{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:GC4OQL34EE6VLB3FR3O3D54C72","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":"d42d345399a0b65c011b58174901d16966de77e1d768e0946589f9992c7774dc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2017-12-17T18:13:55Z","title_canon_sha256":"351652a28047af126014289cadef4e984ff863fe2e3ab4add046b14c06af003a"},"schema_version":"1.0","source":{"id":"1712.06154","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.06154","created_at":"2026-05-18T00:12:14Z"},{"alias_kind":"arxiv_version","alias_value":"1712.06154v2","created_at":"2026-05-18T00:12:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.06154","created_at":"2026-05-18T00:12:14Z"},{"alias_kind":"pith_short_12","alias_value":"GC4OQL34EE6V","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"GC4OQL34EE6VLB3F","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"GC4OQL34","created_at":"2026-05-18T12:31:15Z"}],"graph_snapshots":[{"event_id":"sha256:78254fa40c94e593057f65ee23f01c73abeccc6f761a692220cdb882192b798d","target":"graph","created_at":"2026-05-18T00:12:14Z","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":"In the Reflection Equation (RE) algebra associated with an involutive or Hecke symmetry $R$ the center is generated by elements ${\\rm Tr}_R L^k$ (called the quantum power sums), where $L$ is the generating matrix of this algebra and ${\\rm Tr}_R$ is the $R$-trace associated with $R$. We consider the problem: whether it is so in certain RE-like algebras depending on spectral parameters. Mainly, we deal with algebras similar to those considered in \\cite{RS} (we call them algebras of RS type). These algebras are defined by means of some current (i.e. depending on parameters) $R$-matrices arising f","authors_text":"Dimitri Gurevich, Pavel Saponov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2017-12-17T18:13:55Z","title":"Centers in Generalized Reflection Equation algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.06154","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:e3f7fe040b61ab1ba379dff4288f9e873d0c8da735b91fe0bfa70c030d45f14b","target":"record","created_at":"2026-05-18T00:12:14Z","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":"d42d345399a0b65c011b58174901d16966de77e1d768e0946589f9992c7774dc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2017-12-17T18:13:55Z","title_canon_sha256":"351652a28047af126014289cadef4e984ff863fe2e3ab4add046b14c06af003a"},"schema_version":"1.0","source":{"id":"1712.06154","kind":"arxiv","version":2}},"canonical_sha256":"30b8e82f7c213d5587658eddb1f782feafd22d996cc5c337cf7dc036dbbc49db","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"30b8e82f7c213d5587658eddb1f782feafd22d996cc5c337cf7dc036dbbc49db","first_computed_at":"2026-05-18T00:12:14.015311Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:12:14.015311Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kf3AByv3hVnIboieNPFDFCPLvHn2k92xMGHsTu51eAzHZ0FGZBW6nnXBmyhsQfCQjikzAVxthdYOlOxn1SU9CA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:12:14.015779Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.06154","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e3f7fe040b61ab1ba379dff4288f9e873d0c8da735b91fe0bfa70c030d45f14b","sha256:78254fa40c94e593057f65ee23f01c73abeccc6f761a692220cdb882192b798d"],"state_sha256":"3baf86473ef7495200768997c30e024dc6330e233894171c298eda28636b74a5"}