{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:Z22P77DGLR24MPW2LGXJ3XFYIW","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"87869dba3ff8d3e16eb4bace6e04e1b4ca67db573cb97f88c87697b734fc595a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-10-30T18:11:29Z","title_canon_sha256":"7b20960113c99699d499499af5369e482c7634656f70d231ec060fca3bde2e34"},"schema_version":"1.0","source":{"id":"1410.8478","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.8478","created_at":"2026-05-18T02:38:59Z"},{"alias_kind":"arxiv_version","alias_value":"1410.8478v1","created_at":"2026-05-18T02:38:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.8478","created_at":"2026-05-18T02:38:59Z"},{"alias_kind":"pith_short_12","alias_value":"Z22P77DGLR24","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"Z22P77DGLR24MPW2","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"Z22P77DG","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:15e3271d3725cb0490b14bd535bd3a3d487e71135a7cc977ffd2afb824e933b9","target":"graph","created_at":"2026-05-18T02:38:59Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We extend the result of Lavrentiev which asserts that the harmonic measure and the arc-length measure are $A_\\infty$ equivalent in a chord-arc Jordan domain. By using this result we extend the classical result of Lindel\\\"of to the class of quasiconformal (q.c.) harmonic mappings by proving the following assertion. Assume that $f$ is a quasiconformal harmonic mapping of the unit disk $\\mathbf{U}$ onto a Jordan domain. Then the function $A(z)=\\arg(\\partial_\\varphi(f(z))/z)$ where $z=re^{i\\varphi}$, is well-defined and smooth in $\\mathbf{U}^*=\\{z: 0<|z|<1\\}$ and has a continuous extension to the ","authors_text":"David Kalaj","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-10-30T18:11:29Z","title":"Muckenhoupt weights and Lindel\\\"of theorem for harmonic mappings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.8478","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:bd41e820ade6eb7267da3388941f5e80646fe2e9d87065f73a594726884a5a3c","target":"record","created_at":"2026-05-18T02:38:59Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"87869dba3ff8d3e16eb4bace6e04e1b4ca67db573cb97f88c87697b734fc595a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-10-30T18:11:29Z","title_canon_sha256":"7b20960113c99699d499499af5369e482c7634656f70d231ec060fca3bde2e34"},"schema_version":"1.0","source":{"id":"1410.8478","kind":"arxiv","version":1}},"canonical_sha256":"ceb4fffc665c75c63eda59ae9ddcb8459cd0b0003fce5d7712d3920e5e8549d0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ceb4fffc665c75c63eda59ae9ddcb8459cd0b0003fce5d7712d3920e5e8549d0","first_computed_at":"2026-05-18T02:38:59.835165Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:38:59.835165Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"m3aa14m30p3VlDRUZqrXrMmiGhNhDkU1WXzWkFknJ4XL9zF5LZLtYBPBQkczwXsO35Zd9oFyqjyp4dfuCZXkCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:38:59.835595Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.8478","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bd41e820ade6eb7267da3388941f5e80646fe2e9d87065f73a594726884a5a3c","sha256:15e3271d3725cb0490b14bd535bd3a3d487e71135a7cc977ffd2afb824e933b9"],"state_sha256":"f055344a8c0a9164fc162a7a47eefe99169c4a060600ea8b1bd3ce4cdc0948f7"}