{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:JXW2E45UU4KXCMJVADBUXFLWXN","short_pith_number":"pith:JXW2E45U","canonical_record":{"source":{"id":"1703.03598","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-03-10T09:39:24Z","cross_cats_sorted":[],"title_canon_sha256":"7dbdaef3e42808ef29df08b61f65c42cacbafd7265f5335f966a851c0f8c7dc2","abstract_canon_sha256":"8f210944ab0360baa08388761a66a5a2166f57151b5a44d995cffbec30da963a"},"schema_version":"1.0"},"canonical_sha256":"4deda273b4a71571313500c34b9576bb7f3694b1f27700ed41cd06908fa5c80a","source":{"kind":"arxiv","id":"1703.03598","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.03598","created_at":"2026-05-18T00:48:58Z"},{"alias_kind":"arxiv_version","alias_value":"1703.03598v1","created_at":"2026-05-18T00:48:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.03598","created_at":"2026-05-18T00:48:58Z"},{"alias_kind":"pith_short_12","alias_value":"JXW2E45UU4KX","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"JXW2E45UU4KXCMJV","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"JXW2E45U","created_at":"2026-05-18T12:31:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:JXW2E45UU4KXCMJVADBUXFLWXN","target":"record","payload":{"canonical_record":{"source":{"id":"1703.03598","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-03-10T09:39:24Z","cross_cats_sorted":[],"title_canon_sha256":"7dbdaef3e42808ef29df08b61f65c42cacbafd7265f5335f966a851c0f8c7dc2","abstract_canon_sha256":"8f210944ab0360baa08388761a66a5a2166f57151b5a44d995cffbec30da963a"},"schema_version":"1.0"},"canonical_sha256":"4deda273b4a71571313500c34b9576bb7f3694b1f27700ed41cd06908fa5c80a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:48:58.589825Z","signature_b64":"YdjbjJdNpxEG5knAtF56YfH1qBmCEOBU+bXN+kAa2SwysbJuBblFa+JY/Iibj2sDC9ki2GbNfR29AU+ffjxnAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4deda273b4a71571313500c34b9576bb7f3694b1f27700ed41cd06908fa5c80a","last_reissued_at":"2026-05-18T00:48:58.589155Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:48:58.589155Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.03598","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:48:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nfojGdnHCbL74eL+GGGjylFZfOM8uMIAcdYbXOSnjzUzBmxYNGScWzCXNJ8c1YXb3otqXZVbH3iD+rCr+HQxAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T20:28:28.579760Z"},"content_sha256":"7026826f48ee61edf7ebc057f213a5ccc01a4ff587a850671afb4246a6c2fd16","schema_version":"1.0","event_id":"sha256:7026826f48ee61edf7ebc057f213a5ccc01a4ff587a850671afb4246a6c2fd16"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:JXW2E45UU4KXCMJVADBUXFLWXN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Coefficient problem for bi-univalent analytic functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Nisha Bohra, V. Ravichandran","submitted_at":"2017-03-10T09:39:24Z","abstract_excerpt":"Estimates for initial coefficients of Taylor-Maclaurin series of bi-univalent functions belonging to certain classes defined by subordination are obtained. Our estimates improve upon the earlier known estimates for second and third coefficient. The bound for the fourth coefficient is new. In addition, bound for the fifth coefficient is obtained for bi-starlike and strongly bi-starlike functions of order $\\rho$ and $\\beta$ respectively."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.03598","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:48:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"htp2yxilqe/h0H4wvroeTva13cWN3pb0EuP/HwWCYzl3WzBqzRERg/V1R+j7rolfkgC3E42pYw8XjJAFnYNRBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T20:28:28.580355Z"},"content_sha256":"ec72395bd13b61c60fdb3a1d70de63e0b64849ff1433e5008af9f4050cb39869","schema_version":"1.0","event_id":"sha256:ec72395bd13b61c60fdb3a1d70de63e0b64849ff1433e5008af9f4050cb39869"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JXW2E45UU4KXCMJVADBUXFLWXN/bundle.json","state_url":"https://pith.science