{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:NOQESZBINK76INNV7X5CHLEFQD","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":"4ceffd7236ce883f00cc6586f9f0be26c9b87db75d68223d0bf71379b160217a","cross_cats_sorted":["math.LO","math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-03-09T03:16:36Z","title_canon_sha256":"471f601a00bbeda803d60fca827e98a149de5558d10ce6bf8c278ec268123be2"},"schema_version":"1.0","source":{"id":"1403.2025","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.2025","created_at":"2026-05-18T02:56:51Z"},{"alias_kind":"arxiv_version","alias_value":"1403.2025v1","created_at":"2026-05-18T02:56:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.2025","created_at":"2026-05-18T02:56:51Z"},{"alias_kind":"pith_short_12","alias_value":"NOQESZBINK76","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"NOQESZBINK76INNV","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"NOQESZBI","created_at":"2026-05-18T12:28:41Z"}],"graph_snapshots":[{"event_id":"sha256:1ac0938f2f62da69c58c12d6b7fdeddba2b34af470abb935517cc9a121ba885c","target":"graph","created_at":"2026-05-18T02:56:51Z","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 curves of genus bigger than one we prove that Buium's first arithmetic jet spaces (p-jet spaces) admit the structure of a torsor under some line bundle.\n  This result lifts a known constructions in characteristic p where the first $p$-jet space modulo p is a sheaf under the Frobenius tangent sheaf (parametrizing Frobenius linear derivations).\n  In particular we show there is a natural family of lifts of the Frobenius tangent bundle so that the first $p$-jet space (and hence higher order lifts of the Frobenius) form torsor a under this bundle.\n  The Cech cohomology classes associated to thi","authors_text":"Taylor Dupuy","cross_cats":["math.LO","math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-03-09T03:16:36Z","title":"Deligne-Illusie Classes I: Lifted Torsors of Lifts of the Frobenius for Curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.2025","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":"sha256:88c3583fdb75f907ea48492c553c47c433ca4b1a32c4dbaea4c99b2ee2d625c7","target":"record","created_at":"2026-05-18T02:56:51Z","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":"4ceffd7236ce883f00cc6586f9f0be26c9b87db75d68223d0bf71379b160217a","cross_cats_sorted":["math.LO","math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-03-09T03:16:36Z","title_canon_sha256":"471f601a00bbeda803d60fca827e98a149de5558d10ce6bf8c278ec268123be2"},"schema_version":"1.0","source":{"id":"1403.2025","kind":"arxiv","version":1}},"canonical_sha256":"6ba04964286abfe435b5fdfa23ac8580d13583f7aa19eaf9eb9cd58624c2c3a2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6ba04964286abfe435b5fdfa23ac8580d13583f7aa19eaf9eb9cd58624c2c3a2","first_computed_at":"2026-05-18T02:56:51.033150Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:56:51.033150Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CvVcDuyOm2VZPCFtzaOr1lNif4r5CqdI5b3ViDtxWH3G3QL1T6RRpprfKquTVMKZjvjIIjbeN9vE5Uz9btnoAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:56:51.033528Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.2025","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:88c3583fdb75f907ea48492c553c47c433ca4b1a32c4dbaea4c99b2ee2d625c7","sha256:1ac0938f2f62da69c58c12d6b7fdeddba2b34af470abb935517cc9a121ba885c"],"state_sha256":"ce6cc8c2f844245c244f6f9f2a4e4aba9d16475ad287bf8477786e442fb2fba1"}