{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:HLEQA2M3TIB3ELC2PXYKEFYNTA","short_pith_number":"pith:HLEQA2M3","canonical_record":{"source":{"id":"1808.02685","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-08-08T09:23:20Z","cross_cats_sorted":[],"title_canon_sha256":"423f3abda418e2f33d18e788e9e722ff576d2cc6f4416d3f5017b11ac17274d9","abstract_canon_sha256":"43373f6f1ad861a2e3273c416a0ac340a552554d3c68a5b986affbb294d08f02"},"schema_version":"1.0"},"canonical_sha256":"3ac900699b9a03b22c5a7df0a2170d982d18c66645dd38b2a27ea6df56bafc60","source":{"kind":"arxiv","id":"1808.02685","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.02685","created_at":"2026-05-18T00:08:34Z"},{"alias_kind":"arxiv_version","alias_value":"1808.02685v1","created_at":"2026-05-18T00:08:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.02685","created_at":"2026-05-18T00:08:34Z"},{"alias_kind":"pith_short_12","alias_value":"HLEQA2M3TIB3","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"HLEQA2M3TIB3ELC2","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"HLEQA2M3","created_at":"2026-05-18T12:32:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:HLEQA2M3TIB3ELC2PXYKEFYNTA","target":"record","payload":{"canonical_record":{"source":{"id":"1808.02685","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-08-08T09:23:20Z","cross_cats_sorted":[],"title_canon_sha256":"423f3abda418e2f33d18e788e9e722ff576d2cc6f4416d3f5017b11ac17274d9","abstract_canon_sha256":"43373f6f1ad861a2e3273c416a0ac340a552554d3c68a5b986affbb294d08f02"},"schema_version":"1.0"},"canonical_sha256":"3ac900699b9a03b22c5a7df0a2170d982d18c66645dd38b2a27ea6df56bafc60","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:08:34.637397Z","signature_b64":"MFym7UX9KESozceWEgr8h07xD4oVl8FN4gdUR+FFey+55gN2F2Ocv5N5jsit7mvAkbEFuPHbPirIb81uxQ2nAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3ac900699b9a03b22c5a7df0a2170d982d18c66645dd38b2a27ea6df56bafc60","last_reissued_at":"2026-05-18T00:08:34.636668Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:08:34.636668Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1808.02685","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:08:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lnvMpmFhniEBZ6tJawmhnC659cTZE2L387ncAPSPOvg8KAQwV+uDawY9cAjWIqrlvvP4vtZD9aysfLKLYJzPCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T14:21:21.983598Z"},"content_sha256":"b383cd9e11d7a22850e6b4efbdd7385dbde6d788d53dd8b0e246e2be67782cf1","schema_version":"1.0","event_id":"sha256:b383cd9e11d7a22850e6b4efbdd7385dbde6d788d53dd8b0e246e2be67782cf1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:HLEQA2M3TIB3ELC2PXYKEFYNTA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Ultradifferentiable CR manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Stefan F\\\"urd\\\"os","submitted_at":"2018-08-08T09:23:20Z","abstract_excerpt":"In this article the notion of ultradifferentiable CR manifold is introduced and an ultradifferentiable regularity result for finitely nondegenerate CR mappings is proven. Here ultradifferentiable means with respect to Denjoy-Carleman classes defined by weight sequences. Furthermore the regularity of infinitesimal CR automorphisms on ultradifferentiable abstract CR manifolds is investigated."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.02685","kind":"arxiv","version":1},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:08:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Soig/a4i2OucZ85JVIDvYKVidtMG2xqB3XEVYPxBtEncGa4aCnHjzBImG5Tviu3OBrLQDe95pA6FwalayOUZDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T14:21:21.984251Z"},"content_sha256":"47bbaf2ead5b52ea9f5dc603c9f0f9156121d9be45ab9a3b9d1fd1d34939caf8","schema_version":"1.0","event_id":"sha256:47bbaf2ead5b52ea9f5dc603c9f0f9156121d9be45ab9a3b9d1fd1d34939caf8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HLEQA2M3TIB3ELC2PXYKEFYNTA/bundle.json","state_url":"https