{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:JSSFQRQOKSF5KMLI5A6UULJLE5","short_pith_number":"pith:JSSFQRQO","canonical_record":{"source":{"id":"1711.07809","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-11-21T14:39:25Z","cross_cats_sorted":[],"title_canon_sha256":"59e2dd370f61224be5dd352b10e844f319ad74a3e1603a748636e53804d3a493","abstract_canon_sha256":"33ef1fdcdad0bd0e580a8d743f0cb6c17aa91cc78c75257bad88c2b8ab7c9d4f"},"schema_version":"1.0"},"canonical_sha256":"4ca458460e548bd53168e83d4a2d2b2763942aebf7f6b015fddb786b27954df0","source":{"kind":"arxiv","id":"1711.07809","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:JSSFQRQOKSF5KMLI5A6UULJLE5","target":"record","payload":{"canonical_record":{"source":{"id":"1711.07809","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-11-21T14:39:25Z","cross_cats_sorted":[],"title_canon_sha256":"59e2dd370f61224be5dd352b10e844f319ad74a3e1603a748636e53804d3a493","abstract_canon_sha256":"33ef1fdcdad0bd0e580a8d743f0cb6c17aa91cc78c75257bad88c2b8ab7c9d4f"},"schema_version":"1.0"},"canonical_sha256":"4ca458460e548bd53168e83d4a2d2b2763942aebf7f6b015fddb786b27954df0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:29:24.075340Z","signature_b64":"iePhW73fqPWc6NkoC7i+ep0pyengAQCzksWyWATr6dXWjJ+aDDk1H78Xyb+lX6jjHCCwC/zKf3ljbtsAaqdvAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4ca458460e548bd53168e83d4a2d2b2763942aebf7f6b015fddb786b27954df0","last_reissued_at":"2026-05-18T00:29:24.074660Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:29:24.074660Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1711.07809","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:29:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1YArVxwVsXD8D8nBMVomwdwvQDxs0ShSrZEUj8YDOzNEayIfEoWPlYtghHftgo+9ZOK8HexSRJUBIlT0XCfGAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T23:15:13.991580Z"},"content_sha256":"f69fcaec2c3533af9c8e2d00c8ddacb494f26b7edfd844246c9f05edeef258aa","schema_version":"1.0","event_id":"sha256:f69fcaec2c3533af9c8e2d00c8ddacb494f26b7edfd844246c9f05edeef258aa"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:JSSFQRQOKSF5KMLI5A6UULJLE5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A $(p,\\nu)$-extension of Srivastava's triple hypergeometric function and its properties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"R B Paris, S A Dar","submitted_at":"2017-11-21T14:39:25Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.07809","kind":"arxiv","version":1},"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":"2026-05-18T00:29:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8s8BNMSsSJyzcFzHOEEtxcwaZZpKBPJ2mYk4loeRQt7LbUlDoHcY9YeJX5kvdTuUQmaXqmyTZZlQysrMNxSmAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T23:15:13.992149Z"},"content_sha256":"888c25a394cef0a7ea51faa39f5bb3ad96d28d5daaba33dcb776dc532499aaa3","schema_version":"1.0","event_id":"sha256:888c25a394cef0a7ea51faa39f5bb3ad96d28d5daaba33dcb776dc532499aaa3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JSSFQRQOKSF5KMLI5A6UULJLE5/bundle.json","state_url":"https://pith.science/pith/JSSFQRQOKSF5KMLI5A6UULJLE5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JSSFQRQOKSF5KMLI5A6UULJLE5/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":"2026-06-11T23:15:13Z","links":{"resolver":"https://pith.science/pith/JSSFQRQOKSF5KMLI5A6UULJLE5","bundle":"https://pith.science/pith/JSSFQRQOKSF5KMLI5A6UULJLE5/bundle.json","state":"https://pith.science/pith/JSSFQRQOKSF5KMLI5A6UULJLE5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JSSFQRQOKSF5KMLI5A6UULJLE5/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5kr0PrkAVnCQf7aCLeVbFR7BDufag9YgQcDhqO4eAQCjzHGvkGn9A06ADAQuFBlERKlPyXyXaUFkYtQd2jNlDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T23:15:13.995418Z","bundle_sha256":"338797b7c7d8e85b9aa15cdf15dcc60d487f6514f65bae9f66d6c2c920f8920d"}}