{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:35B2HH7NNCMBSUZBTCKNE2GH2Z","short_pith_number":"pith:35B2HH7N","canonical_record":{"source":{"id":"1706.07937","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-06-24T10:43:39Z","cross_cats_sorted":[],"title_canon_sha256":"e1d16cb9860d4699bf7ed788126e4a9565a3d14ca06c8a21de8e8188d7fcacc4","abstract_canon_sha256":"5bb710fcf15e1d8c1c96b4621d631686115789eacb308cfba8248762b27d3cad"},"schema_version":"1.0"},"canonical_sha256":"df43a39fed68981953219894d268c7d6671c64e179694f538c58e8d4d2e96fd0","source":{"kind":"arxiv","id":"1706.07937","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.07937","created_at":"2026-05-18T00:40:39Z"},{"alias_kind":"arxiv_version","alias_value":"1706.07937v2","created_at":"2026-05-18T00:40:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.07937","created_at":"2026-05-18T00:40:39Z"},{"alias_kind":"pith_short_12","alias_value":"35B2HH7NNCMB","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"35B2HH7NNCMBSUZB","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"35B2HH7N","created_at":"2026-05-18T12:30:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:35B2HH7NNCMBSUZBTCKNE2GH2Z","target":"record","payload":{"canonical_record":{"source":{"id":"1706.07937","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-06-24T10:43:39Z","cross_cats_sorted":[],"title_canon_sha256":"e1d16cb9860d4699bf7ed788126e4a9565a3d14ca06c8a21de8e8188d7fcacc4","abstract_canon_sha256":"5bb710fcf15e1d8c1c96b4621d631686115789eacb308cfba8248762b27d3cad"},"schema_version":"1.0"},"canonical_sha256":"df43a39fed68981953219894d268c7d6671c64e179694f538c58e8d4d2e96fd0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:39.827918Z","signature_b64":"7qYk3H2jIdHJ3Tss4tFEa+Fas5im5oDPehVFQZ17DXjEmoBPDstrveB9nYD8LvvEbGfe2zbo0CMelfXBu2NWBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"df43a39fed68981953219894d268c7d6671c64e179694f538c58e8d4d2e96fd0","last_reissued_at":"2026-05-18T00:40:39.827214Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:39.827214Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1706.07937","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:40:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DUfvx/JdOvQZDQwhq92eiFbMMlXMU9V/pegqEnp42iiYgku8HY7YoYcn5vakFwf+XXGLMl9sWY/naEtE12ogBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T08:58:19.596453Z"},"content_sha256":"01950f381f7de8a597b7d609061a1525b176a353389ab3f1bdf7e183631f5631","schema_version":"1.0","event_id":"sha256:01950f381f7de8a597b7d609061a1525b176a353389ab3f1bdf7e183631f5631"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:35B2HH7NNCMBSUZBTCKNE2GH2Z","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Second Hankel determinant for certain subclasses of bi-univalent functions involving Chebyshev polynomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Ekrem Kad{\\i}o\\u{g}lu, Evrim Toklu, Halit Orhan","submitted_at":"2017-06-24T10:43:39Z","abstract_excerpt":"In this paper our purpose is to find upper bound estimate for the second Hankel determinant $|a_{2}a_{4}-a_{3}^{2}|$ for functions defined by convolution belonging to the class $\\mathcal{N}_{\\sigma}^{\\mu,\\delta}(\\lambda,t)$ by using Chebyshev polynomials."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.07937","kind":"arxiv","version":2},"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":"2026-05-18T00:40:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OEdTcsc53Kpur1T3+4Lxuk0fGDhGu26jm6acA4VRfeAP9kwIF/va5HbqJcx4p3DH8OyZnvmZStXkvwQieS62DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T08:58:19.596806Z"},"content_sha256":"94934e92664663a68bf046242a56fc885746ed1ba5b4799f142ba20af08e465e","schema_version":"1.0","event_id":"sha256:94934e92664663a68bf046242a56fc885746ed1ba5b4799f142ba20af08e465e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/35B2HH7NNCMBSUZBTCKNE2GH2Z/bundle.json","state_url":"https://pith.science/pith/35B2HH7NNCMBSUZBTCKNE2GH2Z/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/35B2HH7NNCMBSUZBTCKNE2GH2Z/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":"2026-06-24T08:58:19Z","links":{"resolver":"https://pith.science/pith/35B2HH7NNCMBSUZBTCKNE2GH2Z","bundle":"https://pith.science/pith/35B2HH7NNCMBSUZBTCKNE2GH2Z/bundle.json","state":"https://pith.science/pith/35B2HH7NNCMBSUZBTCKNE2GH2Z/state.json","well_known_bundle":"https://pith.science/.well-known/pith/35B2HH7NNCMBSUZBTCKNE2GH2Z/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:35B2HH7NNCMBSUZBTCKNE2GH2Z","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":"5bb710fcf15e1d8c1c96b4621d631686115789eacb308cfba8248762b27d3cad","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-06-24T10:43:39Z","title_canon_sha256":"e1d16cb9860d4699bf7ed788126e4a9565a3d14ca06c8a21de8e8188d7fcacc4"},"schema_version":"1.0","source":{"id":"1706.07937","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.07937","created_at":"2026-05-18T00:40:39Z"},{"alias_kind":"arxiv_version","alias_value":"1706.07937v2","created_at":"2026-05-18T00:40:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.07937","created_at":"2026-05-18T00:40:39Z"},{"alias_kind":"pith_short_12","alias_value":"35B2HH7NNCMB","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"35B2HH7NNCMBSUZB","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"35B2HH7N","created_at":"2026-05-18T12:30:58Z"}],"graph_snapshots":[{"event_id":"sha256:94934e92664663a68bf046242a56fc885746ed1ba5b4799f142ba20af08e465e","target":"graph","created_at":"2026-05-18T00:40:39Z","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":"In this paper our purpose is to find upper bound estimate for the second Hankel determinant $|a_{2}a_{4}-a_{3}^{2}|$ for functions defined by convolution belonging to the class $\\mathcal{N}_{\\sigma}^{\\mu,\\delta}(\\lambda,t)$ by using Chebyshev polynomials.","authors_text":"Ekrem Kad{\\i}o\\u{g}lu, Evrim Toklu, Halit Orhan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-06-24T10:43:39Z","title":"Second Hankel determinant for certain subclasses of bi-univalent functions involving Chebyshev polynomials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.07937","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":"sha256:01950f381f7de8a597b7d609061a1525b176a353389ab3f1bdf7e183631f5631","target":"record","created_at":"2026-05-18T00:40:39Z","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":"5bb710fcf15e1d8c1c96b4621d631686115789eacb308cfba8248762b27d3cad","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-06-24T10:43:39Z","title_canon_sha256":"e1d16cb9860d4699bf7ed788126e4a9565a3d14ca06c8a21de8e8188d7fcacc4"},"schema_version":"1.0","source":{"id":"1706.07937","kind":"arxiv","version":2}},"canonical_sha256":"df43a39fed68981953219894d268c7d6671c64e179694f538c58e8d4d2e96fd0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"df43a39fed68981953219894d268c7d6671c64e179694f538c58e8d4d2e96fd0","first_computed_at":"2026-05-18T00:40:39.827214Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:40:39.827214Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7qYk3H2jIdHJ3Tss4tFEa+Fas5im5oDPehVFQZ17DXjEmoBPDstrveB9nYD8LvvEbGfe2zbo0CMelfXBu2NWBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:40:39.827918Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.07937","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:01950f381f7de8a597b7d609061a1525b176a353389ab3f1bdf7e183631f5631","sha256:94934e92664663a68bf046242a56fc885746ed1ba5b4799f142ba20af08e465e"],"state_sha256":"d474d43990eeb601f50b82c331d8e1a8da0f94fc8753105c4424ab6c732c70f0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7vDEalvIok9qA/MSrB7u5+csTmCxoEt6zp3kJmR99gueepOyRO1UiahhYb/zmjVRZvnk9YEattlrc+xR49yMCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T08:58:19.598786Z","bundle_sha256":"9d99a0b6142f208a1e1d9f4c86fca375243af010c3a66774e1a52b584351e51b"}}