{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:GTC6WBHHIJAVJVTUYDCM5DAALN","short_pith_number":"pith:GTC6WBHH","schema_version":"1.0","canonical_sha256":"34c5eb04e7424154d674c0c4ce8c005b7b965d280220057e125c5ee89badfe3c","source":{"kind":"arxiv","id":"1704.02875","version":2},"attestation_state":"computed","paper":{"title":"The two-term Machin-like formula for pi with small arguments of the arctangent function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GM","authors_text":"B. M. Quine, S. M. Abrarov","submitted_at":"2017-04-03T04:51:08Z","abstract_excerpt":"In this paper we propose a new method for determination of the two-term Machin-like formula for pi with arbitrarily small arguments of the arctangent function. This approach excludes irrational numbers in computation and leads to a significant improvement in convergence with decreasing arguments of the arctangent 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":"1704.02875","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GM","submitted_at":"2017-04-03T04:51:08Z","cross_cats_sorted":[],"title_canon_sha256":"727d337fe0b4d701e08b051e8284faff9d49a1ab77c84d01984ba803c456189b","abstract_canon_sha256":"5b5faab89ad971a22718b1b357e6676e9c743c6fba14c856ca934b81ccf871b1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:46:18.332086Z","signature_b64":"E55VK0lgEjlfxPnii6NIbSPA/Uh5TK6ICH9WpXTv+3jsXyj2Fb/qz+/tOv26tE23aF4c+pySrc96Ch8pu/qbAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"34c5eb04e7424154d674c0c4ce8c005b7b965d280220057e125c5ee89badfe3c","last_reissued_at":"2026-05-18T00:46:18.331729Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:46:18.331729Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The two-term Machin-like formula for pi with small arguments of the arctangent function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GM","authors_text":"B. M. Quine, S. M. Abrarov","submitted_at":"2017-04-03T04:51:08Z","abstract_excerpt":"In this paper we propose a new method for determination of the two-term Machin-like formula for pi with arbitrarily small arguments of the arctangent function. This approach excludes irrational numbers in computation and leads to a significant improvement in convergence with decreasing arguments of the arctangent function."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.02875","kind":"arxiv","version":2},"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":"1704.02875","created_at":"2026-05-18T00:46:18.331794+00:00"},{"alias_kind":"arxiv_version","alias_value":"1704.02875v2","created_at":"2026-05-18T00:46:18.331794+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.02875","created_at":"2026-05-18T00:46:18.331794+00:00"},{"alias_kind":"pith_short_12","alias_value":"GTC6WBHHIJAV","created_at":"2026-05-18T12:31:18.294218+00:00"},{"alias_kind":"pith_short_16","alias_value":"GTC6WBHHIJAVJVTU","created_at":"2026-05-18T12:31:18.294218+00:00"},{"alias_kind":"pith_short_8","alias_value":"GTC6WBHH","created_at":"2026-05-18T12:31:18.294218+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/GTC6WBHHIJAVJVTUYDCM5DAALN","json":"https://pith.science/pith/GTC6WBHHIJAVJVTUYDCM5DAALN.json","graph_json":"https://pith.science/api/pith-number/GTC6WBHHIJAVJVTUYDCM5DAALN/graph.json","events_json":"https://pith.science/api/pith-number/GTC6WBHHIJAVJVTUYDCM5DAALN/events.json","paper":"https://pith.science/paper/GTC6WBHH"},"agent_actions":{"view_html":"https://pith.science/pith/GTC6WBHHIJAVJVTUYDCM5DAALN","download_json":"https://pith.science/pith/GTC6WBHHIJAVJVTUYDCM5DAALN.json","view_paper":"https://pith.science/paper/GTC6WBHH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1704.02875&json=true","fetch_graph":"https://pith.science/api/pith-number/GTC6WBHHIJAVJVTUYDCM5DAALN/graph.json","fetch_events":"https://pith.science/api/pith-number/GTC6WBHHIJAVJVTUYDCM5DAALN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GTC6WBHHIJAVJVTUYDCM5DAALN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GTC6WBHHIJAVJVTUYDCM5DAALN/action/storage_attestation","attest_author":"https://pith.science/pith/GTC6WBHHIJAVJVTUYDCM5DAALN/action/author_attestation","sign_citation":"https://pith.science/pith/GTC6WBHHIJAVJVTUYDCM5DAALN/action/citation_signature","submit_replication":"https://pith.science/pith/GTC6WBHHIJAVJVTUYDCM5DAALN/action/replication_record"}},"created_at":"2026-05-18T00:46:18.331794+00:00","updated_at":"2026-05-18T00:46:18.331794+00:00"}