{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:WQI4J7UG4QEDTRPCXNOUT2ZGE7","short_pith_number":"pith:WQI4J7UG","schema_version":"1.0","canonical_sha256":"b411c4fe86e40839c5e2bb5d49eb2627d2209219f23a4cd9669f4180d15255e8","source":{"kind":"arxiv","id":"1711.00416","version":2},"attestation_state":"computed","paper":{"title":"Ringel duality for certain strongly quasi-hereditary algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.RT","authors_text":"Joseph Karmazyn, Martin Kalck","submitted_at":"2017-11-01T16:13:07Z","abstract_excerpt":"We introduce quasi-hereditary endomorphism algebras defined over a new class of finite dimensional monomial algebras with a special ideal structure. The main result is a uniform formula describing the Ringel duals of these quasi-hereditary algebras.\n  As special cases, we obtain a Ringel-duality formula for a family of strongly quasi-hereditary algebras arising from a type A configuration of projective lines in a rational, projective surface as recently introduced by Hille and Ploog, for certain Auslander-Dlab-Ringel algebras, and for Eiriksson and Sauter's nilpotent quiver algebras when the q"},"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":"1711.00416","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-11-01T16:13:07Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"df4b0019c2f6d79ebfc9c35e78ec82265c8a0ba5aea4832acdb08196c89b86aa","abstract_canon_sha256":"854dc756d1af3b5b5c0f34ab297a3ff5b5ae6d3df8563be4498c480616e98bd3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:16:50.477243Z","signature_b64":"mTeFPkup9iWB32mBJjPOKvLlKY0yGYozJUNNDZ9Cfsx0ntzFj/Zq6xeEHzsreUbo1H0Ym0NBNm/6f+Rpp4NXBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b411c4fe86e40839c5e2bb5d49eb2627d2209219f23a4cd9669f4180d15255e8","last_reissued_at":"2026-05-18T00:16:50.476432Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:16:50.476432Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Ringel duality for certain strongly quasi-hereditary algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.RT","authors_text":"Joseph Karmazyn, Martin Kalck","submitted_at":"2017-11-01T16:13:07Z","abstract_excerpt":"We introduce quasi-hereditary endomorphism algebras defined over a new class of finite dimensional monomial algebras with a special ideal structure. The main result is a uniform formula describing the Ringel duals of these quasi-hereditary algebras.\n  As special cases, we obtain a Ringel-duality formula for a family of strongly quasi-hereditary algebras arising from a type A configuration of projective lines in a rational, projective surface as recently introduced by Hille and Ploog, for certain Auslander-Dlab-Ringel algebras, and for Eiriksson and Sauter's nilpotent quiver algebras when the q"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.00416","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":"1711.00416","created_at":"2026-05-18T00:16:50.476571+00:00"},{"alias_kind":"arxiv_version","alias_value":"1711.00416v2","created_at":"2026-05-18T00:16:50.476571+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.00416","created_at":"2026-05-18T00:16:50.476571+00:00"},{"alias_kind":"pith_short_12","alias_value":"WQI4J7UG4QED","created_at":"2026-05-18T12:31:53.515858+00:00"},{"alias_kind":"pith_short_16","alias_value":"WQI4J7UG4QEDTRPC","created_at":"2026-05-18T12:31:53.515858+00:00"},{"alias_kind":"pith_short_8","alias_value":"WQI4J7UG","created_at":"2026-05-18T12:31:53.515858+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/WQI4J7UG4QEDTRPCXNOUT2ZGE7","json":"https://pith.science/pith/WQI4J7UG4QEDTRPCXNOUT2ZGE7.json","graph_json":"https://pith.science/api/pith-number/WQI4J7UG4QEDTRPCXNOUT2ZGE7/graph.json","events_json":"https://pith.science/api/pith-number/WQI4J7UG4QEDTRPCXNOUT2ZGE7/events.json","paper":"https://pith.science/paper/WQI4J7UG"},"agent_actions":{"view_html":"https://pith.science/pith/WQI4J7UG4QEDTRPCXNOUT2ZGE7","download_json":"https://pith.science/pith/WQI4J7UG4QEDTRPCXNOUT2ZGE7.json","view_paper":"https://pith.science/paper/WQI4J7UG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1711.00416&json=true","fetch_graph":"https://pith.science/api/pith-number/WQI4J7UG4QEDTRPCXNOUT2ZGE7/graph.json","fetch_events":"https://pith.science/api/pith-number/WQI4J7UG4QEDTRPCXNOUT2ZGE7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WQI4J7UG4QEDTRPCXNOUT2ZGE7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WQI4J7UG4QEDTRPCXNOUT2ZGE7/action/storage_attestation","attest_author":"https://pith.science/pith/WQI4J7UG4QEDTRPCXNOUT2ZGE7/action/author_attestation","sign_citation":"https://pith.science/pith/WQI4J7UG4QEDTRPCXNOUT2ZGE7/action/citation_signature","submit_replication":"https://pith.science/pith/WQI4J7UG4QEDTRPCXNOUT2ZGE7/action/replication_record"}},"created_at":"2026-05-18T00:16:50.476571+00:00","updated_at":"2026-05-18T00:16:50.476571+00:00"}