{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:IOZJFJOEP4V3C25AJ47ZU7NFWU","short_pith_number":"pith:IOZJFJOE","schema_version":"1.0","canonical_sha256":"43b292a5c47f2bb16ba04f3f9a7da5b520a1d5c729ac1d38b58e9a04878655e3","source":{"kind":"arxiv","id":"1905.06171","version":1},"attestation_state":"computed","paper":{"title":"Geometric Polynomials: Properties and Applications to Series with Zeta Values","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.NT","authors_text":"Ayhan Dil, Khristo N. Boyadzhiev","submitted_at":"2019-05-15T13:31:55Z","abstract_excerpt":"We provide several properties of the geometric polynomials discussed in earlier works of the authors. Further, the geometric polynomials are used to obtain a closed form evaluation of certain series involving Riemann's zeta 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":"1905.06171","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-05-15T13:31:55Z","cross_cats_sorted":["math.CA"],"title_canon_sha256":"5292cecffe8b6e80e2db12163a683e5f189d62bf37af870fe12f2bf7ca502abd","abstract_canon_sha256":"abc07b7db0dcaf5951a38ec9375879b121c132364aa97b6d136b748a496dd234"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:46:07.262638Z","signature_b64":"3MaQ+3cpkOQngjkG5ZTJcf+wIWYf/zov9Fzxg6PfiwxzRwlXlp43nvy1EjB/fS4C/cbyaX4cTOap9Xj0R/JJAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"43b292a5c47f2bb16ba04f3f9a7da5b520a1d5c729ac1d38b58e9a04878655e3","last_reissued_at":"2026-05-17T23:46:07.261901Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:46:07.261901Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Geometric Polynomials: Properties and Applications to Series with Zeta Values","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.NT","authors_text":"Ayhan Dil, Khristo N. Boyadzhiev","submitted_at":"2019-05-15T13:31:55Z","abstract_excerpt":"We provide several properties of the geometric polynomials discussed in earlier works of the authors. Further, the geometric polynomials are used to obtain a closed form evaluation of certain series involving Riemann's zeta function."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.06171","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":"1905.06171","created_at":"2026-05-17T23:46:07.261995+00:00"},{"alias_kind":"arxiv_version","alias_value":"1905.06171v1","created_at":"2026-05-17T23:46:07.261995+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.06171","created_at":"2026-05-17T23:46:07.261995+00:00"},{"alias_kind":"pith_short_12","alias_value":"IOZJFJOEP4V3","created_at":"2026-05-18T12:33:18.533446+00:00"},{"alias_kind":"pith_short_16","alias_value":"IOZJFJOEP4V3C25A","created_at":"2026-05-18T12:33:18.533446+00:00"},{"alias_kind":"pith_short_8","alias_value":"IOZJFJOE","created_at":"2026-05-18T12:33:18.533446+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/IOZJFJOEP4V3C25AJ47ZU7NFWU","json":"https://pith.science/pith/IOZJFJOEP4V3C25AJ47ZU7NFWU.json","graph_json":"https://pith.science/api/pith-number/IOZJFJOEP4V3C25AJ47ZU7NFWU/graph.json","events_json":"https://pith.science/api/pith-number/IOZJFJOEP4V3C25AJ47ZU7NFWU/events.json","paper":"https://pith.science/paper/IOZJFJOE"},"agent_actions":{"view_html":"https://pith.science/pith/IOZJFJOEP4V3C25AJ47ZU7NFWU","download_json":"https://pith.science/pith/IOZJFJOEP4V3C25AJ47ZU7NFWU.json","view_paper":"https://pith.science/paper/IOZJFJOE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1905.06171&json=true","fetch_graph":"https://pith.science/api/pith-number/IOZJFJOEP4V3C25AJ47ZU7NFWU/graph.json","fetch_events":"https://pith.science/api/pith-number/IOZJFJOEP4V3C25AJ47ZU7NFWU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IOZJFJOEP4V3C25AJ47ZU7NFWU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IOZJFJOEP4V3C25AJ47ZU7NFWU/action/storage_attestation","attest_author":"https://pith.science/pith/IOZJFJOEP4V3C25AJ47ZU7NFWU/action/author_attestation","sign_citation":"https://pith.science/pith/IOZJFJOEP4V3C25AJ47ZU7NFWU/action/citation_signature","submit_replication":"https://pith.science/pith/IOZJFJOEP4V3C25AJ47ZU7NFWU/action/replication_record"}},"created_at":"2026-05-17T23:46:07.261995+00:00","updated_at":"2026-05-17T23:46:07.261995+00:00"}