{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:ZDRPCYX6WOH3AFKEBYRQ3667GT","short_pith_number":"pith:ZDRPCYX6","schema_version":"1.0","canonical_sha256":"c8e2f162feb38fb015440e230dfbdf34c3e36ae2046253855e7c5d05238e73ab","source":{"kind":"arxiv","id":"1805.04486","version":1},"attestation_state":"computed","paper":{"title":"Explicit expressions for higher order convolutions of Cauchy numbers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Alberto Lekuona, Jos\\'e A. Adell","submitted_at":"2018-05-11T16:46:16Z","abstract_excerpt":"We give explicit expressions for higher order convolutions of Cauchy numbers, either as one single integral or in terms of the Stirling numbers of the first and second kinds."},"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":"1805.04486","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-05-11T16:46:16Z","cross_cats_sorted":[],"title_canon_sha256":"f3638d1dce6c0dbedd70603e5a4fbac86db3f9b02252deb8e54c062e900e9e90","abstract_canon_sha256":"29343d016b9131496e60ef3039279469d064da67950b35161c0b6ff411bc6b38"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:16:10.155824Z","signature_b64":"HfCWZsgaunIOfohWF17bweNJFU/e75asFD0JAl0eGszsGLB7bv+x4aAFUzGjMfIWkkXO4oK0RMve4qzyxBi3DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c8e2f162feb38fb015440e230dfbdf34c3e36ae2046253855e7c5d05238e73ab","last_reissued_at":"2026-05-18T00:16:10.155049Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:16:10.155049Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Explicit expressions for higher order convolutions of Cauchy numbers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Alberto Lekuona, Jos\\'e A. Adell","submitted_at":"2018-05-11T16:46:16Z","abstract_excerpt":"We give explicit expressions for higher order convolutions of Cauchy numbers, either as one single integral or in terms of the Stirling numbers of the first and second kinds."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.04486","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":"1805.04486","created_at":"2026-05-18T00:16:10.155165+00:00"},{"alias_kind":"arxiv_version","alias_value":"1805.04486v1","created_at":"2026-05-18T00:16:10.155165+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.04486","created_at":"2026-05-18T00:16:10.155165+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZDRPCYX6WOH3","created_at":"2026-05-18T12:33:07.085635+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZDRPCYX6WOH3AFKE","created_at":"2026-05-18T12:33:07.085635+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZDRPCYX6","created_at":"2026-05-18T12:33:07.085635+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/ZDRPCYX6WOH3AFKEBYRQ3667GT","json":"https://pith.science/pith/ZDRPCYX6WOH3AFKEBYRQ3667GT.json","graph_json":"https://pith.science/api/pith-number/ZDRPCYX6WOH3AFKEBYRQ3667GT/graph.json","events_json":"https://pith.science/api/pith-number/ZDRPCYX6WOH3AFKEBYRQ3667GT/events.json","paper":"https://pith.science/paper/ZDRPCYX6"},"agent_actions":{"view_html":"https://pith.science/pith/ZDRPCYX6WOH3AFKEBYRQ3667GT","download_json":"https://pith.science/pith/ZDRPCYX6WOH3AFKEBYRQ3667GT.json","view_paper":"https://pith.science/paper/ZDRPCYX6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1805.04486&json=true","fetch_graph":"https://pith.science/api/pith-number/ZDRPCYX6WOH3AFKEBYRQ3667GT/graph.json","fetch_events":"https://pith.science/api/pith-number/ZDRPCYX6WOH3AFKEBYRQ3667GT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZDRPCYX6WOH3AFKEBYRQ3667GT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZDRPCYX6WOH3AFKEBYRQ3667GT/action/storage_attestation","attest_author":"https://pith.science/pith/ZDRPCYX6WOH3AFKEBYRQ3667GT/action/author_attestation","sign_citation":"https://pith.science/pith/ZDRPCYX6WOH3AFKEBYRQ3667GT/action/citation_signature","submit_replication":"https://pith.science/pith/ZDRPCYX6WOH3AFKEBYRQ3667GT/action/replication_record"}},"created_at":"2026-05-18T00:16:10.155165+00:00","updated_at":"2026-05-18T00:16:10.155165+00:00"}