{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:XBFDODFK745MFKCSMZIMUGEHII","short_pith_number":"pith:XBFDODFK","schema_version":"1.0","canonical_sha256":"b84a370caaff3ac2a8526650ca1887423da7c09ecf21694f7e000824eb938182","source":{"kind":"arxiv","id":"1409.7506","version":2},"attestation_state":"computed","paper":{"title":"Convergent normal form and canonical connection for hypersurfaces of finite type in $\\mathbb C^2$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Dmitri Zaitsev, Ilya Kossovskiy","submitted_at":"2014-09-26T09:12:19Z","abstract_excerpt":"We study the holomorphic equivalence problem for finite type hypersurfaces in $\\mathbb C^2$. We discover a geometric condition, which is sufficient for the existence of a natural convergent normal form for a finite type hypersurface. We also provide an explicit construction of such a normal form. As an application, we construct a canonical connection for a large class of finite type hypersurfaces. To the best of our knowledge, this gives the first construction of an invariant connection for Levi-degenerate hypersurfaces in $\\mathbb C^2$."},"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":"1409.7506","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-09-26T09:12:19Z","cross_cats_sorted":[],"title_canon_sha256":"fa8084258e69b74b59d7f183727f9c9e0eb38bb9539fd37f99e76004f43144e1","abstract_canon_sha256":"f59686515806426f29db63e8ba4a31b59d1f3a727c016fbe1da6b0c778cae354"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:55:53.168042Z","signature_b64":"lAFdxkIuziDC4zUmlM3x4ePh+GH3diRmmdtLh8jbmxvWIF+AUGX33dnmcexcl63RV4Rbbwed7AFNrbucpaA8Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b84a370caaff3ac2a8526650ca1887423da7c09ecf21694f7e000824eb938182","last_reissued_at":"2026-05-18T01:55:53.167617Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:55:53.167617Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Convergent normal form and canonical connection for hypersurfaces of finite type in $\\mathbb C^2$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Dmitri Zaitsev, Ilya Kossovskiy","submitted_at":"2014-09-26T09:12:19Z","abstract_excerpt":"We study the holomorphic equivalence problem for finite type hypersurfaces in $\\mathbb C^2$. We discover a geometric condition, which is sufficient for the existence of a natural convergent normal form for a finite type hypersurface. We also provide an explicit construction of such a normal form. As an application, we construct a canonical connection for a large class of finite type hypersurfaces. To the best of our knowledge, this gives the first construction of an invariant connection for Levi-degenerate hypersurfaces in $\\mathbb C^2$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.7506","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":"1409.7506","created_at":"2026-05-18T01:55:53.167679+00:00"},{"alias_kind":"arxiv_version","alias_value":"1409.7506v2","created_at":"2026-05-18T01:55:53.167679+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.7506","created_at":"2026-05-18T01:55:53.167679+00:00"},{"alias_kind":"pith_short_12","alias_value":"XBFDODFK745M","created_at":"2026-05-18T12:28:57.508820+00:00"},{"alias_kind":"pith_short_16","alias_value":"XBFDODFK745MFKCS","created_at":"2026-05-18T12:28:57.508820+00:00"},{"alias_kind":"pith_short_8","alias_value":"XBFDODFK","created_at":"2026-05-18T12:28:57.508820+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/XBFDODFK745MFKCSMZIMUGEHII","json":"https://pith.science/pith/XBFDODFK745MFKCSMZIMUGEHII.json","graph_json":"https://pith.science/api/pith-number/XBFDODFK745MFKCSMZIMUGEHII/graph.json","events_json":"https://pith.science/api/pith-number/XBFDODFK745MFKCSMZIMUGEHII/events.json","paper":"https://pith.science/paper/XBFDODFK"},"agent_actions":{"view_html":"https://pith.science/pith/XBFDODFK745MFKCSMZIMUGEHII","download_json":"https://pith.science/pith/XBFDODFK745MFKCSMZIMUGEHII.json","view_paper":"https://pith.science/paper/XBFDODFK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1409.7506&json=true","fetch_graph":"https://pith.science/api/pith-number/XBFDODFK745MFKCSMZIMUGEHII/graph.json","fetch_events":"https://pith.science/api/pith-number/XBFDODFK745MFKCSMZIMUGEHII/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XBFDODFK745MFKCSMZIMUGEHII/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XBFDODFK745MFKCSMZIMUGEHII/action/storage_attestation","attest_author":"https://pith.science/pith/XBFDODFK745MFKCSMZIMUGEHII/action/author_attestation","sign_citation":"https://pith.science/pith/XBFDODFK745MFKCSMZIMUGEHII/action/citation_signature","submit_replication":"https://pith.science/pith/XBFDODFK745MFKCSMZIMUGEHII/action/replication_record"}},"created_at":"2026-05-18T01:55:53.167679+00:00","updated_at":"2026-05-18T01:55:53.167679+00:00"}