{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:UBTNBDRNA7NJPRLMMKODU5HXSX","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":"907b410432fdd1e90e0384eee028185174b30f12349340e60952a2871f806206","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-01-19T13:51:30Z","title_canon_sha256":"c049b2c395316bdb6aaf55f77fdc2ba47f54abcc0a9429575c24981d56638165"},"schema_version":"1.0","source":{"id":"1701.05413","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.05413","created_at":"2026-05-18T00:46:55Z"},{"alias_kind":"arxiv_version","alias_value":"1701.05413v2","created_at":"2026-05-18T00:46:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.05413","created_at":"2026-05-18T00:46:55Z"},{"alias_kind":"pith_short_12","alias_value":"UBTNBDRNA7NJ","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"UBTNBDRNA7NJPRLM","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"UBTNBDRN","created_at":"2026-05-18T12:31:46Z"}],"graph_snapshots":[{"event_id":"sha256:324f9a88cc851b5199fd62e25d6f3617d020480739322104be2d24ad612746ef","target":"graph","created_at":"2026-05-18T00:46:55Z","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":"Let ${\\mathcal U}(\\lambda)$ denote the family of analytic functions $f(z)$, $f(0)=0=f'(0)-1$, in the unit disk $\\ID$, which satisfy the condition $\\big |\\big (z/f(z)\\big )^{2}f'(z)-1\\big |<\\lambda $ for some $0<\\lambda \\leq 1$. The logarithmic coefficients $\\gamma_n$ of $f$ are defined by the formula $\\log(f(z)/z)=2\\sum_{n=1}^\\infty \\gamma_nz^n$. In a recent paper, the present authors proposed a conjecture that if $f\\in {\\mathcal U}(\\lambda)$ for some $0<\\lambda \\leq 1$, then $|a_n|\\leq \\sum_{k=0}^{n-1}\\lambda ^k$ for $n\\geq 2$ and provided a new proof for the case $n=2$. One of the aims of th","authors_text":"K.-J. Wirths, M. Obradovi\\'c, S. Ponnusamy","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-01-19T13:51:30Z","title":"Logarithmic Coefficients and a Coefficient Conjecture for Univalent Functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.05413","kind":"arxiv","version":2},"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":"sha256:35580ec53a2aebe878fd51156ea081f013bac020ef07d4382d5eb0a274cb4bb4","target":"record","created_at":"2026-05-18T00:46:55Z","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":"907b410432fdd1e90e0384eee028185174b30f12349340e60952a2871f806206","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-01-19T13:51:30Z","title_canon_sha256":"c049b2c395316bdb6aaf55f77fdc2ba47f54abcc0a9429575c24981d56638165"},"schema_version":"1.0","source":{"id":"1701.05413","kind":"arxiv","version":2}},"canonical_sha256":"a066d08e2d07da97c56c629c3a74f795ceb151135630a1ca5c7b9e6c9f6577b0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a066d08e2d07da97c56c629c3a74f795ceb151135630a1ca5c7b9e6c9f6577b0","first_computed_at":"2026-05-18T00:46:55.204112Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:55.204112Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/xU7Bi8qtR2jIprioqVqmYtFsr1KB0mWQguXEEB4onaBMoqX+spNhCCUDQFdJ6RA9WYT0U5uNcjsw+w2+HHECA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:55.204648Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.05413","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:35580ec53a2aebe878fd51156ea081f013bac020ef07d4382d5eb0a274cb4bb4","sha256:324f9a88cc851b5199fd62e25d6f3617d020480739322104be2d24ad612746ef"],"state_sha256":"0977697c2de296632cd3832dd6fc3643b2c1a13318d4eb8b0b081c405a7f3231"}