{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:5I3DCLAEAA3ZBBC4TH54MZ4Q27","short_pith_number":"pith:5I3DCLAE","schema_version":"1.0","canonical_sha256":"ea36312c04003790845c99fbc66790d7ce327363326f8551f33b88793b99fbae","source":{"kind":"arxiv","id":"2411.16966","version":2},"attestation_state":"computed","paper":{"title":"On distortion of quasiregular mappings of the upper half plane","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Masayo Fujimura, Matti Vuorinen","submitted_at":"2024-11-25T22:16:27Z","abstract_excerpt":"We prove a sharp result for the distortion of a hyperbolic type metric under $K$-quasiregular mappings of the upper half plane. The proof makes use of a new kind of Bernoulli inequality and the Schwarz lemma for quasiregular mappings."},"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":"2411.16966","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2024-11-25T22:16:27Z","cross_cats_sorted":[],"title_canon_sha256":"f9df064fbeb27eb7cdd810b9c5ba941c7c3be836de6224780b06fe14b8112aee","abstract_canon_sha256":"ce30549cc3cf2fb98a0ca93d3b07d55d9ac610a179b7517e2163366ac31f985e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:30:27.258759Z","signature_b64":"SVGz2CahEMtzKjPEz7Be+xk9B1Zo/zvVfyOuObSlV/XOV4iyT7hdpprQVWbYcu0KPWhakCbKfs5OPVH7hz5LCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ea36312c04003790845c99fbc66790d7ce327363326f8551f33b88793b99fbae","last_reissued_at":"2026-07-05T10:30:27.258245Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:30:27.258245Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On distortion of quasiregular mappings of the upper half plane","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Masayo Fujimura, Matti Vuorinen","submitted_at":"2024-11-25T22:16:27Z","abstract_excerpt":"We prove a sharp result for the distortion of a hyperbolic type metric under $K$-quasiregular mappings of the upper half plane. The proof makes use of a new kind of Bernoulli inequality and the Schwarz lemma for quasiregular mappings."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.16966","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2411.16966/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2411.16966","created_at":"2026-07-05T10:30:27.258322+00:00"},{"alias_kind":"arxiv_version","alias_value":"2411.16966v2","created_at":"2026-07-05T10:30:27.258322+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.16966","created_at":"2026-07-05T10:30:27.258322+00:00"},{"alias_kind":"pith_short_12","alias_value":"5I3DCLAEAA3Z","created_at":"2026-07-05T10:30:27.258322+00:00"},{"alias_kind":"pith_short_16","alias_value":"5I3DCLAEAA3ZBBC4","created_at":"2026-07-05T10:30:27.258322+00:00"},{"alias_kind":"pith_short_8","alias_value":"5I3DCLAE","created_at":"2026-07-05T10:30:27.258322+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2412.20560","citing_title":"Generalizations of four hyperbolic-type metrics and Gromov hyperbolicity","ref_index":7,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5I3DCLAEAA3ZBBC4TH54MZ4Q27","json":"https://pith.science/pith/5I3DCLAEAA3ZBBC4TH54MZ4Q27.json","graph_json":"https://pith.science/api/pith-number/5I3DCLAEAA3ZBBC4TH54MZ4Q27/graph.json","events_json":"https://pith.science/api/pith-number/5I3DCLAEAA3ZBBC4TH54MZ4Q27/events.json","paper":"https://pith.science/paper/5I3DCLAE"},"agent_actions":{"view_html":"https://pith.science/pith/5I3DCLAEAA3ZBBC4TH54MZ4Q27","download_json":"https://pith.science/pith/5I3DCLAEAA3ZBBC4TH54MZ4Q27.json","view_paper":"https://pith.science/paper/5I3DCLAE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2411.16966&json=true","fetch_graph":"https://pith.science/api/pith-number/5I3DCLAEAA3ZBBC4TH54MZ4Q27/graph.json","fetch_events":"https://pith.science/api/pith-number/5I3DCLAEAA3ZBBC4TH54MZ4Q27/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5I3DCLAEAA3ZBBC4TH54MZ4Q27/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5I3DCLAEAA3ZBBC4TH54MZ4Q27/action/storage_attestation","attest_author":"https://pith.science/pith/5I3DCLAEAA3ZBBC4TH54MZ4Q27/action/author_attestation","sign_citation":"https://pith.science/pith/5I3DCLAEAA3ZBBC4TH54MZ4Q27/action/citation_signature","submit_replication":"https://pith.science/pith/5I3DCLAEAA3ZBBC4TH54MZ4Q27/action/replication_record"}},"created_at":"2026-07-05T10:30:27.258322+00:00","updated_at":"2026-07-05T10:30:27.258322+00:00"}