{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:BFIHDDN3ZPK4GZR3HFO5ZGITDH","short_pith_number":"pith:BFIHDDN3","schema_version":"1.0","canonical_sha256":"0950718dbbcbd5c3663b395ddc991319cd697c624461eda44442a62ec05a01a4","source":{"kind":"arxiv","id":"1601.00124","version":1},"attestation_state":"computed","paper":{"title":"On a conjecture of a logarithmically completely monotonic function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Armend Sh. Shabani, Valmir Krasniqi","submitted_at":"2016-01-01T23:25:43Z","abstract_excerpt":"In this short note we prove a conjecture for the interval $(0,1)$, related to a logarithmically completely monotonic function, presented in \\cite{BG}. Then, we extend by proving a more generalized theorem. At the end we pose an open problem on a logarithmically completely monotonic function involving $q$-Digamma function."},"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":"1601.00124","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-01-01T23:25:43Z","cross_cats_sorted":[],"title_canon_sha256":"989a0c192af7d60c3ab197948e08f24916005e734b34d5b368b513c3577bad35","abstract_canon_sha256":"aa8faa044b172855481adbd20249e95434cfa2266682d73092fba1ab71349e35"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:28.400829Z","signature_b64":"Q9MAo/sALRx0Jbv/pgD26s8cl4m8PAp3gAE1c9fBV3L+UhrSK/j58mn4kVhdQOrkM/vVHgcbaXITMgD2wSA+Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0950718dbbcbd5c3663b395ddc991319cd697c624461eda44442a62ec05a01a4","last_reissued_at":"2026-05-18T01:23:28.400107Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:28.400107Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On a conjecture of a logarithmically completely monotonic function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Armend Sh. Shabani, Valmir Krasniqi","submitted_at":"2016-01-01T23:25:43Z","abstract_excerpt":"In this short note we prove a conjecture for the interval $(0,1)$, related to a logarithmically completely monotonic function, presented in \\cite{BG}. Then, we extend by proving a more generalized theorem. At the end we pose an open problem on a logarithmically completely monotonic function involving $q$-Digamma function."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.00124","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":"1601.00124","created_at":"2026-05-18T01:23:28.400211+00:00"},{"alias_kind":"arxiv_version","alias_value":"1601.00124v1","created_at":"2026-05-18T01:23:28.400211+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.00124","created_at":"2026-05-18T01:23:28.400211+00:00"},{"alias_kind":"pith_short_12","alias_value":"BFIHDDN3ZPK4","created_at":"2026-05-18T12:30:07.202191+00:00"},{"alias_kind":"pith_short_16","alias_value":"BFIHDDN3ZPK4GZR3","created_at":"2026-05-18T12:30:07.202191+00:00"},{"alias_kind":"pith_short_8","alias_value":"BFIHDDN3","created_at":"2026-05-18T12:30:07.202191+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/BFIHDDN3ZPK4GZR3HFO5ZGITDH","json":"https://pith.science/pith/BFIHDDN3ZPK4GZR3HFO5ZGITDH.json","graph_json":"https://pith.science/api/pith-number/BFIHDDN3ZPK4GZR3HFO5ZGITDH/graph.json","events_json":"https://pith.science/api/pith-number/BFIHDDN3ZPK4GZR3HFO5ZGITDH/events.json","paper":"https://pith.science/paper/BFIHDDN3"},"agent_actions":{"view_html":"https://pith.science/pith/BFIHDDN3ZPK4GZR3HFO5ZGITDH","download_json":"https://pith.science/pith/BFIHDDN3ZPK4GZR3HFO5ZGITDH.json","view_paper":"https://pith.science/paper/BFIHDDN3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1601.00124&json=true","fetch_graph":"https://pith.science/api/pith-number/BFIHDDN3ZPK4GZR3HFO5ZGITDH/graph.json","fetch_events":"https://pith.science/api/pith-number/BFIHDDN3ZPK4GZR3HFO5ZGITDH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BFIHDDN3ZPK4GZR3HFO5ZGITDH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BFIHDDN3ZPK4GZR3HFO5ZGITDH/action/storage_attestation","attest_author":"https://pith.science/pith/BFIHDDN3ZPK4GZR3HFO5ZGITDH/action/author_attestation","sign_citation":"https://pith.science/pith/BFIHDDN3ZPK4GZR3HFO5ZGITDH/action/citation_signature","submit_replication":"https://pith.science/pith/BFIHDDN3ZPK4GZR3HFO5ZGITDH/action/replication_record"}},"created_at":"2026-05-18T01:23:28.400211+00:00","updated_at":"2026-05-18T01:23:28.400211+00:00"}