{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:JSSFQRQOKSF5KMLI5A6UULJLE5","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":"33ef1fdcdad0bd0e580a8d743f0cb6c17aa91cc78c75257bad88c2b8ab7c9d4f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-11-21T14:39:25Z","title_canon_sha256":"59e2dd370f61224be5dd352b10e844f319ad74a3e1603a748636e53804d3a493"},"schema_version":"1.0","source":{"id":"1711.07809","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.07809","created_at":"2026-05-18T00:29:24Z"},{"alias_kind":"arxiv_version","alias_value":"1711.07809v1","created_at":"2026-05-18T00:29:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.07809","created_at":"2026-05-18T00:29:24Z"},{"alias_kind":"pith_short_12","alias_value":"JSSFQRQOKSF5","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"JSSFQRQOKSF5KMLI","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"JSSFQRQO","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:888c25a394cef0a7ea51faa39f5bb3ad96d28d5daaba33dcb776dc532499aaa3","target":"graph","created_at":"2026-05-18T00:29:24Z","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 obtain a $(p,\\nu)$-extension of Srivastava's triple hypergeometric function $H_B(\\cdot)$, together by using the extended Beta function $B_{p,\\nu}(x,y)$ introduced in arXiv:1502.06200. We give some of the main properties of this extended function, which include several integral representations involving Exton's hypergeometric function, the Mellin transform, a differential formula, recursion formulas and a bounded inequality.","authors_text":"R B Paris, S A Dar","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-11-21T14:39:25Z","title":"A $(p,\\nu)$-extension of Srivastava's triple hypergeometric function and its properties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.07809","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:f69fcaec2c3533af9c8e2d00c8ddacb494f26b7edfd844246c9f05edeef258aa","target":"record","created_at":"2026-05-18T00:29:24Z","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":"33ef1fdcdad0bd0e580a8d743f0cb6c17aa91cc78c75257bad88c2b8ab7c9d4f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-11-21T14:39:25Z","title_canon_sha256":"59e2dd370f61224be5dd352b10e844f319ad74a3e1603a748636e53804d3a493"},"schema_version":"1.0","source":{"id":"1711.07809","kind":"arxiv","version":1}},"canonical_sha256":"4ca458460e548bd53168e83d4a2d2b2763942aebf7f6b015fddb786b27954df0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4ca458460e548bd53168e83d4a2d2b2763942aebf7f6b015fddb786b27954df0","first_computed_at":"2026-05-18T00:29:24.074660Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:29:24.074660Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iePhW73fqPWc6NkoC7i+ep0pyengAQCzksWyWATr6dXWjJ+aDDk1H78Xyb+lX6jjHCCwC/zKf3ljbtsAaqdvAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:29:24.075340Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.07809","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f69fcaec2c3533af9c8e2d00c8ddacb494f26b7edfd844246c9f05edeef258aa","sha256:888c25a394cef0a7ea51faa39f5bb3ad96d28d5daaba33dcb776dc532499aaa3"],"state_sha256":"b72c7c7769820ea67691934f3f26d376c38d2468c8118f4d7b0fcbfa87d78835"}