{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:DEJLDMAAQCQDLS34OCLW4UJ3F6","short_pith_number":"pith:DEJLDMAA","schema_version":"1.0","canonical_sha256":"1912b1b00080a035cb7c70976e513b2fbf7a5a47bacd2e48bf37ee880269fb69","source":{"kind":"arxiv","id":"1801.06244","version":3},"attestation_state":"computed","paper":{"title":"Short proof of Rademacher's formula for partitions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Brandon Williams, Wladimir de Azevedo Pribitkin","submitted_at":"2018-01-18T22:00:11Z","abstract_excerpt":"This note rederives a formula for $r$-color partitions, $1 \\le r \\le 24$, including Rademacher's celebrated result for ordinary partitions, from the duality between modular forms of weights $-r/2$ and $2+r/2$."},"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":"1801.06244","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-01-18T22:00:11Z","cross_cats_sorted":[],"title_canon_sha256":"3ae0230ccef5271240f6806df5cf420095c2fe75ee0e6bc039e08bcad0c270b7","abstract_canon_sha256":"49f23a8886441edf4cd6606bcb38f37fd90136203aa7eaf0268522b07e9d4ab8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:00:30.713440Z","signature_b64":"phUtyMTKAwHDZZ8T5bMy/7aWRKmYxfm7qfvBby9ATeDjj6KJvyLA+TKWgq2xC5lxpPfTSdIlps12XX4x76tlCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1912b1b00080a035cb7c70976e513b2fbf7a5a47bacd2e48bf37ee880269fb69","last_reissued_at":"2026-05-18T00:00:30.712948Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:00:30.712948Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Short proof of Rademacher's formula for partitions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Brandon Williams, Wladimir de Azevedo Pribitkin","submitted_at":"2018-01-18T22:00:11Z","abstract_excerpt":"This note rederives a formula for $r$-color partitions, $1 \\le r \\le 24$, including Rademacher's celebrated result for ordinary partitions, from the duality between modular forms of weights $-r/2$ and $2+r/2$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.06244","kind":"arxiv","version":3},"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":"1801.06244","created_at":"2026-05-18T00:00:30.713026+00:00"},{"alias_kind":"arxiv_version","alias_value":"1801.06244v3","created_at":"2026-05-18T00:00:30.713026+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.06244","created_at":"2026-05-18T00:00:30.713026+00:00"},{"alias_kind":"pith_short_12","alias_value":"DEJLDMAAQCQD","created_at":"2026-05-18T12:32:19.392346+00:00"},{"alias_kind":"pith_short_16","alias_value":"DEJLDMAAQCQDLS34","created_at":"2026-05-18T12:32:19.392346+00:00"},{"alias_kind":"pith_short_8","alias_value":"DEJLDMAA","created_at":"2026-05-18T12:32:19.392346+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/DEJLDMAAQCQDLS34OCLW4UJ3F6","json":"https://pith.science/pith/DEJLDMAAQCQDLS34OCLW4UJ3F6.json","graph_json":"https://pith.science/api/pith-number/DEJLDMAAQCQDLS34OCLW4UJ3F6/graph.json","events_json":"https://pith.science/api/pith-number/DEJLDMAAQCQDLS34OCLW4UJ3F6/events.json","paper":"https://pith.science/paper/DEJLDMAA"},"agent_actions":{"view_html":"https://pith.science/pith/DEJLDMAAQCQDLS34OCLW4UJ3F6","download_json":"https://pith.science/pith/DEJLDMAAQCQDLS34OCLW4UJ3F6.json","view_paper":"https://pith.science/paper/DEJLDMAA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1801.06244&json=true","fetch_graph":"https://pith.science/api/pith-number/DEJLDMAAQCQDLS34OCLW4UJ3F6/graph.json","fetch_events":"https://pith.science/api/pith-number/DEJLDMAAQCQDLS34OCLW4UJ3F6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DEJLDMAAQCQDLS34OCLW4UJ3F6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DEJLDMAAQCQDLS34OCLW4UJ3F6/action/storage_attestation","attest_author":"https://pith.science/pith/DEJLDMAAQCQDLS34OCLW4UJ3F6/action/author_attestation","sign_citation":"https://pith.science/pith/DEJLDMAAQCQDLS34OCLW4UJ3F6/action/citation_signature","submit_replication":"https://pith.science/pith/DEJLDMAAQCQDLS34OCLW4UJ3F6/action/replication_record"}},"created_at":"2026-05-18T00:00:30.713026+00:00","updated_at":"2026-05-18T00:00:30.713026+00:00"}