{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:6REJ4E5P75IWZMDMDGH5HTJAGI","short_pith_number":"pith:6REJ4E5P","schema_version":"1.0","canonical_sha256":"f4489e13afff516cb06c198fd3cd203213780d91ee15925de623a671f7452e0b","source":{"kind":"arxiv","id":"1904.07005","version":1},"attestation_state":"computed","paper":{"title":"Quasi Fibonacci approximation to the low tiny fluctuations of the Li-Keiper coefficients: a numerical computation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GM","authors_text":"Merlini Danilo, Sala Massimo, Sala Nicoletta","submitted_at":"2019-04-15T12:48:43Z","abstract_excerpt":"Using the first discrete derivatives for the expansion in z=0 of the oscillating part lambdatiny(n) =lambda n* of the \"tiny\" Li-Keiper coefficients , we analyse two series in the variable z=1-1/s ~0 for the first low values and compare them with the exact series. The numerical results suggest interesting more \"sophisticated\" approximations."},"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":"1904.07005","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GM","submitted_at":"2019-04-15T12:48:43Z","cross_cats_sorted":[],"title_canon_sha256":"c92b06eafa8823268ab8b214fdb69946ecd1a483f42c18724a192ab7dd02c36f","abstract_canon_sha256":"fd3c1f4f23693d1f4edc3f40242b5e3ddc96f5e7314c92a9a6292f44aa364ff1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:48:35.506911Z","signature_b64":"oOB1dRsvcqDNXjX+vTpEoN2PZ51IDE/AIJdCrFZ+fffe4Xw6prl3c6TsnpukDc0OfxpS/1KjDzT0eAXz8wGsBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f4489e13afff516cb06c198fd3cd203213780d91ee15925de623a671f7452e0b","last_reissued_at":"2026-05-17T23:48:35.506288Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:48:35.506288Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quasi Fibonacci approximation to the low tiny fluctuations of the Li-Keiper coefficients: a numerical computation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GM","authors_text":"Merlini Danilo, Sala Massimo, Sala Nicoletta","submitted_at":"2019-04-15T12:48:43Z","abstract_excerpt":"Using the first discrete derivatives for the expansion in z=0 of the oscillating part lambdatiny(n) =lambda n* of the \"tiny\" Li-Keiper coefficients , we analyse two series in the variable z=1-1/s ~0 for the first low values and compare them with the exact series. The numerical results suggest interesting more \"sophisticated\" approximations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.07005","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":"1904.07005","created_at":"2026-05-17T23:48:35.506400+00:00"},{"alias_kind":"arxiv_version","alias_value":"1904.07005v1","created_at":"2026-05-17T23:48:35.506400+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.07005","created_at":"2026-05-17T23:48:35.506400+00:00"},{"alias_kind":"pith_short_12","alias_value":"6REJ4E5P75IW","created_at":"2026-05-18T12:33:10.108867+00:00"},{"alias_kind":"pith_short_16","alias_value":"6REJ4E5P75IWZMDM","created_at":"2026-05-18T12:33:10.108867+00:00"},{"alias_kind":"pith_short_8","alias_value":"6REJ4E5P","created_at":"2026-05-18T12:33:10.108867+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1907.01903","citing_title":"Analysis of a Complex approximation to the Li-Keiper coefficients around the K Function","ref_index":8,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6REJ4E5P75IWZMDMDGH5HTJAGI","json":"https://pith.science/pith/6REJ4E5P75IWZMDMDGH5HTJAGI.json","graph_json":"https://pith.science/api/pith-number/6REJ4E5P75IWZMDMDGH5HTJAGI/graph.json","events_json":"https://pith.science/api/pith-number/6REJ4E5P75IWZMDMDGH5HTJAGI/events.json","paper":"https://pith.science/paper/6REJ4E5P"},"agent_actions":{"view_html":"https://pith.science/pith/6REJ4E5P75IWZMDMDGH5HTJAGI","download_json":"https://pith.science/pith/6REJ4E5P75IWZMDMDGH5HTJAGI.json","view_paper":"https://pith.science/paper/6REJ4E5P","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1904.07005&json=true","fetch_graph":"https://pith.science/api/pith-number/6REJ4E5P75IWZMDMDGH5HTJAGI/graph.json","fetch_events":"https://pith.science/api/pith-number/6REJ4E5P75IWZMDMDGH5HTJAGI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6REJ4E5P75IWZMDMDGH5HTJAGI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6REJ4E5P75IWZMDMDGH5HTJAGI/action/storage_attestation","attest_author":"https://pith.science/pith/6REJ4E5P75IWZMDMDGH5HTJAGI/action/author_attestation","sign_citation":"https://pith.science/pith/6REJ4E5P75IWZMDMDGH5HTJAGI/action/citation_signature","submit_replication":"https://pith.science/pith/6REJ4E5P75IWZMDMDGH5HTJAGI/action/replication_record"}},"created_at":"2026-05-17T23:48:35.506400+00:00","updated_at":"2026-05-17T23:48:35.506400+00:00"}