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Lovejoy obtained an overpartition analogue of the Rogers-Ramanujan-Gordon theorem for the cases $i=1$ and $i=k$. We find an overpartition analogue of the Rogers-Ramanujan-Gordon theorem in the general case. Let $D_{k,i}(n)$ be the number of overpartitions of $n$ satisfying certain difference condition and $C_{k,i}(n)$ be the number of overpartition"},"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":"1108.5792","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2011-08-30T01:38:00Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"38ae7129c539bdd846298a350423eb42bb5b1848b4b43040997aa776cfb55cd9","abstract_canon_sha256":"c2a8f4a12d722613506fdbd49d95e12e34c3c7a07d451e902b48b40499cbc065"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:58:00.581428Z","signature_b64":"7fgghN1j+Ei+WIq93gS145BrQrQ/vRmTml0L/P8N9rsH5bNywUcTlHpnVG3UcYDpEMlJsdglDti822r+QmpwAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"30d0a4ec7da77d357bd2e4d9a8c3f2f519bc7ad4a8fce44d836c4e87bd66edd7","last_reissued_at":"2026-05-18T02:58:00.580577Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:58:00.580577Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Rogers-Ramanujan-Gordon Theorem for Overpartitions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.CO","authors_text":"Diane Y. H. Shi, Doris D. M. Sang, William Y.C. Chen","submitted_at":"2011-08-30T01:38:00Z","abstract_excerpt":"Let $B_{k,i}(n)$ be the number of partitions of $n$ with certain difference condition and let $A_{k,i}(n)$ be the number of partitions of $n$ with certain congruence condition. The Rogers-Ramanujan-Gordon theorem states that $B_{k,i}(n)=A_{k,i}(n)$. Lovejoy obtained an overpartition analogue of the Rogers-Ramanujan-Gordon theorem for the cases $i=1$ and $i=k$. We find an overpartition analogue of the Rogers-Ramanujan-Gordon theorem in the general case. Let $D_{k,i}(n)$ be the number of overpartitions of $n$ satisfying certain difference condition and $C_{k,i}(n)$ be the number of overpartition"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.5792","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":"1108.5792","created_at":"2026-05-18T02:58:00.580727+00:00"},{"alias_kind":"arxiv_version","alias_value":"1108.5792v1","created_at":"2026-05-18T02:58:00.580727+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.5792","created_at":"2026-05-18T02:58:00.580727+00:00"},{"alias_kind":"pith_short_12","alias_value":"GDIKJ3D5U56T","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_16","alias_value":"GDIKJ3D5U56TK66S","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_8","alias_value":"GDIKJ3D5","created_at":"2026-05-18T12:26:28.662955+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/GDIKJ3D5U56TK66S4TM2RQ7S6U","json":"https://pith.science/pith/GDIKJ3D5U56TK66S4TM2RQ7S6U.json","graph_json":"https://pith.science/api/pith-number/GDIKJ3D5U56TK66S4TM2RQ7S6U/graph.json","events_json":"https://pith.science/api/pith-number/GDIKJ3D5U56TK66S4TM2RQ7S6U/events.json","paper":"https://pith.science/paper/GDIKJ3D5"},"agent_actions":{"view_html":"https://pith.science/pith/GDIKJ3D5U56TK66S4TM2RQ7S6U","download_json":"https://pith.science/pith/GDIKJ3D5U56TK66S4TM2RQ7S6U.json","view_paper":"https://pith.science/paper/GDIKJ3D5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1108.5792&json=true","fetch_graph":"https://pith.science/api/pith-number/GDIKJ3D5U56TK66S4TM2RQ7S6U/graph.json","fetch_events":"https://pith.science/api/pith-number/GDIKJ3D5U56TK66S4TM2RQ7S6U/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GDIKJ3D5U56TK66S4TM2RQ7S6U/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GDIKJ3D5U56TK66S4TM2RQ7S6U/action/storage_attestation","attest_author":"https://pith.science/pith/GDIKJ3D5U56TK66S4TM2RQ7S6U/action/author_attestation","sign_citation":"https://pith.science/pith/GDIKJ3D5U56TK66S4TM2RQ7S6U/action/citation_signature","submit_replication":"https://pith.science/pith/GDIKJ3D5U56TK66S4TM2RQ7S6U/action/replication_record"}},"created_at":"2026-05-18T02:58:00.580727+00:00","updated_at":"2026-05-18T02:58:00.580727+00:00"}