{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:EDSJKFJ6RL6PIW4U5ZLY7YKFLM","short_pith_number":"pith:EDSJKFJ6","schema_version":"1.0","canonical_sha256":"20e495153e8afcf45b94ee578fe1455b05a2b2541ca57c12fc66581775d71542","source":{"kind":"arxiv","id":"1211.5834","version":6},"attestation_state":"computed","paper":{"title":"The Miniowitz and Vuorinen theorems for the mappings with non-bounded characteristics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Evgeny Sevost'yanov","submitted_at":"2012-11-26T01:27:05Z","abstract_excerpt":"The present paper is devoted to the study of classes of mappings with non--bounded characteristics of quasiconformality. It is proved that the normal families of mappings distorting the families of mappings in ${\\Bbb R}^n$ by special way, have the logarithmic order of growth in the neighborhood of every point. There are proved some sufficient conditions of normality of such mappings $f:D\\rightarrow \\bar{{\\Bbb R}^n},$ $n\\ge 2,$ omitting the values of some set $E_f$ with some constraints of the type $c(E_f)\\ge \\delta,$ $\\delta\\in {\\Bbb R},$ where $c(\\cdot)$ is the special set function."},"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":"1211.5834","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2012-11-26T01:27:05Z","cross_cats_sorted":[],"title_canon_sha256":"e836b2777972db2291acc50b76d198809326e53848ed08d64133ba913658d15a","abstract_canon_sha256":"987147dea59f24839adbd2e4fa01d6783b189033f28c7e152f5df33c0dadea19"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:14:19.937230Z","signature_b64":"QQ0dba0d5LBLcsVJlcURSrce6FDUe0K3fXR50Tdzr9UMQH7vI/o2WC4UuFGTk5nWWtk/OnhifjvlqACvterQAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"20e495153e8afcf45b94ee578fe1455b05a2b2541ca57c12fc66581775d71542","last_reissued_at":"2026-05-18T03:14:19.936426Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:14:19.936426Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Miniowitz and Vuorinen theorems for the mappings with non-bounded characteristics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Evgeny Sevost'yanov","submitted_at":"2012-11-26T01:27:05Z","abstract_excerpt":"The present paper is devoted to the study of classes of mappings with non--bounded characteristics of quasiconformality. It is proved that the normal families of mappings distorting the families of mappings in ${\\Bbb R}^n$ by special way, have the logarithmic order of growth in the neighborhood of every point. There are proved some sufficient conditions of normality of such mappings $f:D\\rightarrow \\bar{{\\Bbb R}^n},$ $n\\ge 2,$ omitting the values of some set $E_f$ with some constraints of the type $c(E_f)\\ge \\delta,$ $\\delta\\in {\\Bbb R},$ where $c(\\cdot)$ is the special set function."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.5834","kind":"arxiv","version":6},"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":"1211.5834","created_at":"2026-05-18T03:14:19.936547+00:00"},{"alias_kind":"arxiv_version","alias_value":"1211.5834v6","created_at":"2026-05-18T03:14:19.936547+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.5834","created_at":"2026-05-18T03:14:19.936547+00:00"},{"alias_kind":"pith_short_12","alias_value":"EDSJKFJ6RL6P","created_at":"2026-05-18T12:27:04.183437+00:00"},{"alias_kind":"pith_short_16","alias_value":"EDSJKFJ6RL6PIW4U","created_at":"2026-05-18T12:27:04.183437+00:00"},{"alias_kind":"pith_short_8","alias_value":"EDSJKFJ6","created_at":"2026-05-18T12:27:04.183437+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/EDSJKFJ6RL6PIW4U5ZLY7YKFLM","json":"https://pith.science/pith/EDSJKFJ6RL6PIW4U5ZLY7YKFLM.json","graph_json":"https://pith.science/api/pith-number/EDSJKFJ6RL6PIW4U5ZLY7YKFLM/graph.json","events_json":"https://pith.science/api/pith-number/EDSJKFJ6RL6PIW4U5ZLY7YKFLM/events.json","paper":"https://pith.science/paper/EDSJKFJ6"},"agent_actions":{"view_html":"https://pith.science/pith/EDSJKFJ6RL6PIW4U5ZLY7YKFLM","download_json":"https://pith.science/pith/EDSJKFJ6RL6PIW4U5ZLY7YKFLM.json","view_paper":"https://pith.science/paper/EDSJKFJ6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1211.5834&json=true","fetch_graph":"https://pith.science/api/pith-number/EDSJKFJ6RL6PIW4U5ZLY7YKFLM/graph.json","fetch_events":"https://pith.science/api/pith-number/EDSJKFJ6RL6PIW4U5ZLY7YKFLM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EDSJKFJ6RL6PIW4U5ZLY7YKFLM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EDSJKFJ6RL6PIW4U5ZLY7YKFLM/action/storage_attestation","attest_author":"https://pith.science/pith/EDSJKFJ6RL6PIW4U5ZLY7YKFLM/action/author_attestation","sign_citation":"https://pith.science/pith/EDSJKFJ6RL6PIW4U5ZLY7YKFLM/action/citation_signature","submit_replication":"https://pith.science/pith/EDSJKFJ6RL6PIW4U5ZLY7YKFLM/action/replication_record"}},"created_at":"2026-05-18T03:14:19.936547+00:00","updated_at":"2026-05-18T03:14:19.936547+00:00"}