{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:I7M7MSYYWONTCXK2TGYYPQIDSP","short_pith_number":"pith:I7M7MSYY","schema_version":"1.0","canonical_sha256":"47d9f64b18b39b315d5a99b187c10393fdeba8f0121b657692b65130b0ff11e2","source":{"kind":"arxiv","id":"2003.11419","version":2},"attestation_state":"computed","paper":{"title":"On the incomplete Lauricella matrix functions of several variables","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Ashish Verma","submitted_at":"2020-03-17T04:46:43Z","abstract_excerpt":"In this article, we introduce incomplete Lauricella matrix functions (ILMFs) of $n$ variables through application of the incomplete Pochhammer matrix symbols. Furthermore there is derivation of certain properties; matrix differential equation, integral formula, recursion formula and differentiation formula of the ILMFs. We also establish the connection between these matrix functions and other peculiar matrix functions; incomplete gamma matrix function, Laguerre, Bessel and modified Bessel matrix functions."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2003.11419","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2020-03-17T04:46:43Z","cross_cats_sorted":[],"title_canon_sha256":"c45717ce4e2ab98c63ae6100027533d62739881e2ff3e7befad19113274ce009","abstract_canon_sha256":"181d5d56c387f2f016930751082370c748abdf5a9d9dd08a176bddf23c15dfd5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-02T01:03:27.435631Z","signature_b64":"1p9d1wsFl1fYPaUfn81D9A1tknqPMKzjb7PIJ8ejYo1xqSUhKpALAh/D02V/Yn46fS0xX7oaP3pfSyS5xu51CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"47d9f64b18b39b315d5a99b187c10393fdeba8f0121b657692b65130b0ff11e2","last_reissued_at":"2026-06-02T01:03:27.435259Z","signature_status":"signed_v1","first_computed_at":"2026-06-02T01:03:27.435259Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the incomplete Lauricella matrix functions of several variables","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Ashish Verma","submitted_at":"2020-03-17T04:46:43Z","abstract_excerpt":"In this article, we introduce incomplete Lauricella matrix functions (ILMFs) of $n$ variables through application of the incomplete Pochhammer matrix symbols. Furthermore there is derivation of certain properties; matrix differential equation, integral formula, recursion formula and differentiation formula of the ILMFs. We also establish the connection between these matrix functions and other peculiar matrix functions; incomplete gamma matrix function, Laguerre, Bessel and modified Bessel matrix functions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2003.11419","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2003.11419/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2003.11419","created_at":"2026-06-02T01:03:27.435320+00:00"},{"alias_kind":"arxiv_version","alias_value":"2003.11419v2","created_at":"2026-06-02T01:03:27.435320+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2003.11419","created_at":"2026-06-02T01:03:27.435320+00:00"},{"alias_kind":"pith_short_12","alias_value":"I7M7MSYYWONT","created_at":"2026-06-02T01:03:27.435320+00:00"},{"alias_kind":"pith_short_16","alias_value":"I7M7MSYYWONTCXK2","created_at":"2026-06-02T01:03:27.435320+00:00"},{"alias_kind":"pith_short_8","alias_value":"I7M7MSYY","created_at":"2026-06-02T01:03:27.435320+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/I7M7MSYYWONTCXK2TGYYPQIDSP","json":"https://pith.science/pith/I7M7MSYYWONTCXK2TGYYPQIDSP.json","graph_json":"https://pith.science/api/pith-number/I7M7MSYYWONTCXK2TGYYPQIDSP/graph.json","events_json":"https://pith.science/api/pith-number/I7M7MSYYWONTCXK2TGYYPQIDSP/events.json","paper":"https://pith.science/paper/I7M7MSYY"},"agent_actions":{"view_html":"https://pith.science/pith/I7M7MSYYWONTCXK2TGYYPQIDSP","download_json":"https://pith.science/pith/I7M7MSYYWONTCXK2TGYYPQIDSP.json","view_paper":"https://pith.science/paper/I7M7MSYY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2003.11419&json=true","fetch_graph":"https://pith.science/api/pith-number/I7M7MSYYWONTCXK2TGYYPQIDSP/graph.json","fetch_events":"https://pith.science/api/pith-number/I7M7MSYYWONTCXK2TGYYPQIDSP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/I7M7MSYYWONTCXK2TGYYPQIDSP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/I7M7MSYYWONTCXK2TGYYPQIDSP/action/storage_attestation","attest_author":"https://pith.science/pith/I7M7MSYYWONTCXK2TGYYPQIDSP/action/author_attestation","sign_citation":"https://pith.science/pith/I7M7MSYYWONTCXK2TGYYPQIDSP/action/citation_signature","submit_replication":"https://pith.science/pith/I7M7MSYYWONTCXK2TGYYPQIDSP/action/replication_record"}},"created_at":"2026-06-02T01:03:27.435320+00:00","updated_at":"2026-06-02T01:03:27.435320+00:00"}