://pith.science/pith/HLEQA2M3TIB3ELC2PXYKEFYNTA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HLEQA2M3TIB3ELC2PXYKEFYNTA/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-22T14:21:21Z","links":{"resolver":"https://pith.science/pith/HLEQA2M3TIB3ELC2PXYKEFYNTA","bundle":"https://pith.science/pith/HLEQA2M3TIB3ELC2PXYKEFYNTA/bundle.json","state":"https://pith.science/pith/HLEQA2M3TIB3ELC2PXYKEFYNTA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HLEQA2M3TIB3ELC2PXYKEFYNTA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:HLEQA2M3TIB3ELC2PXYKEFYNTA","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":"43373f6f1ad861a2e3273c416a0ac340a552554d3c68a5b986affbb294d08f02","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-08-08T09:23:20Z","title_canon_sha256":"423f3abda418e2f33d18e788e9e722ff576d2cc6f4416d3f5017b11ac17274d9"},"schema_version":"1.0","source":{"id":"1808.02685","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.02685","created_at":"2026-05-18T00:08:34Z"},{"alias_kind":"arxiv_version","alias_value":"1808.02685v1","created_at":"2026-05-18T00:08:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.02685","created_at":"2026-05-18T00:08:34Z"},{"alias_kind":"pith_short_12","alias_value":"HLEQA2M3TIB3","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"HLEQA2M3TIB3ELC2","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"HLEQA2M3","created_at":"2026-05-18T12:32:28Z"}],"graph_snapshots":[{"event_id":"sha256:47bbaf2ead5b52ea9f5dc603c9f0f9156121d9be45ab9a3b9d1fd1d34939caf8","target":"graph","created_at":"2026-05-18T00:08:34Z","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 the notion of ultradifferentiable CR manifold is introduced and an ultradifferentiable regularity result for finitely nondegenerate CR mappings is proven. Here ultradifferentiable means with respect to Denjoy-Carleman classes defined by weight sequences. Furthermore the regularity of infinitesimal CR automorphisms on ultradifferentiable abstract CR manifolds is investigated.","authors_text":"Stefan F\\\"urd\\\"os","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-08-08T09:23:20Z","title":"Ultradifferentiable CR manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.02685","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:b383cd9e11d7a22850e6b4efbdd7385dbde6d788d53dd8b0e246e2be67782cf1","target":"record","created_at":"2026-05-18T00:08:34Z","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":"43373f6f1ad861a2e3273c416a0ac340a552554d3c68a5b986affbb294d08f02","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-08-08T09:23:20Z","title_canon_sha256":"423f3abda418e2f33d18e788e9e722ff576d2cc6f4416d3f5017b11ac17274d9"},"schema_version":"1.0","source":{"id":"1808.02685","kind":"arxiv","version":1}},"canonical_sha256":"3ac900699b9a03b22c5a7df0a2170d982d18c66645dd38b2a27ea6df56bafc60","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3ac900699b9a03b22c5a7df0a2170d982d18c66645dd38b2a27ea6df56bafc60","first_computed_at":"2026-05-18T00:08:34.636668Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:08:34.636668Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MFym7UX9KESozceWEgr8h07xD4oVl8FN4gdUR+FFey+55gN2F2Ocv5N5jsit7mvAkbEFuPHbPirIb81uxQ2nAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:08:34.637397Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.02685","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b383cd9e11d7a22850e6b4efbdd7385dbde6d788d53dd8b0e246e2be67782cf1","sha256:47bbaf2ead5b52ea9f5dc603c9f0f9156121d9be45ab9a3b9d1fd1d34939caf8"],"state_sha256":"726c3c47872cc3bce050156105ceaff11fccc2e34b5eadcde02a8f74cbea4150"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O5aCmZMLA9/1hZSX2A+qHkGO1dDorz5WhcOqT0LR/jxugVcSJYGuuKhKc+O43tD+Nl2yzhLayAMmftbsoGSxBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T14:21:21.987128Z","bundle_sha256":"01cd2044edb290b4007a6073ce2265ff6d2fcbc910aea3e2b10200b2dcb24e1a"}}