{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:C3AHKPDNTMAENYLRKFXYK4BMQ3","short_pith_number":"pith:C3AHKPDN","schema_version":"1.0","canonical_sha256":"16c0753c6d9b0046e171516f85702c86e507a63a43d8913a4b54ee69d1defdc4","source":{"kind":"arxiv","id":"1508.00177","version":1},"attestation_state":"computed","paper":{"title":"Continued fraction expression of the Mathieu series","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.CA","authors_text":"Wenguang Zhai, Xiaodong Cao, Yoshio Tanigawa","submitted_at":"2015-08-02T00:08:53Z","abstract_excerpt":"In this paper, we represent a continued fraction expression of Mathieu series by a continued fraction formula of Ramanujan. As application, we obtain some new bounds for Mathieu series."},"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":"1508.00177","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-08-02T00:08:53Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"151b99edd822435b335edb6e917ce6b681a669d85cb037eaa91c4bdf7e3d2891","abstract_canon_sha256":"3debfdd5dde1029a6509793221c35637504de9715fbd50f4893216cbb18455a6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:35:58.787800Z","signature_b64":"gnf84HGqiJXYX+6lBvb3Um6y7tHYq7vQlp4iWyhLgC1QEmwGQeKOBi6HnRTX2grqag/WjHCzTOxtIeRIgyOlBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"16c0753c6d9b0046e171516f85702c86e507a63a43d8913a4b54ee69d1defdc4","last_reissued_at":"2026-05-18T01:35:58.787288Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:35:58.787288Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Continued fraction expression of the Mathieu series","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.CA","authors_text":"Wenguang Zhai, Xiaodong Cao, Yoshio Tanigawa","submitted_at":"2015-08-02T00:08:53Z","abstract_excerpt":"In this paper, we represent a continued fraction expression of Mathieu series by a continued fraction formula of Ramanujan. As application, we obtain some new bounds for Mathieu series."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.00177","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":"1508.00177","created_at":"2026-05-18T01:35:58.787377+00:00"},{"alias_kind":"arxiv_version","alias_value":"1508.00177v1","created_at":"2026-05-18T01:35:58.787377+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.00177","created_at":"2026-05-18T01:35:58.787377+00:00"},{"alias_kind":"pith_short_12","alias_value":"C3AHKPDNTMAE","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_16","alias_value":"C3AHKPDNTMAENYLR","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_8","alias_value":"C3AHKPDN","created_at":"2026-05-18T12:29:14.074870+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/C3AHKPDNTMAENYLRKFXYK4BMQ3","json":"https://pith.science/pith/C3AHKPDNTMAENYLRKFXYK4BMQ3.json","graph_json":"https://pith.science/api/pith-number/C3AHKPDNTMAENYLRKFXYK4BMQ3/graph.json","events_json":"https://pith.science/api/pith-number/C3AHKPDNTMAENYLRKFXYK4BMQ3/events.json","paper":"https://pith.science/paper/C3AHKPDN"},"agent_actions":{"view_html":"https://pith.science/pith/C3AHKPDNTMAENYLRKFXYK4BMQ3","download_json":"https://pith.science/pith/C3AHKPDNTMAENYLRKFXYK4BMQ3.json","view_paper":"https://pith.science/paper/C3AHKPDN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1508.00177&json=true","fetch_graph":"https://pith.science/api/pith-number/C3AHKPDNTMAENYLRKFXYK4BMQ3/graph.json","fetch_events":"https://pith.science/api/pith-number/C3AHKPDNTMAENYLRKFXYK4BMQ3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/C3AHKPDNTMAENYLRKFXYK4BMQ3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/C3AHKPDNTMAENYLRKFXYK4BMQ3/action/storage_attestation","attest_author":"https://pith.science/pith/C3AHKPDNTMAENYLRKFXYK4BMQ3/action/author_attestation","sign_citation":"https://pith.science/pith/C3AHKPDNTMAENYLRKFXYK4BMQ3/action/citation_signature","submit_replication":"https://pith.science/pith/C3AHKPDNTMAENYLRKFXYK4BMQ3/action/replication_record"}},"created_at":"2026-05-18T01:35:58.787377+00:00","updated_at":"2026-05-18T01:35:58.787377+00:00"}