{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:IHHWPHA42XDR37L4VI3OMEC2UY","short_pith_number":"pith:IHHWPHA4","canonical_record":{"source":{"id":"1605.08224","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CV","submitted_at":"2016-05-26T10:51:12Z","cross_cats_sorted":[],"title_canon_sha256":"2464dd5b74d13e0408443c1ff87571af17a6487aa2d67c42453090f97d0a6987","abstract_canon_sha256":"06c54cc28eebd4969e5bf781b3a90afc187183ca64479bfea3cf5ce9dfeee55d"},"schema_version":"1.0"},"canonical_sha256":"41cf679c1cd5c71dfd7caa36e6105aa62d43a81edd097a6640560575dca21942","source":{"kind":"arxiv","id":"1605.08224","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.08224","created_at":"2026-05-18T00:51:03Z"},{"alias_kind":"arxiv_version","alias_value":"1605.08224v2","created_at":"2026-05-18T00:51:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.08224","created_at":"2026-05-18T00:51:03Z"},{"alias_kind":"pith_short_12","alias_value":"IHHWPHA42XDR","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"IHHWPHA42XDR37L4","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"IHHWPHA4","created_at":"2026-05-18T12:30:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:IHHWPHA42XDR37L4VI3OMEC2UY","target":"record","payload":{"canonical_record":{"source":{"id":"1605.08224","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CV","submitted_at":"2016-05-26T10:51:12Z","cross_cats_sorted":[],"title_canon_sha256":"2464dd5b74d13e0408443c1ff87571af17a6487aa2d67c42453090f97d0a6987","abstract_canon_sha256":"06c54cc28eebd4969e5bf781b3a90afc187183ca64479bfea3cf5ce9dfeee55d"},"schema_version":"1.0"},"canonical_sha256":"41cf679c1cd5c71dfd7caa36e6105aa62d43a81edd097a6640560575dca21942","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:03.225996Z","signature_b64":"ZhDUK8dlfym1wkQwWK6W/c2YspL6XW3HkUAZrlwlmadRzYk7NOCN8LaeaGsNqmX3VR2YxeLXGCtC3P1kQw00AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"41cf679c1cd5c71dfd7caa36e6105aa62d43a81edd097a6640560575dca21942","last_reissued_at":"2026-05-18T00:51:03.225529Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:03.225529Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.08224","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":"2026-05-18T00:51:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cUq1gH2w28dEIgXD7R+HAi7IvHyumN3LiJ85BQEkfNaS3qWSpTgppcrCTYYtnjV2oE2cheYZYabs/c0QvrY/BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T14:34:54.433583Z"},"content_sha256":"2c30b448d4ec51c1c10e03000c5f152915da9fa6e0ecc606864d376593f615f4","schema_version":"1.0","event_id":"sha256:2c30b448d4ec51c1c10e03000c5f152915da9fa6e0ecc606864d376593f615f4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:IHHWPHA42XDR37L4VI3OMEC2UY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Chebyshev polynomial coefficient bounds for a subclass of bi-univalent functions","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Sahsene Altinkaya, Sibel Yalcin","submitted_at":"2016-05-26T10:51:12Z","abstract_excerpt":"In this work, considering a general subclass of bi-univalent functions and using the Chebyshev polynomials, we obtain coefficient expansions for functions in this class."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.08224","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":"2026-05-18T00:51:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CZncenUSc3HxGLWdZdbq17jdz+lyU9pv0BHvU2uAMGaXLeJjQ0Qs8DmcdJ2U0T0svm5LrZQ2rTqwe2LJi+aCBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T14:34:54.433934Z"},"content_sha256":"ef25c01e055dcb00a624f9d474684ffb84cb5df950b158f86a5f33125af62f55","schema_version":"1.0","event_id":"sha256:ef25c01e055dcb00a624f9d474684ffb84cb5df950b158f86a5f33125af62f55"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IHHWPHA42XDR37L4VI3OMEC2UY/bundle.json","state_url":"https://