{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:S353GNU3VJTVKBZLTBV5ABWHXV","short_pith_number":"pith:S353GNU3","schema_version":"1.0","canonical_sha256":"96fbb3369baa6755072b986bd006c7bd6a2af3d8181d14f32060843492706015","source":{"kind":"arxiv","id":"1604.00484","version":3},"attestation_state":"computed","paper":{"title":"G-stable support $\\tau$-tilting modules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Yingying Zhang, Zhaoyong Huang","submitted_at":"2016-04-02T10:44:32Z","abstract_excerpt":"Motivated by $\\tau$-tilting theory developed by Adachi, Iyama and Reiten, for a finite-dimensional algebra $\\Lambda$ with action by a finite group $G$, we introduce the notion of $G$-stable support $\\tau$-tilting modules. Then we establish bijections among $G$-stable support $\\tau$-tilting modules over $\\Lambda$, $G$-stable two-term silting complexes in the homotopy category of bounded complexes of finitely generated projective $\\Lambda$-modules, and $G$-stable functorially finite torsion classes in the category of finitely generated left $\\Lambda$-modules. In the case when $\\Lambda$ is the en"},"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":"1604.00484","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-04-02T10:44:32Z","cross_cats_sorted":[],"title_canon_sha256":"05b092933da71f7210b9672df031f02b20d8c3b194db233496207811750ec72a","abstract_canon_sha256":"7cdb256e765d9354ac842da6062dadec951685860af83888fc028210d3f03f65"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:10:37.755445Z","signature_b64":"MPKIpg3pogr1lzgxpYO6Vwn6T9pD+Qi/988AvoCHr3g7/F2iXT4AHYhrJMrxI4EWI2UsYdIJ3ZSEj/M+0SdJBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"96fbb3369baa6755072b986bd006c7bd6a2af3d8181d14f32060843492706015","last_reissued_at":"2026-05-18T01:10:37.754846Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:10:37.754846Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"G-stable support $\\tau$-tilting modules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Yingying Zhang, Zhaoyong Huang","submitted_at":"2016-04-02T10:44:32Z","abstract_excerpt":"Motivated by $\\tau$-tilting theory developed by Adachi, Iyama and Reiten, for a finite-dimensional algebra $\\Lambda$ with action by a finite group $G$, we introduce the notion of $G$-stable support $\\tau$-tilting modules. Then we establish bijections among $G$-stable support $\\tau$-tilting modules over $\\Lambda$, $G$-stable two-term silting complexes in the homotopy category of bounded complexes of finitely generated projective $\\Lambda$-modules, and $G$-stable functorially finite torsion classes in the category of finitely generated left $\\Lambda$-modules. In the case when $\\Lambda$ is the en"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.00484","kind":"arxiv","version":3},"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":"1604.00484","created_at":"2026-05-18T01:10:37.754928+00:00"},{"alias_kind":"arxiv_version","alias_value":"1604.00484v3","created_at":"2026-05-18T01:10:37.754928+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.00484","created_at":"2026-05-18T01:10:37.754928+00:00"},{"alias_kind":"pith_short_12","alias_value":"S353GNU3VJTV","created_at":"2026-05-18T12:30:41.710351+00:00"},{"alias_kind":"pith_short_16","alias_value":"S353GNU3VJTVKBZL","created_at":"2026-05-18T12:30:41.710351+00:00"},{"alias_kind":"pith_short_8","alias_value":"S353GNU3","created_at":"2026-05-18T12:30:41.710351+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/S353GNU3VJTVKBZLTBV5ABWHXV","json":"https://pith.science/pith/S353GNU3VJTVKBZLTBV5ABWHXV.json","graph_json":"https://pith.science/api/pith-number/S353GNU3VJTVKBZLTBV5ABWHXV/graph.json","events_json":"https://pith.science/api/pith-number/S353GNU3VJTVKBZLTBV5ABWHXV/events.json","paper":"https://pith.science/paper/S353GNU3"},"agent_actions":{"view_html":"https://pith.science/pith/S353GNU3VJTVKBZLTBV5ABWHXV","download_json":"https://pith.science/pith/S353GNU3VJTVKBZLTBV5ABWHXV.json","view_paper":"https://pith.science/paper/S353GNU3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1604.00484&json=true","fetch_graph":"https://pith.science/api/pith-number/S353GNU3VJTVKBZLTBV5ABWHXV/graph.json","fetch_events":"https://pith.science/api/pith-number/S353GNU3VJTVKBZLTBV5ABWHXV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/S353GNU3VJTVKBZLTBV5ABWHXV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/S353GNU3VJTVKBZLTBV5ABWHXV/action/storage_attestation","attest_author":"https://pith.science/pith/S353GNU3VJTVKBZLTBV5ABWHXV/action/author_attestation","sign_citation":"https://pith.science/pith/S353GNU3VJTVKBZLTBV5ABWHXV/action/citation_signature","submit_replication":"https://pith.science/pith/S353GNU3VJTVKBZLTBV5ABWHXV/action/replication_record"}},"created_at":"2026-05-18T01:10:37.754928+00:00","updated_at":"2026-05-18T01:10:37.754928+00:00"}