{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:L22YXZ2NWKWR5M6FU5FU4JNDJO","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"1ccfe3362408ef1ab9a4b6d9ee5681b484af05d69f23c05d4e408a88d4993435","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-03-09T07:23:00Z","title_canon_sha256":"43855933c51f402eb546abafa7e6d25256d5df6e132cb67a70e55fd95bfb0377"},"schema_version":"1.0","source":{"id":"1503.02385","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.02385","created_at":"2026-05-18T00:46:21Z"},{"alias_kind":"arxiv_version","alias_value":"1503.02385v2","created_at":"2026-05-18T00:46:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.02385","created_at":"2026-05-18T00:46:21Z"},{"alias_kind":"pith_short_12","alias_value":"L22YXZ2NWKWR","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"L22YXZ2NWKWR5M6F","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"L22YXZ2N","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:1908258c7b86af219b027da5077cf5e1ee4572be61e2f1263253c4ac163b62be","target":"graph","created_at":"2026-05-18T00:46:21Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The Nakayama conjecture states that an algebra of infinite dominant dimension should be self-injective. Motivated by understanding this conjecture in the context of derived categories, we study dominant dimensions of algebras under derived equivalences induced by tilting modules, specifically, the infinity of dominant dimensions under tilting procedure. We first give a new method to produce derived equivalences from relatively exact sequences, and then establish relationships and lower bounds of dominant dimensions for derived equivalences induced by tilting modules. Particularly, we show that","authors_text":"Changchang Xi, Hongxing Chen","cross_cats":["math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-03-09T07:23:00Z","title":"Dominant dimensions, derived equivalences and tilting modules"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.02385","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:dc9b52e9d66b18bf467baee51509965203c320d3e07f027710915ff85f61e3be","target":"record","created_at":"2026-05-18T00:46:21Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"1ccfe3362408ef1ab9a4b6d9ee5681b484af05d69f23c05d4e408a88d4993435","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-03-09T07:23:00Z","title_canon_sha256":"43855933c51f402eb546abafa7e6d25256d5df6e132cb67a70e55fd95bfb0377"},"schema_version":"1.0","source":{"id":"1503.02385","kind":"arxiv","version":2}},"canonical_sha256":"5eb58be74db2ad1eb3c5a74b4e25a34b85f62fb6c9886d0178dc805b23c9e612","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5eb58be74db2ad1eb3c5a74b4e25a34b85f62fb6c9886d0178dc805b23c9e612","first_computed_at":"2026-05-18T00:46:21.311410Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:21.311410Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RthcP9lKY87WKrN4PRGMCV0kVj8JfjBW/W9330+gsXNV4kq1lh7e5/1NWkqCuFCx8HB+GSnAQbrVnEQHUg1BBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:21.311937Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.02385","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dc9b52e9d66b18bf467baee51509965203c320d3e07f027710915ff85f61e3be","sha256:1908258c7b86af219b027da5077cf5e1ee4572be61e2f1263253c4ac163b62be"],"state_sha256":"b3c97ce0f853414948f86f53da941cce63b5a7474813c4ea6f4ba17619f0ed3f"}