{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:6U457XCUMABGXCMK65VLP43GUG","short_pith_number":"pith:6U457XCU","canonical_record":{"source":{"id":"1203.1867","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-03-08T17:54:50Z","cross_cats_sorted":[],"title_canon_sha256":"f8757eb05e7d0740188bd1205e3d9a10cf989fc8cb5b52b3ed91d75b3648973d","abstract_canon_sha256":"76c50aa1f427129512dcf83bdddc5e25cc2c4b26f144b2e9081c2fe1772c8f9c"},"schema_version":"1.0"},"canonical_sha256":"f539dfdc5460026b898af76ab7f366a1b934300d2a8ab364b7edb844dea9cfa2","source":{"kind":"arxiv","id":"1203.1867","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.1867","created_at":"2026-05-18T04:00:36Z"},{"alias_kind":"arxiv_version","alias_value":"1203.1867v1","created_at":"2026-05-18T04:00:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.1867","created_at":"2026-05-18T04:00:36Z"},{"alias_kind":"pith_short_12","alias_value":"6U457XCUMABG","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"6U457XCUMABGXCMK","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"6U457XCU","created_at":"2026-05-18T12:26:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:6U457XCUMABGXCMK65VLP43GUG","target":"record","payload":{"canonical_record":{"source":{"id":"1203.1867","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-03-08T17:54:50Z","cross_cats_sorted":[],"title_canon_sha256":"f8757eb05e7d0740188bd1205e3d9a10cf989fc8cb5b52b3ed91d75b3648973d","abstract_canon_sha256":"76c50aa1f427129512dcf83bdddc5e25cc2c4b26f144b2e9081c2fe1772c8f9c"},"schema_version":"1.0"},"canonical_sha256":"f539dfdc5460026b898af76ab7f366a1b934300d2a8ab364b7edb844dea9cfa2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:00:36.733478Z","signature_b64":"T45kc+B5Z9E49IM1fPypLa4Wm1KLUyQM8mS2xHxOvsg4rwk9AnLRUH9lsZbtQNm/FbolPXhyBkouWCkW8XxTBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f539dfdc5460026b898af76ab7f366a1b934300d2a8ab364b7edb844dea9cfa2","last_reissued_at":"2026-05-18T04:00:36.732935Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:00:36.732935Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1203.1867","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":"2026-05-18T04:00:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Gts8ZHN3RFHp7higOkqP8WX/kRxqKLi9mATmYCJ0b7xYCtbx48YbkNu1B4EUuP/LAcy7ivZ79M94o8TDu6vKDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T02:29:18.365467Z"},"content_sha256":"02c98f96c183f8f5ecd96f6142bef43f3922161e3db29f902ef0a67b1553b159","schema_version":"1.0","event_id":"sha256:02c98f96c183f8f5ecd96f6142bef43f3922161e3db29f902ef0a67b1553b159"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:6U457XCUMABGXCMK65VLP43GUG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lifting of Curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Florian Pop","submitted_at":"2012-03-08T17:54:50Z","abstract_excerpt":"In this note we show that a special case of a recent result by Obus-Wewers (used as a black box) together with a deformation argument in characteristic $p$ leads to a proof of the Oort Conjecture in the general case. A boundedness result is given as well."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.1867","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":"2026-05-18T04:00:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lsT19Twp7xI5ENIteldqTJQZTRE2Lal0wvxdp4vSBlM+RCdtAZHtDwF7V0Phyfjv99Fluj1qJocSZJnW9UPWCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T02:29:18.366109Z"},"content_sha256":"1e6818cf76b934fca715cb196eeae51850c9f8bcd6abf7db279e3a3a3f0c5004","schema_version":"1.0","event_id":"sha256:1e6818cf76b934fca715cb196eeae51850c9f8bcd6abf7db279e3a3a3f0c5004"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6U457XCUMABGXCMK65VLP43GUG/bundle.json","state_url":"https://pith.science/pith/6U457XCUMABGXCMK65VLP43GUG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6U457XCUMABGXCMK65VLP43GUG/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":"2026-06-08T02:29:18Z","links":{"resolver":"https://pith.science/pith/6U457XCUMABGXCMK65VLP43GUG","bundle":"https://pith.science/pith/6U457XCUMABGXCMK65VLP43GUG/bundle.json","state":"https://pith.science/pith/6U457XCUMABGXCMK65VLP43GUG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6U457XCUMABGXCMK65VLP43GUG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:6U457XCUMABGXCMK65VLP43GUG","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":"76c50aa1f427129512dcf83bdddc5e25cc2c4b26f144b2e9081c2fe1772c8f9c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-03-08T17:54:50Z","title_canon_sha256":"f8757eb05e7d0740188bd1205e3d9a10cf989fc8cb5b52b3ed91d75b3648973d"},"schema_version":"1.0","source":{"id":"1203.1867","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.1867","created_at":"2026-05-18T04:00:36Z"},{"alias_kind":"arxiv_version","alias_value":"1203.1867v1","created_at":"2026-05-18T04:00:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.1867","created_at":"2026-05-18T04:00:36Z"},{"alias_kind":"pith_short_12","alias_value":"6U457XCUMABG","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"6U457XCUMABGXCMK","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"6U457XCU","created_at":"2026-05-18T12:26:56Z"}],"graph_snapshots":[{"event_id":"sha256:1e6818cf76b934fca715cb196eeae51850c9f8bcd6abf7db279e3a3a3f0c5004","target":"graph","created_at":"2026-05-18T04:00:36Z","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 this note we show that a special case of a recent result by Obus-Wewers (used as a black box) together with a deformation argument in characteristic $p$ leads to a proof of the Oort Conjecture in the general case. A boundedness result is given as well.","authors_text":"Florian Pop","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-03-08T17:54:50Z","title":"Lifting of Curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.1867","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":"sha256:02c98f96c183f8f5ecd96f6142bef43f3922161e3db29f902ef0a67b1553b159","target":"record","created_at":"2026-05-18T04:00:36Z","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":"76c50aa1f427129512dcf83bdddc5e25cc2c4b26f144b2e9081c2fe1772c8f9c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-03-08T17:54:50Z","title_canon_sha256":"f8757eb05e7d0740188bd1205e3d9a10cf989fc8cb5b52b3ed91d75b3648973d"},"schema_version":"1.0","source":{"id":"1203.1867","kind":"arxiv","version":1}},"canonical_sha256":"f539dfdc5460026b898af76ab7f366a1b934300d2a8ab364b7edb844dea9cfa2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f539dfdc5460026b898af76ab7f366a1b934300d2a8ab364b7edb844dea9cfa2","first_computed_at":"2026-05-18T04:00:36.732935Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:00:36.732935Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"T45kc+B5Z9E49IM1fPypLa4Wm1KLUyQM8mS2xHxOvsg4rwk9AnLRUH9lsZbtQNm/FbolPXhyBkouWCkW8XxTBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:00:36.733478Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.1867","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:02c98f96c183f8f5ecd96f6142bef43f3922161e3db29f902ef0a67b1553b159","sha256:1e6818cf76b934fca715cb196eeae51850c9f8bcd6abf7db279e3a3a3f0c5004"],"state_sha256":"31f583984bcd0b54f3cdf336527daea5a246c1eeed526728d7149a9c6951f9a3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ku128WcD1SsXzsfGix4qWn3ywBAJiiexuwyCH1YgDecK+EH84FIJyRbmyhjFSRppUsJZokwWFWq6q9h3u12MCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T02:29:18.369686Z","bundle_sha256":"0b38710bbae1ffbd674bfe650e86d9b429ec2453009055ae50f3a3f07425e2eb"}}