{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:QLQ7YPZXLGB5AVBTMBVTKOI3IU","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":"608424ede87f6f95b651dc500f79c8291dfa50f6663a4e19ccffe083ad399022","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-03-17T19:08:23Z","title_canon_sha256":"0cfa39fc94cfe5dfacf0b996cf5addfcece9b839ee878ca0d60980a7299c218e"},"schema_version":"1.0","source":{"id":"1703.06174","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.06174","created_at":"2026-05-17T23:57:51Z"},{"alias_kind":"arxiv_version","alias_value":"1703.06174v2","created_at":"2026-05-17T23:57:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.06174","created_at":"2026-05-17T23:57:51Z"},{"alias_kind":"pith_short_12","alias_value":"QLQ7YPZXLGB5","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"QLQ7YPZXLGB5AVBT","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"QLQ7YPZX","created_at":"2026-05-18T12:31:39Z"}],"graph_snapshots":[{"event_id":"sha256:e1e586e330e64e4132004082dd59228672a94dbd53c902be4a53f43a4a0d0bc5","target":"graph","created_at":"2026-05-17T23:57:51Z","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":"We introduce admissible group actions on cluster algebras, cluster categories and quivers with potential and study the resulting orbit spaces. The orbit space of the cluster algebra has the structure of a generalized cluster algebra. This generalized cluster structure is different from those introduced by Chekhov-Shapiro and Lam-Pylyavskyy. For group actions on cluster algebras from surfaces, we describe the generalized cluster structure of the orbit space in terms of a triangulated orbifold. In this case, we give a complete list of exchange polynomials, and we classify the algebras of rank 1 ","authors_text":"Charles Paquette, Ralf Schiffler","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-03-17T19:08:23Z","title":"Group actions on cluster algebras and cluster categories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.06174","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":"sha256:0957063c99fcc5c1c8925aa16bd3a2df75bb11e4f620ff2e3b64a5f636f3c3ae","target":"record","created_at":"2026-05-17T23:57:51Z","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":"608424ede87f6f95b651dc500f79c8291dfa50f6663a4e19ccffe083ad399022","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-03-17T19:08:23Z","title_canon_sha256":"0cfa39fc94cfe5dfacf0b996cf5addfcece9b839ee878ca0d60980a7299c218e"},"schema_version":"1.0","source":{"id":"1703.06174","kind":"arxiv","version":2}},"canonical_sha256":"82e1fc3f375983d05433606b35391b4526d4d1fafde25ed0b422629b69994351","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"82e1fc3f375983d05433606b35391b4526d4d1fafde25ed0b422629b69994351","first_computed_at":"2026-05-17T23:57:51.016366Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:57:51.016366Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mUxTTcy41u0MbdVhtzPkmw2JTvkx7QCUUfHdj91pyrnMC6pWsUhO5RaPgEKPBnRyZvmE5cIQkvDKFBGXQVilAg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:57:51.016958Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.06174","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0957063c99fcc5c1c8925aa16bd3a2df75bb11e4f620ff2e3b64a5f636f3c3ae","sha256:e1e586e330e64e4132004082dd59228672a94dbd53c902be4a53f43a4a0d0bc5"],"state_sha256":"37e4240b7ef88a454e5e837eff5743748d6251d9fac3f19decfc4b4878c4ea77"}