{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:QZQWDN2VEIW6RXH7BJZQVRONUE","short_pith_number":"pith:QZQWDN2V","schema_version":"1.0","canonical_sha256":"866161b755222de8dcff0a730ac5cda1355b2d4db7ee09262ce51bff51ba0d27","source":{"kind":"arxiv","id":"1706.01990","version":1},"attestation_state":"computed","paper":{"title":"A sharp inequality for harmonic diffeomorphisms of the unit disk","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"David Kalaj","submitted_at":"2017-06-06T21:57:34Z","abstract_excerpt":"We extend the classical Schwarz-Pick inequality to the class of harmonic mappings between the unit disk and a Jordan domain with given perimeter. It is intriguing that the extremals in this case are certain harmonic diffeomorphisms between the unit disk and a convex domain that solve the Beltrami equation of second order."},"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":"1706.01990","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-06-06T21:57:34Z","cross_cats_sorted":[],"title_canon_sha256":"038891436461c5a80ce7e2e9e582ce2cac8346d3cd03ab19112faa003d55e32a","abstract_canon_sha256":"7e5100be1d1ad5e72f244a93bf14bf898d1ac304a141821cc2cafab0a8a8f5cb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:42:50.560017Z","signature_b64":"FxbmcOc3/Q4fQggLQ1LZqHNFdCSY6Dh3DDe3X8t6nblvPElcjZqfP17r1ikspodFpMIMcoUqr/UoO9az/2UTCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"866161b755222de8dcff0a730ac5cda1355b2d4db7ee09262ce51bff51ba0d27","last_reissued_at":"2026-05-18T00:42:50.559015Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:42:50.559015Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A sharp inequality for harmonic diffeomorphisms of the unit disk","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"David Kalaj","submitted_at":"2017-06-06T21:57:34Z","abstract_excerpt":"We extend the classical Schwarz-Pick inequality to the class of harmonic mappings between the unit disk and a Jordan domain with given perimeter. It is intriguing that the extremals in this case are certain harmonic diffeomorphisms between the unit disk and a convex domain that solve the Beltrami equation of second order."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.01990","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":"1706.01990","created_at":"2026-05-18T00:42:50.559198+00:00"},{"alias_kind":"arxiv_version","alias_value":"1706.01990v1","created_at":"2026-05-18T00:42:50.559198+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.01990","created_at":"2026-05-18T00:42:50.559198+00:00"},{"alias_kind":"pith_short_12","alias_value":"QZQWDN2VEIW6","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_16","alias_value":"QZQWDN2VEIW6RXH7","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_8","alias_value":"QZQWDN2V","created_at":"2026-05-18T12:31:39.905425+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/QZQWDN2VEIW6RXH7BJZQVRONUE","json":"https://pith.science/pith/QZQWDN2VEIW6RXH7BJZQVRONUE.json","graph_json":"https://pith.science/api/pith-number/QZQWDN2VEIW6RXH7BJZQVRONUE/graph.json","events_json":"https://pith.science/api/pith-number/QZQWDN2VEIW6RXH7BJZQVRONUE/events.json","paper":"https://pith.science/paper/QZQWDN2V"},"agent_actions":{"view_html":"https://pith.science/pith/QZQWDN2VEIW6RXH7BJZQVRONUE","download_json":"https://pith.science/pith/QZQWDN2VEIW6RXH7BJZQVRONUE.json","view_paper":"https://pith.science/paper/QZQWDN2V","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1706.01990&json=true","fetch_graph":"https://pith.science/api/pith-number/QZQWDN2VEIW6RXH7BJZQVRONUE/graph.json","fetch_events":"https://pith.science/api/pith-number/QZQWDN2VEIW6RXH7BJZQVRONUE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QZQWDN2VEIW6RXH7BJZQVRONUE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QZQWDN2VEIW6RXH7BJZQVRONUE/action/storage_attestation","attest_author":"https://pith.science/pith/QZQWDN2VEIW6RXH7BJZQVRONUE/action/author_attestation","sign_citation":"https://pith.science/pith/QZQWDN2VEIW6RXH7BJZQVRONUE/action/citation_signature","submit_replication":"https://pith.science/pith/QZQWDN2VEIW6RXH7BJZQVRONUE/action/replication_record"}},"created_at":"2026-05-18T00:42:50.559198+00:00","updated_at":"2026-05-18T00:42:50.559198+00:00"}