{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:KDRRKBB6DZREYG2JKOLY6DQGDX","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":"e1a158a0fc0fadbd65954709e6e2b6117b4f2ec347aef640e9846b1a4017a226","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-03-11T13:00:42Z","title_canon_sha256":"800503aa03e09468c6c7ba97ae48ae77576e29624d281b471525e893a94f15a7"},"schema_version":"1.0","source":{"id":"1303.2504","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.2504","created_at":"2026-05-18T03:14:27Z"},{"alias_kind":"arxiv_version","alias_value":"1303.2504v2","created_at":"2026-05-18T03:14:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.2504","created_at":"2026-05-18T03:14:27Z"},{"alias_kind":"pith_short_12","alias_value":"KDRRKBB6DZRE","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"KDRRKBB6DZREYG2J","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"KDRRKBB6","created_at":"2026-05-18T12:27:49Z"}],"graph_snapshots":[{"event_id":"sha256:ff4b006f3711087c749b0015b133c30e6771f5ee2696a3e46a00f69c8c4d3263","target":"graph","created_at":"2026-05-18T03:14:27Z","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 we extend the concept of bi-univalent to the class of meromorphic functions. We propose to investigate the coefficient estimates for two classes of meromorphic bi-univalent functions. Also, we find estimates on the coefficients |b0| and |b1| for functions in these new classes. Some interesting remarks and applications of the results presented here are also discussed.","authors_text":"H. Orhan, N. Magesh, V.K.Balaji","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-03-11T13:00:42Z","title":"Initial coefficient bounds for certain classes of Meromorphic bi-univalent functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.2504","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:e17a1a2394104b6d3e8fd9bd25df5bf61864ce9bccd8b140421e22ad2d22effc","target":"record","created_at":"2026-05-18T03:14:27Z","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":"e1a158a0fc0fadbd65954709e6e2b6117b4f2ec347aef640e9846b1a4017a226","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-03-11T13:00:42Z","title_canon_sha256":"800503aa03e09468c6c7ba97ae48ae77576e29624d281b471525e893a94f15a7"},"schema_version":"1.0","source":{"id":"1303.2504","kind":"arxiv","version":2}},"canonical_sha256":"50e315043e1e624c1b4953978f0e061df23c87b88840d0662b3088f08ac2da24","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"50e315043e1e624c1b4953978f0e061df23c87b88840d0662b3088f08ac2da24","first_computed_at":"2026-05-18T03:14:27.953840Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:14:27.953840Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uSnTrIsm6QLdFe6J1DYi+Z7zx1Q8X13udOXy8gXLsi+9YEkZs0h96FdqAgqQxHGCxP3+Rz8axLeMjjouMKLgDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:14:27.954369Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.2504","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e17a1a2394104b6d3e8fd9bd25df5bf61864ce9bccd8b140421e22ad2d22effc","sha256:ff4b006f3711087c749b0015b133c30e6771f5ee2696a3e46a00f69c8c4d3263"],"state_sha256":"f5d107df6395cce3b61effa37844b9dddc5415f1e4b8e73e87a39f34ab2f54f4"}