{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:G5YF6B4FE6PPW3ETZPGDJB6YM3","short_pith_number":"pith:G5YF6B4F","schema_version":"1.0","canonical_sha256":"37705f0785279efb6c93cbcc3487d866ddf3fc69273de049db9a550521b211a0","source":{"kind":"arxiv","id":"1710.05952","version":1},"attestation_state":"computed","paper":{"title":"On the harmonic M\\\"obius transformations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Mar\\'ia J. Mart\\'in, Rodrigo Hern\\'andez","submitted_at":"2017-10-16T18:33:32Z","abstract_excerpt":"It is well-known that two locally univalent analytic functions $\\varphi$ and $\\psi$ have equal Schwarzian derivative if and only if there exists a non-constant M\\\"obius transformation $T$ such that $\\varphi=T\\circ \\psi$. In this paper, we identify completely the relationship between two locally univalent harmonic mappings with equal (harmonic) Schwarzian derivative."},"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":"1710.05952","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-10-16T18:33:32Z","cross_cats_sorted":[],"title_canon_sha256":"1658574c2b86ef9b6239d4f21f580bd854d873b63e1a2cb43292323ef2907dd9","abstract_canon_sha256":"270d637cf231afa2822424f4613c1b5fb7b001c805dcc60d93659cc03c7d2775"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:32:38.237444Z","signature_b64":"1iXmMru9rIMweZjIipALEIrx9A3AhqXonLZ8+n1MQKzlir6TDVzw7XOkQygrADMWYi9+HBdIaKXyGQfy2W9DBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"37705f0785279efb6c93cbcc3487d866ddf3fc69273de049db9a550521b211a0","last_reissued_at":"2026-05-18T00:32:38.236796Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:32:38.236796Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the harmonic M\\\"obius transformations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Mar\\'ia J. Mart\\'in, Rodrigo Hern\\'andez","submitted_at":"2017-10-16T18:33:32Z","abstract_excerpt":"It is well-known that two locally univalent analytic functions $\\varphi$ and $\\psi$ have equal Schwarzian derivative if and only if there exists a non-constant M\\\"obius transformation $T$ such that $\\varphi=T\\circ \\psi$. In this paper, we identify completely the relationship between two locally univalent harmonic mappings with equal (harmonic) Schwarzian derivative."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.05952","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":"1710.05952","created_at":"2026-05-18T00:32:38.236881+00:00"},{"alias_kind":"arxiv_version","alias_value":"1710.05952v1","created_at":"2026-05-18T00:32:38.236881+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.05952","created_at":"2026-05-18T00:32:38.236881+00:00"},{"alias_kind":"pith_short_12","alias_value":"G5YF6B4FE6PP","created_at":"2026-05-18T12:31:15.632608+00:00"},{"alias_kind":"pith_short_16","alias_value":"G5YF6B4FE6PPW3ET","created_at":"2026-05-18T12:31:15.632608+00:00"},{"alias_kind":"pith_short_8","alias_value":"G5YF6B4F","created_at":"2026-05-18T12:31:15.632608+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/G5YF6B4FE6PPW3ETZPGDJB6YM3","json":"https://pith.science/pith/G5YF6B4FE6PPW3ETZPGDJB6YM3.json","graph_json":"https://pith.science/api/pith-number/G5YF6B4FE6PPW3ETZPGDJB6YM3/graph.json","events_json":"https://pith.science/api/pith-number/G5YF6B4FE6PPW3ETZPGDJB6YM3/events.json","paper":"https://pith.science/paper/G5YF6B4F"},"agent_actions":{"view_html":"https://pith.science/pith/G5YF6B4FE6PPW3ETZPGDJB6YM3","download_json":"https://pith.science/pith/G5YF6B4FE6PPW3ETZPGDJB6YM3.json","view_paper":"https://pith.science/paper/G5YF6B4F","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1710.05952&json=true","fetch_graph":"https://pith.science/api/pith-number/G5YF6B4FE6PPW3ETZPGDJB6YM3/graph.json","fetch_events":"https://pith.science/api/pith-number/G5YF6B4FE6PPW3ETZPGDJB6YM3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/G5YF6B4FE6PPW3ETZPGDJB6YM3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/G5YF6B4FE6PPW3ETZPGDJB6YM3/action/storage_attestation","attest_author":"https://pith.science/pith/G5YF6B4FE6PPW3ETZPGDJB6YM3/action/author_attestation","sign_citation":"https://pith.science/pith/G5YF6B4FE6PPW3ETZPGDJB6YM3/action/citation_signature","submit_replication":"https://pith.science/pith/G5YF6B4FE6PPW3ETZPGDJB6YM3/action/replication_record"}},"created_at":"2026-05-18T00:32:38.236881+00:00","updated_at":"2026-05-18T00:32:38.236881+00:00"}