{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:HNA4U6QZFM4EX7FJ7E3YDLAKQN","short_pith_number":"pith:HNA4U6QZ","schema_version":"1.0","canonical_sha256":"3b41ca7a192b384bfca9f93781ac0a837f3b56b675dbd3fe80171220653564c3","source":{"kind":"arxiv","id":"1703.03730","version":6},"attestation_state":"computed","paper":{"title":"On boundary extension of mappings in metric spaces in terms of prime ends","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"E. Sevost'yanov","submitted_at":"2017-03-10T15:51:29Z","abstract_excerpt":"We study the boundary behavior of the so-called ring $Q$-mappings obtained as a natural generalization of mappings with bounded distortion. We establish a series of conditions imposed on a function $Q(x)$ for the continuous extension of given mappings with respect to prime ends in domains with regular boundaries in metric spaces."},"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":"1703.03730","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-03-10T15:51:29Z","cross_cats_sorted":[],"title_canon_sha256":"9e7959808050716c6bf036211b8546c97e0037210f8b797ecc8f5e49d5b2f4ce","abstract_canon_sha256":"22541e6008b204faedeb139101322b949bc3e691622d8bbdd0c08165b771c549"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:27:00.660782Z","signature_b64":"Ft6WZk1PmsdhhlkpN2JdBPssoJve8MHEvxZQFCLnyGilIomHfdud7Iqo9ZcpARxUhDkVhRH46G64QCgpJ22cBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3b41ca7a192b384bfca9f93781ac0a837f3b56b675dbd3fe80171220653564c3","last_reissued_at":"2026-05-18T00:27:00.660284Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:27:00.660284Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On boundary extension of mappings in metric spaces in terms of prime ends","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"E. Sevost'yanov","submitted_at":"2017-03-10T15:51:29Z","abstract_excerpt":"We study the boundary behavior of the so-called ring $Q$-mappings obtained as a natural generalization of mappings with bounded distortion. We establish a series of conditions imposed on a function $Q(x)$ for the continuous extension of given mappings with respect to prime ends in domains with regular boundaries in metric spaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.03730","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":"1703.03730","created_at":"2026-05-18T00:27:00.660371+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.03730v6","created_at":"2026-05-18T00:27:00.660371+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.03730","created_at":"2026-05-18T00:27:00.660371+00:00"},{"alias_kind":"pith_short_12","alias_value":"HNA4U6QZFM4E","created_at":"2026-05-18T12:31:18.294218+00:00"},{"alias_kind":"pith_short_16","alias_value":"HNA4U6QZFM4EX7FJ","created_at":"2026-05-18T12:31:18.294218+00:00"},{"alias_kind":"pith_short_8","alias_value":"HNA4U6QZ","created_at":"2026-05-18T12:31:18.294218+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/HNA4U6QZFM4EX7FJ7E3YDLAKQN","json":"https://pith.science/pith/HNA4U6QZFM4EX7FJ7E3YDLAKQN.json","graph_json":"https://pith.science/api/pith-number/HNA4U6QZFM4EX7FJ7E3YDLAKQN/graph.json","events_json":"https://pith.science/api/pith-number/HNA4U6QZFM4EX7FJ7E3YDLAKQN/events.json","paper":"https://pith.science/paper/HNA4U6QZ"},"agent_actions":{"view_html":"https://pith.science/pith/HNA4U6QZFM4EX7FJ7E3YDLAKQN","download_json":"https://pith.science/pith/HNA4U6QZFM4EX7FJ7E3YDLAKQN.json","view_paper":"https://pith.science/paper/HNA4U6QZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.03730&json=true","fetch_graph":"https://pith.science/api/pith-number/HNA4U6QZFM4EX7FJ7E3YDLAKQN/graph.json","fetch_events":"https://pith.science/api/pith-number/HNA4U6QZFM4EX7FJ7E3YDLAKQN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HNA4U6QZFM4EX7FJ7E3YDLAKQN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HNA4U6QZFM4EX7FJ7E3YDLAKQN/action/storage_attestation","attest_author":"https://pith.science/pith/HNA4U6QZFM4EX7FJ7E3YDLAKQN/action/author_attestation","sign_citation":"https://pith.science/pith/HNA4U6QZFM4EX7FJ7E3YDLAKQN/action/citation_signature","submit_replication":"https://pith.science/pith/HNA4U6QZFM4EX7FJ7E3YDLAKQN/action/replication_record"}},"created_at":"2026-05-18T00:27:00.660371+00:00","updated_at":"2026-05-18T00:27:00.660371+00:00"}