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Let $F$ be the inverse of the function $f\\in\\es$ with the series expansion %in a disk of radius at least $1/4$ $F(w)=f^{-1}(w)=w+ \\sum_{n=2}^{\\infty}A_nw^n$ for $|w|<1/4$. The logarithmic inverse coefficients $\\Gamma_n$ of $F$ are defined by the formula $\\log\\left(F(w)/w\\right)\\,=\\,2\\sum_{n=1}^{\\infty}\\Gamma_n(F)w^n$. % In this paper, we determine the logarithmic inverse coefficients bound of $F$ for the class In this paper, we first determine"},"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":"1811.01208","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-11-03T13:08:35Z","cross_cats_sorted":[],"title_canon_sha256":"5ce07352a1a0db8c67804374f78d1b4e8b0d24658deff89e4a9875aad440ceb1","abstract_canon_sha256":"ff304129c6b8487ff4d8370c65f69c98c19759d4c78cd86f6145486ccb9aac47"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:01:35.021461Z","signature_b64":"2wEKW+h5Z1ty7EhDMZ5G+YZP+syXhnH52+Be6B3Pw6ptITvkIYS6Oge4VJ0vRevQ/vAoFSdn/AaRuBijOYdwBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fc5fd416285cf58686f313bedc9c50f2a7219d08c867cda2c43c383ba1a2704b","last_reissued_at":"2026-05-18T00:01:35.020662Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:01:35.020662Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Logarithmic coefficients of the inverse of univalent functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"K.-J. Wirths, N. L. Sharma, S. Ponnusamy","submitted_at":"2018-11-03T13:08:35Z","abstract_excerpt":"Let $\\es$ be the class of analytic and univalent functions in the unit disk $|z|<1$, that have a series of the form $f(z)=z+ \\sum_{n=2}^{\\infty}a_nz^n$. Let $F$ be the inverse of the function $f\\in\\es$ with the series expansion %in a disk of radius at least $1/4$ $F(w)=f^{-1}(w)=w+ \\sum_{n=2}^{\\infty}A_nw^n$ for $|w|<1/4$. The logarithmic inverse coefficients $\\Gamma_n$ of $F$ are defined by the formula $\\log\\left(F(w)/w\\right)\\,=\\,2\\sum_{n=1}^{\\infty}\\Gamma_n(F)w^n$. % In this paper, we determine the logarithmic inverse coefficients bound of $F$ for the class In this paper, we first determine"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.01208","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":"1811.01208","created_at":"2026-05-18T00:01:35.020802+00:00"},{"alias_kind":"arxiv_version","alias_value":"1811.01208v1","created_at":"2026-05-18T00:01:35.020802+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.01208","created_at":"2026-05-18T00:01:35.020802+00:00"},{"alias_kind":"pith_short_12","alias_value":"7RP5IFRILT2Y","created_at":"2026-05-18T12:32:11.075285+00:00"},{"alias_kind":"pith_short_16","alias_value":"7RP5IFRILT2YNBXT","created_at":"2026-05-18T12:32:11.075285+00:00"},{"alias_kind":"pith_short_8","alias_value":"7RP5IFRI","created_at":"2026-05-18T12:32:11.075285+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/7RP5IFRILT2YNBXTCO7NZHCQ6K","json":"https://pith.science/pith/7RP5IFRILT2YNBXTCO7NZHCQ6K.json","graph_json":"https://pith.science/api/pith-number/7RP5IFRILT2YNBXTCO7NZHCQ6K/graph.json","events_json":"https://pith.science/api/pith-number/7RP5IFRILT2YNBXTCO7NZHCQ6K/events.json","paper":"https://pith.science/paper/7RP5IFRI"},"agent_actions":{"view_html":"https://pith.science/pith/7RP5IFRILT2YNBXTCO7NZHCQ6K","download_json":"https://pith.science/pith/7RP5IFRILT2YNBXTCO7NZHCQ6K.json","view_paper":"https://pith.science/paper/7RP5IFRI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1811.01208&json=true","fetch_graph":"https://pith.science/api/pith-number/7RP5IFRILT2YNBXTCO7NZHCQ6K/graph.json","fetch_events":"https://pith.science/api/pith-number/7RP5IFRILT2YNBXTCO7NZHCQ6K/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7RP5IFRILT2YNBXTCO7NZHCQ6K/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7RP5IFRILT2YNBXTCO7NZHCQ6K/action/storage_attestation","attest_author":"https://pith.science/pith/7RP5IFRILT2YNBXTCO7NZHCQ6K/action/author_attestation","sign_citation":"https://pith.science/pith/7RP5IFRILT2YNBXTCO7NZHCQ6K/action/citation_signature","submit_replication":"https://pith.science/pith/7RP5IFRILT2YNBXTCO7NZHCQ6K/action/replication_record"}},"created_at":"2026-05-18T00:01:35.020802+00:00","updated_at":"2026-05-18T00:01:35.020802+00:00"}