{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:PGUUBAJSEWPX27USZLEG723UEQ","short_pith_number":"pith:PGUUBAJS","schema_version":"1.0","canonical_sha256":"79a9408132259f7d7e92cac86feb74241e408fade1e9cf585d875c707977730a","source":{"kind":"arxiv","id":"1301.0621","version":2},"attestation_state":"computed","paper":{"title":"Einstein--Weyl geometry, dispersionless Hirota equation and Veronese webs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","nlin.SI"],"primary_cat":"math.DG","authors_text":"Maciej Dunajski, Wojciech Krynski","submitted_at":"2013-01-03T21:00:01Z","abstract_excerpt":"We exploit the correspondence between the three-dimensional Lorentzian Einstein-Weyl geometries of the hyper-CR type, and the Veronese webs to show that the former structures are locally given in terms of solutions to the dispersionless Hirota equation. We also demonstrate how to construct hyper-CR Einstein--Weyl structures by Kodaira deformations of the flat twistor space $T\\CP^1$, and how to recover the pencil of Poisson structures in five dimensions illustrating the method by an example of the Veronese web on the Heisenberg group."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1301.0621","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-01-03T21:00:01Z","cross_cats_sorted":["hep-th","nlin.SI"],"title_canon_sha256":"5f26c973d2190a5d24a6ff19e495f89124b915b16998c8b60aee94cea20bc27e","abstract_canon_sha256":"1eea5dc95818c0e06cd232e7ba116119e51e2e1ec9893647dc2455d0935b9df8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:35.891089Z","signature_b64":"S4KPZWaVbEOiom2CXeppi/o1ak3+FFdlUSjBU5JX1pgQlMiFi+q6BgIUte7rpEGTf+sRDOuQNYSb7r1/pO5FDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"79a9408132259f7d7e92cac86feb74241e408fade1e9cf585d875c707977730a","last_reissued_at":"2026-05-17T23:53:35.890259Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:35.890259Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Einstein--Weyl geometry, dispersionless Hirota equation and Veronese webs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","nlin.SI"],"primary_cat":"math.DG","authors_text":"Maciej Dunajski, Wojciech Krynski","submitted_at":"2013-01-03T21:00:01Z","abstract_excerpt":"We exploit the correspondence between the three-dimensional Lorentzian Einstein-Weyl geometries of the hyper-CR type, and the Veronese webs to show that the former structures are locally given in terms of solutions to the dispersionless Hirota equation. We also demonstrate how to construct hyper-CR Einstein--Weyl structures by Kodaira deformations of the flat twistor space $T\\CP^1$, and how to recover the pencil of Poisson structures in five dimensions illustrating the method by an example of the Veronese web on the Heisenberg group."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.0621","kind":"arxiv","version":2},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1301.0621","created_at":"2026-05-17T23:53:35.890430+00:00"},{"alias_kind":"arxiv_version","alias_value":"1301.0621v2","created_at":"2026-05-17T23:53:35.890430+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.0621","created_at":"2026-05-17T23:53:35.890430+00:00"},{"alias_kind":"pith_short_12","alias_value":"PGUUBAJSEWPX","created_at":"2026-05-18T12:27:54.935989+00:00"},{"alias_kind":"pith_short_16","alias_value":"PGUUBAJSEWPX27US","created_at":"2026-05-18T12:27:54.935989+00:00"},{"alias_kind":"pith_short_8","alias_value":"PGUUBAJS","created_at":"2026-05-18T12:27:54.935989+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PGUUBAJSEWPX27USZLEG723UEQ","json":"https://pith.science/pith/PGUUBAJSEWPX27USZLEG723UEQ.json","graph_json":"https://pith.science/api/pith-number/PGUUBAJSEWPX27USZLEG723UEQ/graph.json","events_json":"https://pith.science/api/pith-number/PGUUBAJSEWPX27USZLEG723UEQ/events.json","paper":"https://pith.science/paper/PGUUBAJS"},"agent_actions":{"view_html":"https://pith.science/pith/PGUUBAJSEWPX27USZLEG723UEQ","download_json":"https://pith.science/pith/PGUUBAJSEWPX27USZLEG723UEQ.json","view_paper":"https://pith.science/paper/PGUUBAJS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1301.0621&json=true","fetch_graph":"https://pith.science/api/pith-number/PGUUBAJSEWPX27USZLEG723UEQ/graph.json","fetch_events":"https://pith.science/api/pith-number/PGUUBAJSEWPX27USZLEG723UEQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PGUUBAJSEWPX27USZLEG723UEQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PGUUBAJSEWPX27USZLEG723UEQ/action/storage_attestation","attest_author":"https://pith.science/pith/PGUUBAJSEWPX27USZLEG723UEQ/action/author_attestation","sign_citation":"https://pith.science/pith/PGUUBAJSEWPX27USZLEG723UEQ/action/citation_signature","submit_replication":"https://pith.science/pith/PGUUBAJSEWPX27USZLEG723UEQ/action/replication_record"}},"created_at":"2026-05-17T23:53:35.890430+00:00","updated_at":"2026-05-17T23:53:35.890430+00:00"}