{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:R2X5PYLTWJCFQAVBR3BBLUTCEF","short_pith_number":"pith:R2X5PYLT","schema_version":"1.0","canonical_sha256":"8eafd7e173b2445802a18ec215d2622163040099e5acb9c834ff3abdfc11478b","source":{"kind":"arxiv","id":"1805.09062","version":4},"attestation_state":"computed","paper":{"title":"A ring theoretic approach to the finite representation type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Rasool Hafezi","submitted_at":"2018-05-23T11:23:00Z","abstract_excerpt":"An Artin algebra $\\Lambda$ is said to be of finite Cohen-Macaulay type, $\\rm{CM}$-finite for short, if the full subcategory $\\rm{Gprj}\\mbox{-} \\Lambda$ of finitely generated Gorenstein projective $\\Lambda$-modules is of finite representation type. If $\\Lambda$ is a $\\rm{CM}$-finite algebra, then we denote by $\\rm{Aus}(\\underline{\\rm{Gprj}}\\mbox{-} \\Lambda)$ the stable Cohen-Macaulay Auslander algebra, i.e. $\\rm{\\underline{End}}_{\\Lambda}(G)$, where $G $ is a basic representation generator of $\\rm{Gprj}\\mbox{-}\\Lambda$. In this paper, we will explain how by defining an equivalence relation on t"},"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":"1805.09062","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-05-23T11:23:00Z","cross_cats_sorted":[],"title_canon_sha256":"eba99509403d124b928815587758b8ba2faf9d240be02966213fed51ad3e3c8a","abstract_canon_sha256":"d180d957bf32f11b03b2098644d34ed44ef959c5eb64370769a197352a77c013"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:09.556076Z","signature_b64":"k6ixLtuPbZty2SpX+ldW7W69X9Q6sUMPrSNvwgMqPtOQ4RCMOzKTEy+ncivU8Q4IS8SC/ohPvkXA1A9MqzLMDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8eafd7e173b2445802a18ec215d2622163040099e5acb9c834ff3abdfc11478b","last_reissued_at":"2026-05-17T23:53:09.555524Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:09.555524Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A ring theoretic approach to the finite representation type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Rasool Hafezi","submitted_at":"2018-05-23T11:23:00Z","abstract_excerpt":"An Artin algebra $\\Lambda$ is said to be of finite Cohen-Macaulay type, $\\rm{CM}$-finite for short, if the full subcategory $\\rm{Gprj}\\mbox{-} \\Lambda$ of finitely generated Gorenstein projective $\\Lambda$-modules is of finite representation type. If $\\Lambda$ is a $\\rm{CM}$-finite algebra, then we denote by $\\rm{Aus}(\\underline{\\rm{Gprj}}\\mbox{-} \\Lambda)$ the stable Cohen-Macaulay Auslander algebra, i.e. $\\rm{\\underline{End}}_{\\Lambda}(G)$, where $G $ is a basic representation generator of $\\rm{Gprj}\\mbox{-}\\Lambda$. In this paper, we will explain how by defining an equivalence relation on t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.09062","kind":"arxiv","version":4},"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":"1805.09062","created_at":"2026-05-17T23:53:09.555610+00:00"},{"alias_kind":"arxiv_version","alias_value":"1805.09062v4","created_at":"2026-05-17T23:53:09.555610+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.09062","created_at":"2026-05-17T23:53:09.555610+00:00"},{"alias_kind":"pith_short_12","alias_value":"R2X5PYLTWJCF","created_at":"2026-05-18T12:32:50.500415+00:00"},{"alias_kind":"pith_short_16","alias_value":"R2X5PYLTWJCFQAVB","created_at":"2026-05-18T12:32:50.500415+00:00"},{"alias_kind":"pith_short_8","alias_value":"R2X5PYLT","created_at":"2026-05-18T12:32:50.500415+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/R2X5PYLTWJCFQAVBR3BBLUTCEF","json":"https://pith.science/pith/R2X5PYLTWJCFQAVBR3BBLUTCEF.json","graph_json":"https://pith.science/api/pith-number/R2X5PYLTWJCFQAVBR3BBLUTCEF/graph.json","events_json":"https://pith.science/api/pith-number/R2X5PYLTWJCFQAVBR3BBLUTCEF/events.json","paper":"https://pith.science/paper/R2X5PYLT"},"agent_actions":{"view_html":"https://pith.science/pith/R2X5PYLTWJCFQAVBR3BBLUTCEF","download_json":"https://pith.science/pith/R2X5PYLTWJCFQAVBR3BBLUTCEF.json","view_paper":"https://pith.science/paper/R2X5PYLT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1805.09062&json=true","fetch_graph":"https://pith.science/api/pith-number/R2X5PYLTWJCFQAVBR3BBLUTCEF/graph.json","fetch_events":"https://pith.science/api/pith-number/R2X5PYLTWJCFQAVBR3BBLUTCEF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/R2X5PYLTWJCFQAVBR3BBLUTCEF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/R2X5PYLTWJCFQAVBR3BBLUTCEF/action/storage_attestation","attest_author":"https://pith.science/pith/R2X5PYLTWJCFQAVBR3BBLUTCEF/action/author_attestation","sign_citation":"https://pith.science/pith/R2X5PYLTWJCFQAVBR3BBLUTCEF/action/citation_signature","submit_replication":"https://pith.science/pith/R2X5PYLTWJCFQAVBR3BBLUTCEF/action/replication_record"}},"created_at":"2026-05-17T23:53:09.555610+00:00","updated_at":"2026-05-17T23:53:09.555610+00:00"}