{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:VFJ6URFMXTXBEQT7SYKSL636XT","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":"4112375b9a5f34552bb9a2dfbece6496d50b280760051ed6b3d61804b0ca8a65","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-12-21T21:14:33Z","title_canon_sha256":"91a5931c33f45359149e47f3a0a380a60513d701e72eade4d5765208b4e945ac"},"schema_version":"1.0","source":{"id":"1412.6836","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.6836","created_at":"2026-05-18T00:29:06Z"},{"alias_kind":"arxiv_version","alias_value":"1412.6836v3","created_at":"2026-05-18T00:29:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.6836","created_at":"2026-05-18T00:29:06Z"},{"alias_kind":"pith_short_12","alias_value":"VFJ6URFMXTXB","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"VFJ6URFMXTXBEQT7","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"VFJ6URFM","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:1d77fbbca882bd714622b1828591df5bafdca1a431ab9747d7e8bf86209dc17d","target":"graph","created_at":"2026-05-18T00:29:06Z","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 paper we study a correspondence between cyclic modules over the first Weyl algebra and planar algebraic curves in positive characteristic. In particular, we show that any such curve has a preimage under a morphism of certain ind-schemes. This property might pave the way for an indirect proof of existence of a canonical isomorphism between the group of algebra automorphisms of the first Weyl algebra over the field complex numbers and the group of polynomial symplectomorphisms of $\\mathbb{C}^2$.","authors_text":"Alexei Kanel-Belov, Andrey Elishev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-12-21T21:14:33Z","title":"On Planar Algebraic Curves and Holonomic $\\mathcal{D}$-modules in Positive Characteristic"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.6836","kind":"arxiv","version":3},"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":"sha256:6b37ec41a332096500b9e684d109b99c0d7e12d6238b97291db828c4511c04fb","target":"record","created_at":"2026-05-18T00:29:06Z","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":"4112375b9a5f34552bb9a2dfbece6496d50b280760051ed6b3d61804b0ca8a65","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-12-21T21:14:33Z","title_canon_sha256":"91a5931c33f45359149e47f3a0a380a60513d701e72eade4d5765208b4e945ac"},"schema_version":"1.0","source":{"id":"1412.6836","kind":"arxiv","version":3}},"canonical_sha256":"a953ea44acbcee12427f961525fb7ebce35629769e2895cb9498fd3c56f880bd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a953ea44acbcee12427f961525fb7ebce35629769e2895cb9498fd3c56f880bd","first_computed_at":"2026-05-18T00:29:06.045498Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:29:06.045498Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eXmEE4Ux2QxUrU09h997sGcbCPA70uStOKOP31ipuienehu8EiKSadph3wvCFWmfImIwO8ubyRjkoqesDvElAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:29:06.046035Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.6836","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6b37ec41a332096500b9e684d109b99c0d7e12d6238b97291db828c4511c04fb","sha256:1d77fbbca882bd714622b1828591df5bafdca1a431ab9747d7e8bf86209dc17d"],"state_sha256":"42a652378d775db3e76b57bade14337c249445de01e26565167ed47c1a8b5da1"}