{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:DCGSYSSAQJG7KI46CF7EWPGMU6","short_pith_number":"pith:DCGSYSSA","schema_version":"1.0","canonical_sha256":"188d2c4a40824df5239e117e4b3ccca7b7e59d009b919dd16f885deea2b0859e","source":{"kind":"arxiv","id":"1212.5881","version":1},"attestation_state":"computed","paper":{"title":"A simplification of Ap\\'ery's proof of the irrationality of \\zeta(3)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO","math.DS"],"primary_cat":"math.NT","authors_text":"Krishnan Rajkumar","submitted_at":"2012-12-24T09:34:50Z","abstract_excerpt":"A simplification of Ap\\'ery's proof of the irrationality of \\zeta(3) is presented. The construction of approximations is motivated from the viewpoint of 2-dimensional recurrence relations which simplifies many of the details of the proof. Conclusive evidence is also presented that these constructions arise from a continued fraction due to Ramanujan."},"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":"1212.5881","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-12-24T09:34:50Z","cross_cats_sorted":["math.CO","math.DS"],"title_canon_sha256":"03a5bd5a5208d534093c20e588efec819466ce9d7c9f1cdb0c9fb38abea9a73d","abstract_canon_sha256":"2fe6a60d005f7eb6f78d931faa3e03c7b8bedf4758266b179ce2a378d30c2a9a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:37:51.102188Z","signature_b64":"gXrBjHFKtVUNeuMNlQkzAGg0qFIA3kEGKKBxHdjXPoqBoju8uShiAqatps0N7OlIOgPgz2w8i0PSQo87YWvOCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"188d2c4a40824df5239e117e4b3ccca7b7e59d009b919dd16f885deea2b0859e","last_reissued_at":"2026-05-18T03:37:51.101583Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:37:51.101583Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A simplification of Ap\\'ery's proof of the irrationality of \\zeta(3)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO","math.DS"],"primary_cat":"math.NT","authors_text":"Krishnan Rajkumar","submitted_at":"2012-12-24T09:34:50Z","abstract_excerpt":"A simplification of Ap\\'ery's proof of the irrationality of \\zeta(3) is presented. The construction of approximations is motivated from the viewpoint of 2-dimensional recurrence relations which simplifies many of the details of the proof. Conclusive evidence is also presented that these constructions arise from a continued fraction due to Ramanujan."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.5881","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":"1212.5881","created_at":"2026-05-18T03:37:51.101692+00:00"},{"alias_kind":"arxiv_version","alias_value":"1212.5881v1","created_at":"2026-05-18T03:37:51.101692+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.5881","created_at":"2026-05-18T03:37:51.101692+00:00"},{"alias_kind":"pith_short_12","alias_value":"DCGSYSSAQJG7","created_at":"2026-05-18T12:27:01.376967+00:00"},{"alias_kind":"pith_short_16","alias_value":"DCGSYSSAQJG7KI46","created_at":"2026-05-18T12:27:01.376967+00:00"},{"alias_kind":"pith_short_8","alias_value":"DCGSYSSA","created_at":"2026-05-18T12:27:01.376967+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/DCGSYSSAQJG7KI46CF7EWPGMU6","json":"https://pith.science/pith/DCGSYSSAQJG7KI46CF7EWPGMU6.json","graph_json":"https://pith.science/api/pith-number/DCGSYSSAQJG7KI46CF7EWPGMU6/graph.json","events_json":"https://pith.science/api/pith-number/DCGSYSSAQJG7KI46CF7EWPGMU6/events.json","paper":"https://pith.science/paper/DCGSYSSA"},"agent_actions":{"view_html":"https://pith.science/pith/DCGSYSSAQJG7KI46CF7EWPGMU6","download_json":"https://pith.science/pith/DCGSYSSAQJG7KI46CF7EWPGMU6.json","view_paper":"https://pith.science/paper/DCGSYSSA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1212.5881&json=true","fetch_graph":"https://pith.science/api/pith-number/DCGSYSSAQJG7KI46CF7EWPGMU6/graph.json","fetch_events":"https://pith.science/api/pith-number/DCGSYSSAQJG7KI46CF7EWPGMU6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DCGSYSSAQJG7KI46CF7EWPGMU6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DCGSYSSAQJG7KI46CF7EWPGMU6/action/storage_attestation","attest_author":"https://pith.science/pith/DCGSYSSAQJG7KI46CF7EWPGMU6/action/author_attestation","sign_citation":"https://pith.science/pith/DCGSYSSAQJG7KI46CF7EWPGMU6/action/citation_signature","submit_replication":"https://pith.science/pith/DCGSYSSAQJG7KI46CF7EWPGMU6/action/replication_record"}},"created_at":"2026-05-18T03:37:51.101692+00:00","updated_at":"2026-05-18T03:37:51.101692+00:00"}