{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:CKWIFP5W4EIT62ELFLCMXATWYK","short_pith_number":"pith:CKWIFP5W","schema_version":"1.0","canonical_sha256":"12ac82bfb6e1113f688b2ac4cb8276c2813d2cced178078f2d7f6772b3c20c22","source":{"kind":"arxiv","id":"0810.5295","version":1},"attestation_state":"computed","paper":{"title":"Poincar\\'e lemma and global homotopy formulas with sharp anisotropic H\\\"older estimates in q-concave CR manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Christine Laurent-Thi\\'ebaut (IF)","submitted_at":"2008-10-29T14:52:14Z","abstract_excerpt":"We prove sharp anisotropic H\\\"older estimates for the local solutions of the tangential Cauchy-Riemann equation in q-concave CR manifolds and we derive the same kind of estimates for global solutions when the manifold is compact."},"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":"0810.5295","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2008-10-29T14:52:14Z","cross_cats_sorted":[],"title_canon_sha256":"ec597dafcb35a4f1a6dab4618d40fd32c402a16dd16f38f9b11d452276c8626b","abstract_canon_sha256":"11f9745e97a0513918324129889364ebc03640c6f35f764367076fe8da972b8b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:46:45.891795Z","signature_b64":"2glC7304bn8eCV6mIY/qJNVxKSFhdLiP0R2g8wKf3qT11kPPW3xPMaslTVCofsrGlhhvJOE4/0m5hm6kwfibDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"12ac82bfb6e1113f688b2ac4cb8276c2813d2cced178078f2d7f6772b3c20c22","last_reissued_at":"2026-05-18T03:46:45.890961Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:46:45.890961Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Poincar\\'e lemma and global homotopy formulas with sharp anisotropic H\\\"older estimates in q-concave CR manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Christine Laurent-Thi\\'ebaut (IF)","submitted_at":"2008-10-29T14:52:14Z","abstract_excerpt":"We prove sharp anisotropic H\\\"older estimates for the local solutions of the tangential Cauchy-Riemann equation in q-concave CR manifolds and we derive the same kind of estimates for global solutions when the manifold is compact."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0810.5295","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"0810.5295","created_at":"2026-05-18T03:46:45.891097+00:00"},{"alias_kind":"arxiv_version","alias_value":"0810.5295v1","created_at":"2026-05-18T03:46:45.891097+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0810.5295","created_at":"2026-05-18T03:46:45.891097+00:00"},{"alias_kind":"pith_short_12","alias_value":"CKWIFP5W4EIT","created_at":"2026-05-18T12:25:57.157939+00:00"},{"alias_kind":"pith_short_16","alias_value":"CKWIFP5W4EIT62EL","created_at":"2026-05-18T12:25:57.157939+00:00"},{"alias_kind":"pith_short_8","alias_value":"CKWIFP5W","created_at":"2026-05-18T12:25:57.157939+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/CKWIFP5W4EIT62ELFLCMXATWYK","json":"https://pith.science/pith/CKWIFP5W4EIT62ELFLCMXATWYK.json","graph_json":"https://pith.science/api/pith-number/CKWIFP5W4EIT62ELFLCMXATWYK/graph.json","events_json":"https://pith.science/api/pith-number/CKWIFP5W4EIT62ELFLCMXATWYK/events.json","paper":"https://pith.science/paper/CKWIFP5W"},"agent_actions":{"view_html":"https://pith.science/pith/CKWIFP5W4EIT62ELFLCMXATWYK","download_json":"https://pith.science/pith/CKWIFP5W4EIT62ELFLCMXATWYK.json","view_paper":"https://pith.science/paper/CKWIFP5W","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0810.5295&json=true","fetch_graph":"https://pith.science/api/pith-number/CKWIFP5W4EIT62ELFLCMXATWYK/graph.json","fetch_events":"https://pith.science/api/pith-number/CKWIFP5W4EIT62ELFLCMXATWYK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CKWIFP5W4EIT62ELFLCMXATWYK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CKWIFP5W4EIT62ELFLCMXATWYK/action/storage_attestation","attest_author":"https://pith.science/pith/CKWIFP5W4EIT62ELFLCMXATWYK/action/author_attestation","sign_citation":"https://pith.science/pith/CKWIFP5W4EIT62ELFLCMXATWYK/action/citation_signature","submit_replication":"https://pith.science/pith/CKWIFP5W4EIT62ELFLCMXATWYK/action/replication_record"}},"created_at":"2026-05-18T03:46:45.891097+00:00","updated_at":"2026-05-18T03:46:45.891097+00:00"}