/pith/JXW2E45UU4KXCMJVADBUXFLWXN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JXW2E45UU4KXCMJVADBUXFLWXN/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-05T20:28:28Z","links":{"resolver":"https://pith.science/pith/JXW2E45UU4KXCMJVADBUXFLWXN","bundle":"https://pith.science/pith/JXW2E45UU4KXCMJVADBUXFLWXN/bundle.json","state":"https://pith.science/pith/JXW2E45UU4KXCMJVADBUXFLWXN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JXW2E45UU4KXCMJVADBUXFLWXN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:JXW2E45UU4KXCMJVADBUXFLWXN","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":"8f210944ab0360baa08388761a66a5a2166f57151b5a44d995cffbec30da963a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-03-10T09:39:24Z","title_canon_sha256":"7dbdaef3e42808ef29df08b61f65c42cacbafd7265f5335f966a851c0f8c7dc2"},"schema_version":"1.0","source":{"id":"1703.03598","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.03598","created_at":"2026-05-18T00:48:58Z"},{"alias_kind":"arxiv_version","alias_value":"1703.03598v1","created_at":"2026-05-18T00:48:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.03598","created_at":"2026-05-18T00:48:58Z"},{"alias_kind":"pith_short_12","alias_value":"JXW2E45UU4KX","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"JXW2E45UU4KXCMJV","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"JXW2E45U","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:ec72395bd13b61c60fdb3a1d70de63e0b64849ff1433e5008af9f4050cb39869","target":"graph","created_at":"2026-05-18T00:48:58Z","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":"Estimates for initial coefficients of Taylor-Maclaurin series of bi-univalent functions belonging to certain classes defined by subordination are obtained. Our estimates improve upon the earlier known estimates for second and third coefficient. The bound for the fourth coefficient is new. In addition, bound for the fifth coefficient is obtained for bi-starlike and strongly bi-starlike functions of order $\\rho$ and $\\beta$ respectively.","authors_text":"Nisha Bohra, V. Ravichandran","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-03-10T09:39:24Z","title":"On Coefficient problem for bi-univalent analytic functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.03598","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":"sha256:7026826f48ee61edf7ebc057f213a5ccc01a4ff587a850671afb4246a6c2fd16","target":"record","created_at":"2026-05-18T00:48:58Z","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":"8f210944ab0360baa08388761a66a5a2166f57151b5a44d995cffbec30da963a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-03-10T09:39:24Z","title_canon_sha256":"7dbdaef3e42808ef29df08b61f65c42cacbafd7265f5335f966a851c0f8c7dc2"},"schema_version":"1.0","source":{"id":"1703.03598","kind":"arxiv","version":1}},"canonical_sha256":"4deda273b4a71571313500c34b9576bb7f3694b1f27700ed41cd06908fa5c80a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4deda273b4a71571313500c34b9576bb7f3694b1f27700ed41cd06908fa5c80a","first_computed_at":"2026-05-18T00:48:58.589155Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:48:58.589155Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YdjbjJdNpxEG5knAtF56YfH1qBmCEOBU+bXN+kAa2SwysbJuBblFa+JY/Iibj2sDC9ki2GbNfR29AU+ffjxnAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:48:58.589825Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.03598","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7026826f48ee61edf7ebc057f213a5ccc01a4ff587a850671afb4246a6c2fd16","sha256:ec72395bd13b61c60fdb3a1d70de63e0b64849ff1433e5008af9f4050cb39869"],"state_sha256":"890cf5ad9c42888301f770e7f481728f382d210b5cfc03a3291683b7f09a2aed"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zMpewXdxeyg13TlJbuKQmAaI786tnN0GRfHIcacmdjSHhRH5hkdyvg5oe9AtKRErVzxISQmHbdBE/7O+R71lAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T20:28:28.583585Z","bundle_sha256":"0facbeaa207434069b7255760f24d750e995c92c7a9cfc9a9c56a79c0a0b2a64"}}