{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:BODOAQS54YIXYYCMTUBTDVQKBG","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":"89e47026c1a0053ee3060a15a22aa772104799f4737a81dc57668bf000bba28e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.QA","submitted_at":"2023-03-23T04:29:50Z","title_canon_sha256":"fab6474e63cbf8fe66ddc0c845440c507d7cc4b8379523466230096ab7ad9991"},"schema_version":"1.0","source":{"id":"2303.13030","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.13030","created_at":"2026-07-05T06:46:46Z"},{"alias_kind":"arxiv_version","alias_value":"2303.13030v3","created_at":"2026-07-05T06:46:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.13030","created_at":"2026-07-05T06:46:46Z"},{"alias_kind":"pith_short_12","alias_value":"BODOAQS54YIX","created_at":"2026-07-05T06:46:46Z"},{"alias_kind":"pith_short_16","alias_value":"BODOAQS54YIXYYCM","created_at":"2026-07-05T06:46:46Z"},{"alias_kind":"pith_short_8","alias_value":"BODOAQS5","created_at":"2026-07-05T06:46:46Z"}],"graph_snapshots":[{"event_id":"sha256:21f2f799ff68179df1e01ca0dfc7dee6ef74153ba4181887d219d6c6d0823bc7","target":"graph","created_at":"2026-07-05T06:46:46Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2303.13030/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we study quasi-homomorphisms of quantum cluster algebras, which are quantum analogy of quasi-homomorphisms of cluster algebras introduced by Fraser.\n  For a quantum Grassmannian cluster algebra $\\mathbb{C}_q[{\\rm Gr}(k,n)]$, we show that there is an associated braid group and each generator $\\sigma_i$ of the braid group preserves the quasi-commutative relations of quantum Pl\\\"{u}cker coordinates and exchange relations of the quantum Grassmannian cluster algebra. We conjecture that $\\sigma_i$ also preserves $r$-term ($r \\ge 4$) quantum Pl\\\"{u}cker relations of $\\mathbb{C}_q[{\\rm ","authors_text":"Jian-Rong Li, Min Huang, Wen Chang","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.QA","submitted_at":"2023-03-23T04:29:50Z","title":"Quasi-homomorphisms of quantum cluster algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.13030","kind":"arxiv","version":3},"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":"sha256:73b46183a04176c34cfc4564bd5f21b90469e1982e7971f7c82162ac6b647a89","target":"record","created_at":"2026-07-05T06:46:46Z","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":"89e47026c1a0053ee3060a15a22aa772104799f4737a81dc57668bf000bba28e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.QA","submitted_at":"2023-03-23T04:29:50Z","title_canon_sha256":"fab6474e63cbf8fe66ddc0c845440c507d7cc4b8379523466230096ab7ad9991"},"schema_version":"1.0","source":{"id":"2303.13030","kind":"arxiv","version":3}},"canonical_sha256":"0b86e0425de6117c604c9d0331d60a09a35fe8855389f8647983a3f7d65cbed7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0b86e0425de6117c604c9d0331d60a09a35fe8855389f8647983a3f7d65cbed7","first_computed_at":"2026-07-05T06:46:46.980915Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:46:46.980915Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pwO4jcigGkt8QGVayTaLs5ixNxjPPXSjfvlmWn+NMi8mMAooAZK0oiWk4GQE/E1B+Gfv4O1JbRS5/hostfCMAA==","signature_status":"signed_v1","signed_at":"2026-07-05T06:46:46.981455Z","signed_message":"canonical_sha256_bytes"},"source_id":"2303.13030","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:73b46183a04176c34cfc4564bd5f21b90469e1982e7971f7c82162ac6b647a89","sha256:21f2f799ff68179df1e01ca0dfc7dee6ef74153ba4181887d219d6c6d0823bc7"],"state_sha256":"a050abaf3bf58e800553fe2df3b085247c3bc08d352458111842fd379a0bf3f6"}