEtxRIw6Td3HD2M5ZAFCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T01:47:57.501324Z","bundle_sha256":"0500a5637a226a4adf861e5b093d8eb4f1bf6f5d209af59af31678693b3fa5a5"}}