pith.science/pith/IHHWPHA42XDR37L4VI3OMEC2UY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IHHWPHA42XDR37L4VI3OMEC2UY/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":"2026-06-23T14:34:54Z","links":{"resolver":"https://pith.science/pith/IHHWPHA42XDR37L4VI3OMEC2UY","bundle":"https://pith.science/pith/IHHWPHA42XDR37L4VI3OMEC2UY/bundle.json","state":"https://pith.science/pith/IHHWPHA42XDR37L4VI3OMEC2UY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IHHWPHA42XDR37L4VI3OMEC2UY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:IHHWPHA42XDR37L4VI3OMEC2UY","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":"06c54cc28eebd4969e5bf781b3a90afc187183ca64479bfea3cf5ce9dfeee55d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CV","submitted_at":"2016-05-26T10:51:12Z","title_canon_sha256":"2464dd5b74d13e0408443c1ff87571af17a6487aa2d67c42453090f97d0a6987"},"schema_version":"1.0","source":{"id":"1605.08224","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.08224","created_at":"2026-05-18T00:51:03Z"},{"alias_kind":"arxiv_version","alias_value":"1605.08224v2","created_at":"2026-05-18T00:51:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.08224","created_at":"2026-05-18T00:51:03Z"},{"alias_kind":"pith_short_12","alias_value":"IHHWPHA42XDR","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"IHHWPHA42XDR37L4","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"IHHWPHA4","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:ef25c01e055dcb00a624f9d474684ffb84cb5df950b158f86a5f33125af62f55","target":"graph","created_at":"2026-05-18T00:51:03Z","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 work, considering a general subclass of bi-univalent functions and using the Chebyshev polynomials, we obtain coefficient expansions for functions in this class.","authors_text":"Sahsene Altinkaya, Sibel Yalcin","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CV","submitted_at":"2016-05-26T10:51:12Z","title":"Chebyshev polynomial coefficient bounds for a subclass of bi-univalent functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.08224","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":"sha256:2c30b448d4ec51c1c10e03000c5f152915da9fa6e0ecc606864d376593f615f4","target":"record","created_at":"2026-05-18T00:51:03Z","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":"06c54cc28eebd4969e5bf781b3a90afc187183ca64479bfea3cf5ce9dfeee55d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CV","submitted_at":"2016-05-26T10:51:12Z","title_canon_sha256":"2464dd5b74d13e0408443c1ff87571af17a6487aa2d67c42453090f97d0a6987"},"schema_version":"1.0","source":{"id":"1605.08224","kind":"arxiv","version":2}},"canonical_sha256":"41cf679c1cd5c71dfd7caa36e6105aa62d43a81edd097a6640560575dca21942","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"41cf679c1cd5c71dfd7caa36e6105aa62d43a81edd097a6640560575dca21942","first_computed_at":"2026-05-18T00:51:03.225529Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:03.225529Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZhDUK8dlfym1wkQwWK6W/c2YspL6XW3HkUAZrlwlmadRzYk7NOCN8LaeaGsNqmX3VR2YxeLXGCtC3P1kQw00AA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:03.225996Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.08224","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2c30b448d4ec51c1c10e03000c5f152915da9fa6e0ecc606864d376593f615f4","sha256:ef25c01e055dcb00a624f9d474684ffb84cb5df950b158f86a5f33125af62f55"],"state_sha256":"6900d0ac0a9a0f94ffc753836ecef548bdc0e912ba5215f6a3753ed904eddc48"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tcuxqaNxR6kg/TcXr6J5cH2Oel11bKB0Z3Zhpgws8hpdbbj2+1iZCLdmkrBSMwGU8eoG06RnpzYfNMSAKyKRBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T14:34:54.435939Z","bundle_sha256":"f0c95692f17cd5bf7c392a33500665c127f8480523b84d7c84c2615f11b7f2ab"}}