{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:TTRX46KD7PLZ2ZYXBWBIL2JIO5","short_pith_number":"pith:TTRX46KD","schema_version":"1.0","canonical_sha256":"9ce37e7943fbd79d67170d8285e928776369b6c4372e4e07bf6b3dfea84fb4e9","source":{"kind":"arxiv","id":"1404.4742","version":2},"attestation_state":"computed","paper":{"title":"The singularity categories of the Cluster-tilted algebras of Dynkin type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Ming Lu, Shengfei Geng, Xinhong Chen","submitted_at":"2014-04-18T10:39:38Z","abstract_excerpt":"In this paper, we use the stable categories of some selfinjective algebras to describe the singularity categories of the cluster-tilted algebras of Dynkin type. Furthermore, in this way, we settle the problem of singularity equivalence classification of the cluster-tilted algebra of type $A$, $D$ and $E$ respectively."},"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":"1404.4742","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-04-18T10:39:38Z","cross_cats_sorted":[],"title_canon_sha256":"4cf59f01d2ab9ff87577f8c6a284760732333f934ea6c7babbc5e9f7c579b3cc","abstract_canon_sha256":"7e733d018eaf88a541a41f004d39d8674fcc7c7cff23ec994d5d32a6d128848b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:42:14.508433Z","signature_b64":"Kw4eLGRAHu+1xP8EbTW8PFMzJ/gG9BdZ0qoWrdkq1iLGqWMYik7kpLyrDNEoHQKtjeBVf7afvMo0S3Wu6hHeBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9ce37e7943fbd79d67170d8285e928776369b6c4372e4e07bf6b3dfea84fb4e9","last_reissued_at":"2026-05-18T02:42:14.507968Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:42:14.507968Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The singularity categories of the Cluster-tilted algebras of Dynkin type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Ming Lu, Shengfei Geng, Xinhong Chen","submitted_at":"2014-04-18T10:39:38Z","abstract_excerpt":"In this paper, we use the stable categories of some selfinjective algebras to describe the singularity categories of the cluster-tilted algebras of Dynkin type. Furthermore, in this way, we settle the problem of singularity equivalence classification of the cluster-tilted algebra of type $A$, $D$ and $E$ respectively."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.4742","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":"1404.4742","created_at":"2026-05-18T02:42:14.508054+00:00"},{"alias_kind":"arxiv_version","alias_value":"1404.4742v2","created_at":"2026-05-18T02:42:14.508054+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.4742","created_at":"2026-05-18T02:42:14.508054+00:00"},{"alias_kind":"pith_short_12","alias_value":"TTRX46KD7PLZ","created_at":"2026-05-18T12:28:52.271510+00:00"},{"alias_kind":"pith_short_16","alias_value":"TTRX46KD7PLZ2ZYX","created_at":"2026-05-18T12:28:52.271510+00:00"},{"alias_kind":"pith_short_8","alias_value":"TTRX46KD","created_at":"2026-05-18T12:28:52.271510+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/TTRX46KD7PLZ2ZYXBWBIL2JIO5","json":"https://pith.science/pith/TTRX46KD7PLZ2ZYXBWBIL2JIO5.json","graph_json":"https://pith.science/api/pith-number/TTRX46KD7PLZ2ZYXBWBIL2JIO5/graph.json","events_json":"https://pith.science/api/pith-number/TTRX46KD7PLZ2ZYXBWBIL2JIO5/events.json","paper":"https://pith.science/paper/TTRX46KD"},"agent_actions":{"view_html":"https://pith.science/pith/TTRX46KD7PLZ2ZYXBWBIL2JIO5","download_json":"https://pith.science/pith/TTRX46KD7PLZ2ZYXBWBIL2JIO5.json","view_paper":"https://pith.science/paper/TTRX46KD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1404.4742&json=true","fetch_graph":"https://pith.science/api/pith-number/TTRX46KD7PLZ2ZYXBWBIL2JIO5/graph.json","fetch_events":"https://pith.science/api/pith-number/TTRX46KD7PLZ2ZYXBWBIL2JIO5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TTRX46KD7PLZ2ZYXBWBIL2JIO5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TTRX46KD7PLZ2ZYXBWBIL2JIO5/action/storage_attestation","attest_author":"https://pith.science/pith/TTRX46KD7PLZ2ZYXBWBIL2JIO5/action/author_attestation","sign_citation":"https://pith.science/pith/TTRX46KD7PLZ2ZYXBWBIL2JIO5/action/citation_signature","submit_replication":"https://pith.science/pith/TTRX46KD7PLZ2ZYXBWBIL2JIO5/action/replication_record"}},"created_at":"2026-05-18T02:42:14.508054+00:00","updated_at":"2026-05-18T02:42:14.508054+00:00"}