{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:3E4EWLKOIPWEWTR5UYFD43N3AM","short_pith_number":"pith:3E4EWLKO","schema_version":"1.0","canonical_sha256":"d9384b2d4e43ec4b4e3da60a3e6dbb030f86278142c0ecda2a91348cbe1bdd80","source":{"kind":"arxiv","id":"1811.01000","version":1},"attestation_state":"computed","paper":{"title":"On Perverse Equivalences and Rationality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.RT","authors_text":"Joseph Chuang, Radha Kessar","submitted_at":"2018-11-02T17:35:02Z","abstract_excerpt":"We show that perverse equivalences between module categories of finite-dimensional algebras preserve rationality. As an application, we give a connection between some famous conjectures from the modular representation theory of finite groups, namely Brou\\'e's Abelian Defect Group conjecture and Donovan's Finiteness conjectures."},"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":"1811.01000","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-11-02T17:35:02Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"3f65875fe0e5a05188c7b78fbe15d32ceb49b79ca03a0ec357dbc1079379731b","abstract_canon_sha256":"21361089a139ba0c46a44e3b72855406fc0402d969cf8d07d0c31e6de2a3f63d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:01:39.701874Z","signature_b64":"AkwY5vfVHaE6Nwx+JYGDcAl5Qy8iJlE5+Dt2zXCGBipYMV4j7vi85+z78ruZT6baxTFcdlzXDfMC1ee47gwGCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d9384b2d4e43ec4b4e3da60a3e6dbb030f86278142c0ecda2a91348cbe1bdd80","last_reissued_at":"2026-05-18T00:01:39.701334Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:01:39.701334Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Perverse Equivalences and Rationality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.RT","authors_text":"Joseph Chuang, Radha Kessar","submitted_at":"2018-11-02T17:35:02Z","abstract_excerpt":"We show that perverse equivalences between module categories of finite-dimensional algebras preserve rationality. As an application, we give a connection between some famous conjectures from the modular representation theory of finite groups, namely Brou\\'e's Abelian Defect Group conjecture and Donovan's Finiteness conjectures."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.01000","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":"1811.01000","created_at":"2026-05-18T00:01:39.701421+00:00"},{"alias_kind":"arxiv_version","alias_value":"1811.01000v1","created_at":"2026-05-18T00:01:39.701421+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.01000","created_at":"2026-05-18T00:01:39.701421+00:00"},{"alias_kind":"pith_short_12","alias_value":"3E4EWLKOIPWE","created_at":"2026-05-18T12:32:02.567920+00:00"},{"alias_kind":"pith_short_16","alias_value":"3E4EWLKOIPWEWTR5","created_at":"2026-05-18T12:32:02.567920+00:00"},{"alias_kind":"pith_short_8","alias_value":"3E4EWLKO","created_at":"2026-05-18T12:32:02.567920+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/3E4EWLKOIPWEWTR5UYFD43N3AM","json":"https://pith.science/pith/3E4EWLKOIPWEWTR5UYFD43N3AM.json","graph_json":"https://pith.science/api/pith-number/3E4EWLKOIPWEWTR5UYFD43N3AM/graph.json","events_json":"https://pith.science/api/pith-number/3E4EWLKOIPWEWTR5UYFD43N3AM/events.json","paper":"https://pith.science/paper/3E4EWLKO"},"agent_actions":{"view_html":"https://pith.science/pith/3E4EWLKOIPWEWTR5UYFD43N3AM","download_json":"https://pith.science/pith/3E4EWLKOIPWEWTR5UYFD43N3AM.json","view_paper":"https://pith.science/paper/3E4EWLKO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1811.01000&json=true","fetch_graph":"https://pith.science/api/pith-number/3E4EWLKOIPWEWTR5UYFD43N3AM/graph.json","fetch_events":"https://pith.science/api/pith-number/3E4EWLKOIPWEWTR5UYFD43N3AM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3E4EWLKOIPWEWTR5UYFD43N3AM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3E4EWLKOIPWEWTR5UYFD43N3AM/action/storage_attestation","attest_author":"https://pith.science/pith/3E4EWLKOIPWEWTR5UYFD43N3AM/action/author_attestation","sign_citation":"https://pith.science/pith/3E4EWLKOIPWEWTR5UYFD43N3AM/action/citation_signature","submit_replication":"https://pith.science/pith/3E4EWLKOIPWEWTR5UYFD43N3AM/action/replication_record"}},"created_at":"2026-05-18T00:01:39.701421+00:00","updated_at":"2026-05-18T00:01:39.701421+00:00"}