{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:ZVDMLUTSF2K5XY6QZILUI2W2QA","short_pith_number":"pith:ZVDMLUTS","schema_version":"1.0","canonical_sha256":"cd46c5d2722e95dbe3d0ca17446ada800950470a55ba00f8265c16085cde9951","source":{"kind":"arxiv","id":"0902.1119","version":1},"attestation_state":"computed","paper":{"title":"Artin-Schelter regular algebras and categories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.RA","authors_text":"{\\O}yvind Solberg, Roberto Martinez-Villa","submitted_at":"2009-02-06T15:30:49Z","abstract_excerpt":"Motivated by constructions in the representation theory of finite dimensional algebras we generalize the notion of Artin-Schelter regular algebras of dimension $n$ to algebras and categories to include Auslander algebras and a graded analogue for infinite representation type. A generalized Artin-Schelter regular algebra or a category of dimension $n$ is shown to have common properties with the classical Artin-Schelter regular algebras. In particular, when they admit a duality, then they satisfy Serre duality formulas and the $\\Ext$-category of nice sets of simple objects of maximal projective "},"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":"0902.1119","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2009-02-06T15:30:49Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"2fd0fcad0ca2217b64d6fd829d78d013aefefc46397bc85284ef9b4162db93ce","abstract_canon_sha256":"21083b7ca5e6104c13f24948ddf6ff5440574ba509caa2aa57ede4ca37fe440e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:31:12.488674Z","signature_b64":"7DW8hSSJv1LrR0MBVxbmJd33OS6QWs3NMfaT8scVgYKy0hNXUiHERQVX+xL86F/3iDDxcKsxZM12EV0A4nNiDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cd46c5d2722e95dbe3d0ca17446ada800950470a55ba00f8265c16085cde9951","last_reissued_at":"2026-05-18T02:31:12.488146Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:31:12.488146Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Artin-Schelter regular algebras and categories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.RA","authors_text":"{\\O}yvind Solberg, Roberto Martinez-Villa","submitted_at":"2009-02-06T15:30:49Z","abstract_excerpt":"Motivated by constructions in the representation theory of finite dimensional algebras we generalize the notion of Artin-Schelter regular algebras of dimension $n$ to algebras and categories to include Auslander algebras and a graded analogue for infinite representation type. A generalized Artin-Schelter regular algebra or a category of dimension $n$ is shown to have common properties with the classical Artin-Schelter regular algebras. In particular, when they admit a duality, then they satisfy Serre duality formulas and the $\\Ext$-category of nice sets of simple objects of maximal projective "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0902.1119","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":"0902.1119","created_at":"2026-05-18T02:31:12.488225+00:00"},{"alias_kind":"arxiv_version","alias_value":"0902.1119v1","created_at":"2026-05-18T02:31:12.488225+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0902.1119","created_at":"2026-05-18T02:31:12.488225+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZVDMLUTSF2K5","created_at":"2026-05-18T12:26:03.138858+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZVDMLUTSF2K5XY6Q","created_at":"2026-05-18T12:26:03.138858+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZVDMLUTS","created_at":"2026-05-18T12:26:03.138858+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/ZVDMLUTSF2K5XY6QZILUI2W2QA","json":"https://pith.science/pith/ZVDMLUTSF2K5XY6QZILUI2W2QA.json","graph_json":"https://pith.science/api/pith-number/ZVDMLUTSF2K5XY6QZILUI2W2QA/graph.json","events_json":"https://pith.science/api/pith-number/ZVDMLUTSF2K5XY6QZILUI2W2QA/events.json","paper":"https://pith.science/paper/ZVDMLUTS"},"agent_actions":{"view_html":"https://pith.science/pith/ZVDMLUTSF2K5XY6QZILUI2W2QA","download_json":"https://pith.science/pith/ZVDMLUTSF2K5XY6QZILUI2W2QA.json","view_paper":"https://pith.science/paper/ZVDMLUTS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0902.1119&json=true","fetch_graph":"https://pith.science/api/pith-number/ZVDMLUTSF2K5XY6QZILUI2W2QA/graph.json","fetch_events":"https://pith.science/api/pith-number/ZVDMLUTSF2K5XY6QZILUI2W2QA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZVDMLUTSF2K5XY6QZILUI2W2QA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZVDMLUTSF2K5XY6QZILUI2W2QA/action/storage_attestation","attest_author":"https://pith.science/pith/ZVDMLUTSF2K5XY6QZILUI2W2QA/action/author_attestation","sign_citation":"https://pith.science/pith/ZVDMLUTSF2K5XY6QZILUI2W2QA/action/citation_signature","submit_replication":"https://pith.science/pith/ZVDMLUTSF2K5XY6QZILUI2W2QA/action/replication_record"}},"created_at":"2026-05-18T02:31:12.488225+00:00","updated_at":"2026-05-18T02:31:12.488225+00:00"}