{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:Z2IYL65URHQ6ZPOXQ4E4XPPSSB","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":"97548bb986113bedccd6376bca2eef31acb37152512f7351b79066490b3a0b48","cross_cats_sorted":["math.DG","math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-05-11T08:27:19Z","title_canon_sha256":"91f8a904bcb968955160e359cf2defe59199267b055cdf8aaa1c7d33c93fd3ec"},"schema_version":"1.0","source":{"id":"1705.04067","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.04067","created_at":"2026-05-18T00:44:41Z"},{"alias_kind":"arxiv_version","alias_value":"1705.04067v1","created_at":"2026-05-18T00:44:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.04067","created_at":"2026-05-18T00:44:41Z"},{"alias_kind":"pith_short_12","alias_value":"Z2IYL65URHQ6","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"Z2IYL65URHQ6ZPOX","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"Z2IYL65U","created_at":"2026-05-18T12:31:59Z"}],"graph_snapshots":[{"event_id":"sha256:7d842331868119dffcb057fb9312a9916b240d53a85c7dafb62c1bcc2218233d","target":"graph","created_at":"2026-05-18T00:44:41Z","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 article, we first describe a normal form of real-analytic, Levi-nondegenerate submanifolds of $C^N$ of codimension d $\\ge$ 1 under the action of formal biholomorphisms, that is, of perturbations of Levi-nondegenerate hyperquadrics. We give a sufficient condition on the formal normal form that ensures that the normalizing transformation to this normal form is holomorphic. We show that our techniques can be adapted in the case d = 1 in order to obtain a new and direct proof of Chern-Moser normal form theorem.","authors_text":"Bernhard Lamel, Laurent Stolovitch (JAD)","cross_cats":["math.DG","math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-05-11T08:27:19Z","title":"Convergence of the Chern-Moser-Beloshapka normal forms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.04067","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:b2dab3f30d565c073d417e625003bbf67b6482009ffdc91c62e1c6128eee432d","target":"record","created_at":"2026-05-18T00:44:41Z","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":"97548bb986113bedccd6376bca2eef31acb37152512f7351b79066490b3a0b48","cross_cats_sorted":["math.DG","math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-05-11T08:27:19Z","title_canon_sha256":"91f8a904bcb968955160e359cf2defe59199267b055cdf8aaa1c7d33c93fd3ec"},"schema_version":"1.0","source":{"id":"1705.04067","kind":"arxiv","version":1}},"canonical_sha256":"ce9185fbb489e1ecbdd78709cbbdf29057c49e9961d9141463d9008544ad7fb0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ce9185fbb489e1ecbdd78709cbbdf29057c49e9961d9141463d9008544ad7fb0","first_computed_at":"2026-05-18T00:44:41.488208Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:41.488208Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fRojRIgEK3A96jy2+9v0XTriKcMDwCBup4PmyO3GCJTxP7+L0mESXdbAeW73+PlQD5VqGmEa73F19RWpG4btBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:41.488795Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.04067","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b2dab3f30d565c073d417e625003bbf67b6482009ffdc91c62e1c6128eee432d","sha256:7d842331868119dffcb057fb9312a9916b240d53a85c7dafb62c1bcc2218233d"],"state_sha256":"05b2964c4b4a3b568ecf6cc794b0124ec582c549dc64c69cd645aad9fc02f10f"}