{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:SSC7HSLC75HL7GM2KSLS3QW4QE","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":"532284fee4f206892dc22db2b9b195df5119b670f76b06bb4e2798f888da620d","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-07-04T09:29:23Z","title_canon_sha256":"8974e644bfdf6e31c5b911ce02748a72473f3f79b258192fb5a5eb4fbe8367e9"},"schema_version":"1.0","source":{"id":"1407.1163","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.1163","created_at":"2026-05-18T02:48:18Z"},{"alias_kind":"arxiv_version","alias_value":"1407.1163v1","created_at":"2026-05-18T02:48:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.1163","created_at":"2026-05-18T02:48:18Z"},{"alias_kind":"pith_short_12","alias_value":"SSC7HSLC75HL","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"SSC7HSLC75HL7GM2","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"SSC7HSLC","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:9240bf1350da183c9f368be76834f84b1a5e61806d0320b882891da4568727e4","target":"graph","created_at":"2026-05-18T02:48:18Z","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":"Suppose that $Q$ is a connected quiver without oriented cycles and $\\sigma$ is an automorphism of $Q$. Let $k$ be an algebraically closed field whose characteristic does not divide the order of the cyclic group $\\langle\\sigma\\rangle$.\n  The aim of this paper is to investigate the relationship between indecomposable $kQ$-modules and indecomposable $kQ\\#k\\langle\\sigma\\rangle$-modules. It has been shown by Hubery that any $kQ\\#k\\langle\\sigma\\rangle$-module is an isomorphically invariant $kQ$-module, i.e., ii-module (in this paper, we call it $\\langle\\sigma\\rangle$-equivalent $kQ$-module), and con","authors_text":"Fang Li, Mianmian Zhang","cross_cats":["math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-07-04T09:29:23Z","title":"Representations of skew group algebras induced from isomorphically invariant modules over path algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.1163","kind":"arxiv","version":1},"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":"sha256:50a2de0787ee42a51ba9639f4fbec58cb2e7b9757f571302c9064f06b83c8edd","target":"record","created_at":"2026-05-18T02:48:18Z","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":"532284fee4f206892dc22db2b9b195df5119b670f76b06bb4e2798f888da620d","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-07-04T09:29:23Z","title_canon_sha256":"8974e644bfdf6e31c5b911ce02748a72473f3f79b258192fb5a5eb4fbe8367e9"},"schema_version":"1.0","source":{"id":"1407.1163","kind":"arxiv","version":1}},"canonical_sha256":"9485f3c962ff4ebf999a54972dc2dc810ba6deb2016a0027c6edf40370d40102","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9485f3c962ff4ebf999a54972dc2dc810ba6deb2016a0027c6edf40370d40102","first_computed_at":"2026-05-18T02:48:18.591718Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:48:18.591718Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZZ/HnDGMV2gtBw4A85eFXRm4lYODmm3RlzHLHGAF4mxLGdBvvyyVbsQ7N+QYkYjwvJbPjNhPXzz7j32TRjGsAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:48:18.592275Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.1163","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:50a2de0787ee42a51ba9639f4fbec58cb2e7b9757f571302c9064f06b83c8edd","sha256:9240bf1350da183c9f368be76834f84b1a5e61806d0320b882891da4568727e4"],"state_sha256":"8da148119400c549880af7a4938e3d5e1b7f6db95f968d8ad29be5686695ecc4"}