{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:BEVLZP6BD32LADHLUTBG5LAKTS","short_pith_number":"pith:BEVLZP6B","schema_version":"1.0","canonical_sha256":"092abcbfc11ef4b00ceba4c26eac0a9ca24d44c3be9752e2dc8f10596dd240c1","source":{"kind":"arxiv","id":"1305.3113","version":2},"attestation_state":"computed","paper":{"title":"Hypergeometric type functions and their symmetries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Jan Derezi\\'nski","submitted_at":"2013-05-14T11:24:03Z","abstract_excerpt":"We give a systematic and unified discussion of various classes of hypergeometric type equations: the hypergeometric equation, the confluent equation, the F_1 equation (equivalent to the Bessel equation), the Gegenbauer equation and the Hermite equation. In particular, we discuss recurrence relations of their solutions, their integral representations and discrete symmetries."},"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":"1305.3113","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-05-14T11:24:03Z","cross_cats_sorted":[],"title_canon_sha256":"216be15ead67802c67674f22cacec6fb3bbb0aec600aa9dd496c066b1cebc7fa","abstract_canon_sha256":"4f6d477e4562a458a6cbc500023996d24ef4c8b364e919ae628be877b7cb730e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:50:02.350332Z","signature_b64":"Yu+wZWh9+zJCEUj5k3Q3k+9ytIfs5GL3YYr7xG8SyC+iCAgEX4bs/zwHWE0nhG/kp4oV3VZ7YdaO3CfKutePDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"092abcbfc11ef4b00ceba4c26eac0a9ca24d44c3be9752e2dc8f10596dd240c1","last_reissued_at":"2026-05-18T01:50:02.349780Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:50:02.349780Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hypergeometric type functions and their symmetries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Jan Derezi\\'nski","submitted_at":"2013-05-14T11:24:03Z","abstract_excerpt":"We give a systematic and unified discussion of various classes of hypergeometric type equations: the hypergeometric equation, the confluent equation, the F_1 equation (equivalent to the Bessel equation), the Gegenbauer equation and the Hermite equation. In particular, we discuss recurrence relations of their solutions, their integral representations and discrete symmetries."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.3113","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":"1305.3113","created_at":"2026-05-18T01:50:02.349874+00:00"},{"alias_kind":"arxiv_version","alias_value":"1305.3113v2","created_at":"2026-05-18T01:50:02.349874+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.3113","created_at":"2026-05-18T01:50:02.349874+00:00"},{"alias_kind":"pith_short_12","alias_value":"BEVLZP6BD32L","created_at":"2026-05-18T12:27:38.830355+00:00"},{"alias_kind":"pith_short_16","alias_value":"BEVLZP6BD32LADHL","created_at":"2026-05-18T12:27:38.830355+00:00"},{"alias_kind":"pith_short_8","alias_value":"BEVLZP6B","created_at":"2026-05-18T12:27:38.830355+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/BEVLZP6BD32LADHLUTBG5LAKTS","json":"https://pith.science/pith/BEVLZP6BD32LADHLUTBG5LAKTS.json","graph_json":"https://pith.science/api/pith-number/BEVLZP6BD32LADHLUTBG5LAKTS/graph.json","events_json":"https://pith.science/api/pith-number/BEVLZP6BD32LADHLUTBG5LAKTS/events.json","paper":"https://pith.science/paper/BEVLZP6B"},"agent_actions":{"view_html":"https://pith.science/pith/BEVLZP6BD32LADHLUTBG5LAKTS","download_json":"https://pith.science/pith/BEVLZP6BD32LADHLUTBG5LAKTS.json","view_paper":"https://pith.science/paper/BEVLZP6B","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1305.3113&json=true","fetch_graph":"https://pith.science/api/pith-number/BEVLZP6BD32LADHLUTBG5LAKTS/graph.json","fetch_events":"https://pith.science/api/pith-number/BEVLZP6BD32LADHLUTBG5LAKTS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BEVLZP6BD32LADHLUTBG5LAKTS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BEVLZP6BD32LADHLUTBG5LAKTS/action/storage_attestation","attest_author":"https://pith.science/pith/BEVLZP6BD32LADHLUTBG5LAKTS/action/author_attestation","sign_citation":"https://pith.science/pith/BEVLZP6BD32LADHLUTBG5LAKTS/action/citation_signature","submit_replication":"https://pith.science/pith/BEVLZP6BD32LADHLUTBG5LAKTS/action/replication_record"}},"created_at":"2026-05-18T01:50:02.349874+00:00","updated_at":"2026-05-18T01:50:02.349874+00:00"}