{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:VCYLVQOPLU4FZRXEWOBFUNQYEB","short_pith_number":"pith:VCYLVQOP","schema_version":"1.0","canonical_sha256":"a8b0bac1cf5d385cc6e4b3825a3618205ec1589d588cb593c5d799c1a66c9ccf","source":{"kind":"arxiv","id":"1109.6226","version":1},"attestation_state":"computed","paper":{"title":"Derived categories and syzygies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AC","math.CT","math.KT","math.RA"],"primary_cat":"math.RT","authors_text":"Jiaqun Wei","submitted_at":"2011-09-28T14:33:27Z","abstract_excerpt":"We introduce syzygies for derived categories and study their properties. Using these, we prove the derived invariance of the following classes of artin algebras: (1) syzygy-finite algebras, (2) Igusa-Todorov algebras, (3) AC algebras, (4) algebras satisfying the finitistic Auslander conjecture, and (5) algebras satisfying the generalized Auslander-Reiten conjecture. In particular, Gorenstein CM-finite algebras are derived invariants."},"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":"1109.6226","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2011-09-28T14:33:27Z","cross_cats_sorted":["math.AC","math.CT","math.KT","math.RA"],"title_canon_sha256":"9f33b6c382aea9dda2b47c6c6f389217c6fdb8ccc5936b42d992b42640905399","abstract_canon_sha256":"36642f872268422322d42218d858294ee7ab8414a64a119a99aab929ec4e85f6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:12:09.522242Z","signature_b64":"JBFtlPcpn2aOaXuB3Hzr+npQE+ZHLw1fG2HnFhoVGfU/p0KOJNHlkpy8mav5uePAWPfbn0yLCxdn0fvBcbolDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a8b0bac1cf5d385cc6e4b3825a3618205ec1589d588cb593c5d799c1a66c9ccf","last_reissued_at":"2026-05-18T04:12:09.521745Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:12:09.521745Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Derived categories and syzygies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AC","math.CT","math.KT","math.RA"],"primary_cat":"math.RT","authors_text":"Jiaqun Wei","submitted_at":"2011-09-28T14:33:27Z","abstract_excerpt":"We introduce syzygies for derived categories and study their properties. Using these, we prove the derived invariance of the following classes of artin algebras: (1) syzygy-finite algebras, (2) Igusa-Todorov algebras, (3) AC algebras, (4) algebras satisfying the finitistic Auslander conjecture, and (5) algebras satisfying the generalized Auslander-Reiten conjecture. In particular, Gorenstein CM-finite algebras are derived invariants."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.6226","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":"1109.6226","created_at":"2026-05-18T04:12:09.521819+00:00"},{"alias_kind":"arxiv_version","alias_value":"1109.6226v1","created_at":"2026-05-18T04:12:09.521819+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.6226","created_at":"2026-05-18T04:12:09.521819+00:00"},{"alias_kind":"pith_short_12","alias_value":"VCYLVQOPLU4F","created_at":"2026-05-18T12:26:42.757692+00:00"},{"alias_kind":"pith_short_16","alias_value":"VCYLVQOPLU4FZRXE","created_at":"2026-05-18T12:26:42.757692+00:00"},{"alias_kind":"pith_short_8","alias_value":"VCYLVQOP","created_at":"2026-05-18T12:26:42.757692+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/VCYLVQOPLU4FZRXEWOBFUNQYEB","json":"https://pith.science/pith/VCYLVQOPLU4FZRXEWOBFUNQYEB.json","graph_json":"https://pith.science/api/pith-number/VCYLVQOPLU4FZRXEWOBFUNQYEB/graph.json","events_json":"https://pith.science/api/pith-number/VCYLVQOPLU4FZRXEWOBFUNQYEB/events.json","paper":"https://pith.science/paper/VCYLVQOP"},"agent_actions":{"view_html":"https://pith.science/pith/VCYLVQOPLU4FZRXEWOBFUNQYEB","download_json":"https://pith.science/pith/VCYLVQOPLU4FZRXEWOBFUNQYEB.json","view_paper":"https://pith.science/paper/VCYLVQOP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1109.6226&json=true","fetch_graph":"https://pith.science/api/pith-number/VCYLVQOPLU4FZRXEWOBFUNQYEB/graph.json","fetch_events":"https://pith.science/api/pith-number/VCYLVQOPLU4FZRXEWOBFUNQYEB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VCYLVQOPLU4FZRXEWOBFUNQYEB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VCYLVQOPLU4FZRXEWOBFUNQYEB/action/storage_attestation","attest_author":"https://pith.science/pith/VCYLVQOPLU4FZRXEWOBFUNQYEB/action/author_attestation","sign_citation":"https://pith.science/pith/VCYLVQOPLU4FZRXEWOBFUNQYEB/action/citation_signature","submit_replication":"https://pith.science/pith/VCYLVQOPLU4FZRXEWOBFUNQYEB/action/replication_record"}},"created_at":"2026-05-18T04:12:09.521819+00:00","updated_at":"2026-05-18T04:12:09.521819+00:00"}