{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:7FRQWBHP3VP62U2VWINZDE4MSD","short_pith_number":"pith:7FRQWBHP","schema_version":"1.0","canonical_sha256":"f9630b04efdd5fed5355b21b91938c90f5f8ad3f22d79fb9b5da41e1c495af90","source":{"kind":"arxiv","id":"1103.1030","version":1},"attestation_state":"computed","paper":{"title":"Quasi-nearly subharmonic functions and quasiconformal mappings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Pekka Koskela, Vesna Manojlovi\\'c","submitted_at":"2011-03-05T09:29:07Z","abstract_excerpt":"We prove that the composition of a quasi-nearly subharmonic function and a quasiregular mappings of bounded multiplicity is quasi-nearly subharmonic. Also, we prove that if $u\\circ f$ is quasi-nearly subharmonic for all quasi-nearly subharmonic $u$ and $f$ satisfies some additional conditions, then $f$ is quasiconformal. Similar results are further established for the class of regularly oscillating functions."},"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":"1103.1030","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2011-03-05T09:29:07Z","cross_cats_sorted":[],"title_canon_sha256":"c08a70312891e98c0726ad1fe6ba471356b80b4efcb4ad3729eb537efd2a4e20","abstract_canon_sha256":"de922453c740b3823a6a25d0b951fdccae7e803c8b11fa98f548b0cff8e7f153"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:27:15.984230Z","signature_b64":"NuVix8Y5EGmoFI9kocmEXaoKzQUJHxV7O3urY9oEi2ee1i+Dc1OCAGOX4pIL5itOpCakKvjcgt9VEQQ6VplZAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f9630b04efdd5fed5355b21b91938c90f5f8ad3f22d79fb9b5da41e1c495af90","last_reissued_at":"2026-05-18T04:27:15.983549Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:27:15.983549Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quasi-nearly subharmonic functions and quasiconformal mappings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Pekka Koskela, Vesna Manojlovi\\'c","submitted_at":"2011-03-05T09:29:07Z","abstract_excerpt":"We prove that the composition of a quasi-nearly subharmonic function and a quasiregular mappings of bounded multiplicity is quasi-nearly subharmonic. Also, we prove that if $u\\circ f$ is quasi-nearly subharmonic for all quasi-nearly subharmonic $u$ and $f$ satisfies some additional conditions, then $f$ is quasiconformal. Similar results are further established for the class of regularly oscillating functions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.1030","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":"1103.1030","created_at":"2026-05-18T04:27:15.983655+00:00"},{"alias_kind":"arxiv_version","alias_value":"1103.1030v1","created_at":"2026-05-18T04:27:15.983655+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.1030","created_at":"2026-05-18T04:27:15.983655+00:00"},{"alias_kind":"pith_short_12","alias_value":"7FRQWBHP3VP6","created_at":"2026-05-18T12:26:22.705136+00:00"},{"alias_kind":"pith_short_16","alias_value":"7FRQWBHP3VP62U2V","created_at":"2026-05-18T12:26:22.705136+00:00"},{"alias_kind":"pith_short_8","alias_value":"7FRQWBHP","created_at":"2026-05-18T12:26:22.705136+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/7FRQWBHP3VP62U2VWINZDE4MSD","json":"https://pith.science/pith/7FRQWBHP3VP62U2VWINZDE4MSD.json","graph_json":"https://pith.science/api/pith-number/7FRQWBHP3VP62U2VWINZDE4MSD/graph.json","events_json":"https://pith.science/api/pith-number/7FRQWBHP3VP62U2VWINZDE4MSD/events.json","paper":"https://pith.science/paper/7FRQWBHP"},"agent_actions":{"view_html":"https://pith.science/pith/7FRQWBHP3VP62U2VWINZDE4MSD","download_json":"https://pith.science/pith/7FRQWBHP3VP62U2VWINZDE4MSD.json","view_paper":"https://pith.science/paper/7FRQWBHP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1103.1030&json=true","fetch_graph":"https://pith.science/api/pith-number/7FRQWBHP3VP62U2VWINZDE4MSD/graph.json","fetch_events":"https://pith.science/api/pith-number/7FRQWBHP3VP62U2VWINZDE4MSD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7FRQWBHP3VP62U2VWINZDE4MSD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7FRQWBHP3VP62U2VWINZDE4MSD/action/storage_attestation","attest_author":"https://pith.science/pith/7FRQWBHP3VP62U2VWINZDE4MSD/action/author_attestation","sign_citation":"https://pith.science/pith/7FRQWBHP3VP62U2VWINZDE4MSD/action/citation_signature","submit_replication":"https://pith.science/pith/7FRQWBHP3VP62U2VWINZDE4MSD/action/replication_record"}},"created_at":"2026-05-18T04:27:15.983655+00:00","updated_at":"2026-05-18T04:27:15.983655+00:00"}