{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:L3JYUESINHJ2QJ7KJLFRVIAQPI","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":"92cbea28ef4e82f8469077c3639aff3b6b4294fb31b7309130af9ccaf60c3293","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2026-05-21T04:16:26Z","title_canon_sha256":"784ca526ba674e3f9e4ba7ca938b406647df2115532a39278caa63ad86c7320c"},"schema_version":"1.0","source":{"id":"2605.21978","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.21978","created_at":"2026-05-22T01:04:18Z"},{"alias_kind":"arxiv_version","alias_value":"2605.21978v1","created_at":"2026-05-22T01:04:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.21978","created_at":"2026-05-22T01:04:18Z"},{"alias_kind":"pith_short_12","alias_value":"L3JYUESINHJ2","created_at":"2026-05-22T01:04:18Z"},{"alias_kind":"pith_short_16","alias_value":"L3JYUESINHJ2QJ7K","created_at":"2026-05-22T01:04:18Z"},{"alias_kind":"pith_short_8","alias_value":"L3JYUESI","created_at":"2026-05-22T01:04:18Z"}],"graph_snapshots":[{"event_id":"sha256:f209eb4ab5eb9e3f219bb657374472840f591d77c610a47e27138a921275f034","target":"graph","created_at":"2026-05-22T01:04:18Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2605.21978/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we introduce and investigate a novel subclass $\\Sigma(\\theta, \\lambda, \\gamma)$ of meromorphic functions defined in the punctured unit disk ${D}^*$. This class is constructed utilizing a specialized generalized operator $W_{\\alpha, \\beta}$ associated with Wright function. We derive the exact integral representation and establish necessary and sufficient convolution (Hadamard product) conditions. Furthermore, sufficient conditions involving strict inequalities are provided for functions to be members of this class $\\Sigma(\\theta, \\lambda, \\gamma)$. Additionaly, by employing the p","authors_text":"Anish Kumar","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2026-05-21T04:16:26Z","title":"Certain subclass of Meromorphic function associated with Wright function"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.21978","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:d4c4590ff991fc3e75ed0df7167f473ec037329970d7bc8a880f1e9ea29b5279","target":"record","created_at":"2026-05-22T01:04:18Z","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":"92cbea28ef4e82f8469077c3639aff3b6b4294fb31b7309130af9ccaf60c3293","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2026-05-21T04:16:26Z","title_canon_sha256":"784ca526ba674e3f9e4ba7ca938b406647df2115532a39278caa63ad86c7320c"},"schema_version":"1.0","source":{"id":"2605.21978","kind":"arxiv","version":1}},"canonical_sha256":"5ed38a124869d3a827ea4acb1aa0107a021c0c2e950b7c50fdbc364ddd1c2739","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5ed38a124869d3a827ea4acb1aa0107a021c0c2e950b7c50fdbc364ddd1c2739","first_computed_at":"2026-05-22T01:04:18.375624Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-22T01:04:18.375624Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6zJd1oBZ0TUv5F/chNkbvWWDQ2XieTMUv1S7m1YPkk07f5Avqr7pRMSYNqxGksQrnfaZjqMzhsp7JO6eVDSfDw==","signature_status":"signed_v1","signed_at":"2026-05-22T01:04:18.376310Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.21978","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d4c4590ff991fc3e75ed0df7167f473ec037329970d7bc8a880f1e9ea29b5279","sha256:f209eb4ab5eb9e3f219bb657374472840f591d77c610a47e27138a921275f034"],"state_sha256":"1283cd16787b60c7cfaa1fefb5ce1e98188e12a8719388b1348f7302046efc5e"}