{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:4UDKYXWFFQ3GZ5UIJB7GXXO32W","short_pith_number":"pith:4UDKYXWF","schema_version":"1.0","canonical_sha256":"e506ac5ec52c366cf688487e6bdddbd584d7a02b16524bc08d819d5d063b0d4f","source":{"kind":"arxiv","id":"1508.04315","version":1},"attestation_state":"computed","paper":{"title":"A solution to Open Problem 3.137 by O. Furdui on multiple factorial series","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Ulrich Abel","submitted_at":"2015-08-18T13:42:44Z","abstract_excerpt":"In this paper we give a closed expression for a multiple factorial series, solving Open Problem 3.137 in a recent book by O. Furdui. The method is based on properties of divided differences. It applies also to similar series and certain generalizations."},"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":"1508.04315","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-08-18T13:42:44Z","cross_cats_sorted":[],"title_canon_sha256":"56fe79df7631e08876ff0c6b37c6312b87b91a2afce1222adef138e482f2af3b","abstract_canon_sha256":"477bc9e7b08c8099efb45c4d036ffe01e14aed4abed7f77127a921b5bb93f81a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:35:05.663503Z","signature_b64":"W+pihkB1Oi8dyi/1PUwEIaY2yve5hZVoDMFvCM9ZgMlz9XKXp+PzUNEaJKbL0Hpmnt6WXdL9QfXsKyywHW2/Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e506ac5ec52c366cf688487e6bdddbd584d7a02b16524bc08d819d5d063b0d4f","last_reissued_at":"2026-05-18T01:35:05.662800Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:35:05.662800Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A solution to Open Problem 3.137 by O. Furdui on multiple factorial series","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Ulrich Abel","submitted_at":"2015-08-18T13:42:44Z","abstract_excerpt":"In this paper we give a closed expression for a multiple factorial series, solving Open Problem 3.137 in a recent book by O. Furdui. The method is based on properties of divided differences. It applies also to similar series and certain generalizations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.04315","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1508.04315","created_at":"2026-05-18T01:35:05.662910+00:00"},{"alias_kind":"arxiv_version","alias_value":"1508.04315v1","created_at":"2026-05-18T01:35:05.662910+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.04315","created_at":"2026-05-18T01:35:05.662910+00:00"},{"alias_kind":"pith_short_12","alias_value":"4UDKYXWFFQ3G","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_16","alias_value":"4UDKYXWFFQ3GZ5UI","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_8","alias_value":"4UDKYXWF","created_at":"2026-05-18T12:29:05.191682+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/4UDKYXWFFQ3GZ5UIJB7GXXO32W","json":"https://pith.science/pith/4UDKYXWFFQ3GZ5UIJB7GXXO32W.json","graph_json":"https://pith.science/api/pith-number/4UDKYXWFFQ3GZ5UIJB7GXXO32W/graph.json","events_json":"https://pith.science/api/pith-number/4UDKYXWFFQ3GZ5UIJB7GXXO32W/events.json","paper":"https://pith.science/paper/4UDKYXWF"},"agent_actions":{"view_html":"https://pith.science/pith/4UDKYXWFFQ3GZ5UIJB7GXXO32W","download_json":"https://pith.science/pith/4UDKYXWFFQ3GZ5UIJB7GXXO32W.json","view_paper":"https://pith.science/paper/4UDKYXWF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1508.04315&json=true","fetch_graph":"https://pith.science/api/pith-number/4UDKYXWFFQ3GZ5UIJB7GXXO32W/graph.json","fetch_events":"https://pith.science/api/pith-number/4UDKYXWFFQ3GZ5UIJB7GXXO32W/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4UDKYXWFFQ3GZ5UIJB7GXXO32W/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4UDKYXWFFQ3GZ5UIJB7GXXO32W/action/storage_attestation","attest_author":"https://pith.science/pith/4UDKYXWFFQ3GZ5UIJB7GXXO32W/action/author_attestation","sign_citation":"https://pith.science/pith/4UDKYXWFFQ3GZ5UIJB7GXXO32W/action/citation_signature","submit_replication":"https://pith.science/pith/4UDKYXWFFQ3GZ5UIJB7GXXO32W/action/replication_record"}},"created_at":"2026-05-18T01:35:05.662910+00:00","updated_at":"2026-05-18T01:35:05.662910+00:00"}