{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:GKQXIR2RBPYVEXD3DDKN5KNW2X","short_pith_number":"pith:GKQXIR2R","schema_version":"1.0","canonical_sha256":"32a17447510bf1525c7b18d4dea9b6d5ddbd46cc16342cb312cc826c3385578f","source":{"kind":"arxiv","id":"1602.00917","version":2},"attestation_state":"computed","paper":{"title":"HYPERgeometric functions DIfferential REduction: Mathematica-based packages for the differential reduction of generalizedhypergeometric functions: Fc hypergeometric function of three variables","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SC","hep-ph","hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"B. Kniehl, V. Bytev","submitted_at":"2016-02-02T13:30:53Z","abstract_excerpt":"We present a further extension of the HYPERDIRE project, which is devoted to the creation of a set of Mathematica-based program packages for manipulations with Horn-type hypergeometric functions on the basis of differential equations. Specifically, we present the implementation of the differential reduction for the Lauricella function $F_C$ of three variables."},"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":"1602.00917","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-02-02T13:30:53Z","cross_cats_sorted":["cs.SC","hep-ph","hep-th","math.MP"],"title_canon_sha256":"27f3b1ca2088ff2d8708101aa75d24e608fa519932a6acf7cd2d9c81e9e643a5","abstract_canon_sha256":"b77cafb2a987cffbf152c5b285faf661a0daa00ef86ac84e931d8dae1c682af5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:48.618677Z","signature_b64":"oTmBA4Ul+Ku0+NjDOxUaOpxEd/Mniqe832MKiLnW1WCCILelXmWu7wVhmA0woyI3T8woELbaHpzZg7xtjzjfCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"32a17447510bf1525c7b18d4dea9b6d5ddbd46cc16342cb312cc826c3385578f","last_reissued_at":"2026-05-18T01:11:48.618304Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:48.618304Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"HYPERgeometric functions DIfferential REduction: Mathematica-based packages for the differential reduction of generalizedhypergeometric functions: Fc hypergeometric function of three variables","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SC","hep-ph","hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"B. Kniehl, V. Bytev","submitted_at":"2016-02-02T13:30:53Z","abstract_excerpt":"We present a further extension of the HYPERDIRE project, which is devoted to the creation of a set of Mathematica-based program packages for manipulations with Horn-type hypergeometric functions on the basis of differential equations. Specifically, we present the implementation of the differential reduction for the Lauricella function $F_C$ of three variables."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.00917","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":""},"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":"1602.00917","created_at":"2026-05-18T01:11:48.618377+00:00"},{"alias_kind":"arxiv_version","alias_value":"1602.00917v2","created_at":"2026-05-18T01:11:48.618377+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.00917","created_at":"2026-05-18T01:11:48.618377+00:00"},{"alias_kind":"pith_short_12","alias_value":"GKQXIR2RBPYV","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_16","alias_value":"GKQXIR2RBPYVEXD3","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_8","alias_value":"GKQXIR2R","created_at":"2026-05-18T12:30:19.053100+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2605.31553","citing_title":"Numerical analytical continuation of multivariate hypergeometric functions","ref_index":46,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GKQXIR2RBPYVEXD3DDKN5KNW2X","json":"https://pith.science/pith/GKQXIR2RBPYVEXD3DDKN5KNW2X.json","graph_json":"https://pith.science/api/pith-number/GKQXIR2RBPYVEXD3DDKN5KNW2X/graph.json","events_json":"https://pith.science/api/pith-number/GKQXIR2RBPYVEXD3DDKN5KNW2X/events.json","paper":"https://pith.science/paper/GKQXIR2R"},"agent_actions":{"view_html":"https://pith.science/pith/GKQXIR2RBPYVEXD3DDKN5KNW2X","download_json":"https://pith.science/pith/GKQXIR2RBPYVEXD3DDKN5KNW2X.json","view_paper":"https://pith.science/paper/GKQXIR2R","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1602.00917&json=true","fetch_graph":"https://pith.science/api/pith-number/GKQXIR2RBPYVEXD3DDKN5KNW2X/graph.json","fetch_events":"https://pith.science/api/pith-number/GKQXIR2RBPYVEXD3DDKN5KNW2X/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GKQXIR2RBPYVEXD3DDKN5KNW2X/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GKQXIR2RBPYVEXD3DDKN5KNW2X/action/storage_attestation","attest_author":"https://pith.science/pith/GKQXIR2RBPYVEXD3DDKN5KNW2X/action/author_attestation","sign_citation":"https://pith.science/pith/GKQXIR2RBPYVEXD3DDKN5KNW2X/action/citation_signature","submit_replication":"https://pith.science/pith/GKQXIR2RBPYVEXD3DDKN5KNW2X/action/replication_record"}},"created_at":"2026-05-18T01:11:48.618377+00:00","updated_at":"2026-05-18T01:11:48.618377+00:00"}