{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:JIB6775KORKAZ5Q7CK7IIGPYLE","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":"d3d7910fae36ae8893d3fef499c8b9af25b89d6f8a6321aa219228a797655172","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2019-05-31T22:19:45Z","title_canon_sha256":"10a808dfb1cc7706b0308ffd5160ba7a3be552dcb829c77af16b39d928aa0ad9"},"schema_version":"1.0","source":{"id":"1906.00106","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.00106","created_at":"2026-05-17T23:41:17Z"},{"alias_kind":"arxiv_version","alias_value":"1906.00106v2","created_at":"2026-05-17T23:41:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.00106","created_at":"2026-05-17T23:41:17Z"},{"alias_kind":"pith_short_12","alias_value":"JIB6775KORKA","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"JIB6775KORKAZ5Q7","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"JIB6775K","created_at":"2026-05-18T12:33:21Z"}],"graph_snapshots":[{"event_id":"sha256:13bfe9f1c462851ba97c937ca7588d2b561faac61bcf844e8a8eacb617b03986","target":"graph","created_at":"2026-05-17T23:41:17Z","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 define a generalized version of the frieze variety introduced by Lee, Li, Mills, Seceleanu and the second author. The generalized frieze variety is an algebraic variety determined by an acyclic quiver and a generic specialization of cluster variables in the cluster algebra for this quiver. The original frieze variety is obtained when this specialization is (1, . . . , 1). The main result is that a generalized frieze variety is determined by any generic element of any component of that variety. We also show that the \"Coxeter mutation\" cyclically permutes these components. In particular, this","authors_text":"Kiyoshi Igusa, Ralf Schiffler","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2019-05-31T22:19:45Z","title":"Frieze varieties are invariant under Coxeter mutation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.00106","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":"sha256:661310ad3f2d877c1a90d1127392ba2425469f5eab45aeb455653f0e5aaf4357","target":"record","created_at":"2026-05-17T23:41:17Z","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":"d3d7910fae36ae8893d3fef499c8b9af25b89d6f8a6321aa219228a797655172","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2019-05-31T22:19:45Z","title_canon_sha256":"10a808dfb1cc7706b0308ffd5160ba7a3be552dcb829c77af16b39d928aa0ad9"},"schema_version":"1.0","source":{"id":"1906.00106","kind":"arxiv","version":2}},"canonical_sha256":"4a03efffaa74540cf61f12be8419f8590d2e71f6c361df100518fceccfdbf59d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4a03efffaa74540cf61f12be8419f8590d2e71f6c361df100518fceccfdbf59d","first_computed_at":"2026-05-17T23:41:17.191535Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:41:17.191535Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HRcNNurukqnJcyQzYBGx2XYW3JL0QGLOuIXuZiqgEPo9Sa2iUEkHUUpzZewS2nUnIJj4ica/iUk9dtJb3HsPAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:41:17.192145Z","signed_message":"canonical_sha256_bytes"},"source_id":"1906.00106","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:661310ad3f2d877c1a90d1127392ba2425469f5eab45aeb455653f0e5aaf4357","sha256:13bfe9f1c462851ba97c937ca7588d2b561faac61bcf844e8a8eacb617b03986"],"state_sha256":"f978c0034c6a4d78d47deb13beaca696d6f42748f511fbf4dfb53b76026dd44d"}