{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:WB6LMLFLCWKQ2KTUPFSDFSVXCU","short_pith_number":"pith:WB6LMLFL","schema_version":"1.0","canonical_sha256":"b07cb62cab15950d2a74796432cab715174071e00a8e938c5211a46be901aa14","source":{"kind":"arxiv","id":"0804.0815","version":1},"attestation_state":"computed","paper":{"title":"Large tilting modules and representation type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.RT","authors_text":"J. Trlifaj, L. Angeleri Huegel, O. Kerner","submitted_at":"2008-04-04T21:48:23Z","abstract_excerpt":"We study finiteness conditions on large tilting modules over arbitrary rings. We then turn to a hereditary artin algebra R and apply our results to the (infinite dimensional) tilting module L that generates all modules without preprojective direct summands. We show that the behaviour of L over its endomorphism ring determines the representation type of R. A similar result holds true for the (infinite dimensional) tilting module W that generates the divisible modules. Finally, we extend to the wild case some results on Baer modules and torsion-free modules proven in [AHT] for tame hereditary al"},"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":"0804.0815","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2008-04-04T21:48:23Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"8db50956868c15d1b59c9c75006e76920c4e46143952d9bc6a7ffa229091bcd8","abstract_canon_sha256":"9b2221fb33860fd41d329a4f205c7c6bc155149f533999898b7baeb03c78a066"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:26.850922Z","signature_b64":"zHXi8OBXse3SkSiIDgmXUO4SP07YFqKG85W7QhMLx9bqKej9Urw4ZjN/4LzBSyf5s1KyykRuakHUkh9eZBnXDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b07cb62cab15950d2a74796432cab715174071e00a8e938c5211a46be901aa14","last_reissued_at":"2026-05-18T01:23:26.850344Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:26.850344Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Large tilting modules and representation type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.RT","authors_text":"J. Trlifaj, L. Angeleri Huegel, O. Kerner","submitted_at":"2008-04-04T21:48:23Z","abstract_excerpt":"We study finiteness conditions on large tilting modules over arbitrary rings. We then turn to a hereditary artin algebra R and apply our results to the (infinite dimensional) tilting module L that generates all modules without preprojective direct summands. We show that the behaviour of L over its endomorphism ring determines the representation type of R. A similar result holds true for the (infinite dimensional) tilting module W that generates the divisible modules. Finally, we extend to the wild case some results on Baer modules and torsion-free modules proven in [AHT] for tame hereditary al"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0804.0815","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":"0804.0815","created_at":"2026-05-18T01:23:26.850462+00:00"},{"alias_kind":"arxiv_version","alias_value":"0804.0815v1","created_at":"2026-05-18T01:23:26.850462+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0804.0815","created_at":"2026-05-18T01:23:26.850462+00:00"},{"alias_kind":"pith_short_12","alias_value":"WB6LMLFLCWKQ","created_at":"2026-05-18T12:25:58.018023+00:00"},{"alias_kind":"pith_short_16","alias_value":"WB6LMLFLCWKQ2KTU","created_at":"2026-05-18T12:25:58.018023+00:00"},{"alias_kind":"pith_short_8","alias_value":"WB6LMLFL","created_at":"2026-05-18T12:25:58.018023+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/WB6LMLFLCWKQ2KTUPFSDFSVXCU","json":"https://pith.science/pith/WB6LMLFLCWKQ2KTUPFSDFSVXCU.json","graph_json":"https://pith.science/api/pith-number/WB6LMLFLCWKQ2KTUPFSDFSVXCU/graph.json","events_json":"https://pith.science/api/pith-number/WB6LMLFLCWKQ2KTUPFSDFSVXCU/events.json","paper":"https://pith.science/paper/WB6LMLFL"},"agent_actions":{"view_html":"https://pith.science/pith/WB6LMLFLCWKQ2KTUPFSDFSVXCU","download_json":"https://pith.science/pith/WB6LMLFLCWKQ2KTUPFSDFSVXCU.json","view_paper":"https://pith.science/paper/WB6LMLFL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0804.0815&json=true","fetch_graph":"https://pith.science/api/pith-number/WB6LMLFLCWKQ2KTUPFSDFSVXCU/graph.json","fetch_events":"https://pith.science/api/pith-number/WB6LMLFLCWKQ2KTUPFSDFSVXCU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WB6LMLFLCWKQ2KTUPFSDFSVXCU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WB6LMLFLCWKQ2KTUPFSDFSVXCU/action/storage_attestation","attest_author":"https://pith.science/pith/WB6LMLFLCWKQ2KTUPFSDFSVXCU/action/author_attestation","sign_citation":"https://pith.science/pith/WB6LMLFLCWKQ2KTUPFSDFSVXCU/action/citation_signature","submit_replication":"https://pith.science/pith/WB6LMLFLCWKQ2KTUPFSDFSVXCU/action/replication_record"}},"created_at":"2026-05-18T01:23:26.850462+00:00","updated_at":"2026-05-18T01:23:26.850462+00:00"}