{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:SCZIO5SCJIFSB7JDZ546EI6Z6J","short_pith_number":"pith:SCZIO5SC","schema_version":"1.0","canonical_sha256":"90b28776424a0b20fd23cf79e223d9f24792cea1c1e2fb91298159ce584a523d","source":{"kind":"arxiv","id":"1808.04221","version":1},"attestation_state":"computed","paper":{"title":"On criteria for rook equivalence of Ferrers boards","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Dan Saracino, Jonathan Bloom","submitted_at":"2018-08-13T13:59:36Z","abstract_excerpt":"In [2] we introduced a new notion of Wilf equivalence of integer partitions and proved that rook equivalence implies Wilf equivalence. In the present paper we prove the converse and thereby establish a new criterion for rook equivalence. We also refine two of the standard criteria for rook equivalence and establish another new one involving what we call \\emph{nested sequences of L's}."},"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":"1808.04221","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.CO","submitted_at":"2018-08-13T13:59:36Z","cross_cats_sorted":[],"title_canon_sha256":"1900fb2645a931822c402f4434be2e67561cff11ba4612561a1d38fe7382b460","abstract_canon_sha256":"db45931b9935a5b84f8c16d5ffc5646dbc8e294da5698ae89e395cb5fa73b309"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:08:18.574851Z","signature_b64":"wBXtAjGP6y2mwAbS7gkwGtflWv/RMFtztF4qs2exJ1rchTOAWW8RlFVPqpiTq+Q11IxR/AzabXg+R99CffRLCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"90b28776424a0b20fd23cf79e223d9f24792cea1c1e2fb91298159ce584a523d","last_reissued_at":"2026-05-18T00:08:18.574457Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:08:18.574457Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On criteria for rook equivalence of Ferrers boards","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Dan Saracino, Jonathan Bloom","submitted_at":"2018-08-13T13:59:36Z","abstract_excerpt":"In [2] we introduced a new notion of Wilf equivalence of integer partitions and proved that rook equivalence implies Wilf equivalence. In the present paper we prove the converse and thereby establish a new criterion for rook equivalence. We also refine two of the standard criteria for rook equivalence and establish another new one involving what we call \\emph{nested sequences of L's}."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.04221","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":"1808.04221","created_at":"2026-05-18T00:08:18.574524+00:00"},{"alias_kind":"arxiv_version","alias_value":"1808.04221v1","created_at":"2026-05-18T00:08:18.574524+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.04221","created_at":"2026-05-18T00:08:18.574524+00:00"},{"alias_kind":"pith_short_12","alias_value":"SCZIO5SCJIFS","created_at":"2026-05-18T12:32:53.628368+00:00"},{"alias_kind":"pith_short_16","alias_value":"SCZIO5SCJIFSB7JD","created_at":"2026-05-18T12:32:53.628368+00:00"},{"alias_kind":"pith_short_8","alias_value":"SCZIO5SC","created_at":"2026-05-18T12:32:53.628368+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/SCZIO5SCJIFSB7JDZ546EI6Z6J","json":"https://pith.science/pith/SCZIO5SCJIFSB7JDZ546EI6Z6J.json","graph_json":"https://pith.science/api/pith-number/SCZIO5SCJIFSB7JDZ546EI6Z6J/graph.json","events_json":"https://pith.science/api/pith-number/SCZIO5SCJIFSB7JDZ546EI6Z6J/events.json","paper":"https://pith.science/paper/SCZIO5SC"},"agent_actions":{"view_html":"https://pith.science/pith/SCZIO5SCJIFSB7JDZ546EI6Z6J","download_json":"https://pith.science/pith/SCZIO5SCJIFSB7JDZ546EI6Z6J.json","view_paper":"https://pith.science/paper/SCZIO5SC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1808.04221&json=true","fetch_graph":"https://pith.science/api/pith-number/SCZIO5SCJIFSB7JDZ546EI6Z6J/graph.json","fetch_events":"https://pith.science/api/pith-number/SCZIO5SCJIFSB7JDZ546EI6Z6J/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SCZIO5SCJIFSB7JDZ546EI6Z6J/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SCZIO5SCJIFSB7JDZ546EI6Z6J/action/storage_attestation","attest_author":"https://pith.science/pith/SCZIO5SCJIFSB7JDZ546EI6Z6J/action/author_attestation","sign_citation":"https://pith.science/pith/SCZIO5SCJIFSB7JDZ546EI6Z6J/action/citation_signature","submit_replication":"https://pith.science/pith/SCZIO5SCJIFSB7JDZ546EI6Z6J/action/replication_record"}},"created_at":"2026-05-18T00:08:18.574524+00:00","updated_at":"2026-05-18T00:08:18.574524+00:00"}